uni-leipzig-open-access/json/s00205-023-01883-8
2024-01-25 14:46:53 +01:00

1 line
No EOL
19 KiB
Text

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,17]],"date-time":"2023-06-17T04:15:36Z","timestamp":1686975336761},"reference-count":49,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,5,11]],"date-time":"2023-05-11T00:00:00Z","timestamp":1683763200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,5,11]],"date-time":"2023-05-11T00:00:00Z","timestamp":1683763200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001459","name":"Ministry of Education - Singapore","doi-asserted-by":"publisher","award":["R-146-000-269-133","A-0008492-00-00","A-0004287-00-00","A-8000977-00-00"]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Arch Rational Mech Anal"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1007\/s00205-023-01883-8","type":"journal-article","created":{"date-parts":[[2023,5,11]],"date-time":"2023-05-11T19:02:30Z","timestamp":1683831750000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Curvature Blow-up and Mass Inflation in Spherically Symmetric Collapse to a Schwarzschild Black Hole"],"prefix":"10.1007","volume":"247","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-1039-8310","authenticated-orcid":false,"given":"Xinliang","family":"An","sequence":"first","affiliation":[]},{"given":"Dejan","family":"Gajic","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,11]]},"reference":[{"key":"1883_CR1","unstructured":"Alexakis, S., Fournodavlos, G.: Stable space-like singularity formation for axi-symmetric and polarized near-Schwarzschild black hole interiors. arXiv:2004.00692"},{"issue":"02","key":"1883_CR2","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1142\/S0219891619500140","volume":"16","author":"A Alho","year":"2019","unstructured":"Alho, A., Fournodavlos, G., Franzen, A.T.: The wave equation near flat Friedmann-Lema\u00eetre-Robertson-Walker and Kasner Big Bang singularities. J. Hyperb. Differ. Equ. 16(02), 379\u2013400, 2019","journal-title":"J. Hyperb. Differ. Equ."},{"key":"1883_CR3","doi-asserted-by":"crossref","unstructured":"An, X., Zhang, R.: Polynomial blow-up upper bounds for the Einstein-scalar field system under spherical symmetry. Commun. Math. Phys. 376(2), 1671\u20131704","DOI":"10.1007\/s00220-019-03677-0"},{"issue":"15","key":"1883_CR4","doi-asserted-by":"publisher","first-page":"155007","DOI":"10.1088\/1361-6382\/aacc1e","volume":"35","author":"Y Angelopoulos","year":"2018","unstructured":"Angelopoulos, Y., Aretakis, S., Gajic, D.: Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere. Class. Quantum Gravity 35(15), 155007, 2018","journal-title":"Class. Quantum Gravity"},{"key":"1883_CR5","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1016\/j.aim.2017.10.027","volume":"323","author":"Y Angelopoulos","year":"2018","unstructured":"Angelopoulos, Y., Aretakis, S., Gajic, D.: Late-time asymptotics for the wave equation on spherically symmetric, stationary backgrounds. Adv. Math. 323, 529\u2013621, 2018","journal-title":"Adv. Math."},{"key":"1883_CR6","doi-asserted-by":"crossref","unstructured":"Cardoso, V., Costa, J.L., Destounis, K., Hintz, P., Jansen, A.: Quasinormal modes and strong cosmic censorship. Phys. Rev. Lett.120(031103), 2018","DOI":"10.1103\/PhysRevLett.120.031103"},{"key":"1883_CR7","doi-asserted-by":"crossref","unstructured":"Chesler, P.M.: Numerical evolution of the interior geometry of charged black holes. arXiv:2001.02788, 2020","DOI":"10.1007\/s10714-021-02853-9"},{"key":"1883_CR8","doi-asserted-by":"publisher","first-page":"613","DOI":"10.1007\/BF01208960","volume":"109","author":"D Christodoulou","year":"1987","unstructured":"Christodoulou, D.: A mathematical theory of gravitational collapse. Commun. Math. Phys. 109, 613\u2013647, 1987","journal-title":"Commun. Math. Phys."},{"issue":"3","key":"1883_CR9","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1002\/cpa.3160440305","volume":"44","author":"D Christodoulou","year":"1991","unstructured":"Christodoulou, D.: The formation of black holes and singularities in spherically symmetric gravitational collapse. Commun. Pure Appl. Math. 44(3), 339\u2013373, 1991","journal-title":"Commun. Pure Appl. Math."},{"issue":"8","key":"1883_CR10","doi-asserted-by":"publisher","first-page":"1093","DOI":"10.1002\/cpa.3160460803","volume":"46","author":"D Christodoulou","year":"1993","unstructured":"Christodoulou, D.: Bounded variation solutions of the spherically symmetric Einstein-scalar field equations. Commun. Pure Appl. Math. 46(8), 1093\u20131220, 1993","journal-title":"Commun. Pure Appl. Math."},{"key":"1883_CR11","doi-asserted-by":"publisher","first-page":"607","DOI":"10.2307\/2118619","volume":"140","author":"D Christodoulou","year":"1994","unstructured":"Christodoulou, D.: Examples of naked singularity formation in the gravitational collapse of a scalar field. Ann. Math. 140, 607\u2013653, 1994","journal-title":"Ann. Math."},{"key":"1883_CR12","doi-asserted-by":"publisher","first-page":"183","DOI":"10.2307\/121023","volume":"149","author":"D Christodoulou","year":"1999","unstructured":"Christodoulou, D.: The instability of naked singularities in the gravitational collapse of a scalar field. Ann. Math. 149, 183\u2013217, 1999","journal-title":"Ann. Math."},{"key":"1883_CR13","doi-asserted-by":"publisher","first-page":"A23","DOI":"10.1088\/0264-9381\/16\/12A\/302","volume":"16","author":"D Christodoulou","year":"1999","unstructured":"Christodoulou, D.: On the global initial value problem and the issue of singularities. Class. Quantum Grav. 16, A23\u2013A35, 1999","journal-title":"Class. Quantum Grav."},{"key":"1883_CR14","doi-asserted-by":"publisher","volume-title":"The Formation of Black Holes in General Relativity","author":"D Christodoulou","year":"2009","unstructured":"Christodoulou, D.: The Formation of Black Holes in General Relativity. European Mathematical Society Publishing House, Helsinki (2009)","DOI":"10.4171\/068"},{"issue":"10","key":"1883_CR15","doi-asserted-by":"publisher","first-page":"3371","DOI":"10.1007\/s00023-017-0592-z","volume":"18","author":"JL Costa","year":"2017","unstructured":"Costa, J.L., Franzen, A.T.: Bounded energy waves on the black hole interior of Reissner-Nordstr\u00f6m-de Sitter. Annales Henri Poincare 18(10), 3371\u20133398, 2017","journal-title":"Annales Henri Poincare"},{"issue":"1","key":"1883_CR16","doi-asserted-by":"publisher","first-page":"015017","DOI":"10.1088\/0264-9381\/32\/1\/015017","volume":"32","author":"JL Costa","year":"2015","unstructured":"Costa, J.L., Gir\u00e3o, P.M., Nat\u00e1rio, J., Silva, J.D.: On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant: I. Well posedness and breakdown criterion. Class. Quantum Gravity 32(1), 015017, 2015","journal-title":"Class. Quantum Gravity"},{"issue":"3","key":"1883_CR17","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1007\/s00220-015-2433-6","volume":"339","author":"JL Costa","year":"2015","unstructured":"Costa, J.L., Gir\u00e3o, P.M., Nat\u00e1rio, J., Silva, J.D.: On the Global Uniqueness for the Einstein\u2013Maxwell-scalar field system with a cosmological constant: part 2: structure of the solutions and stability of the Cauchy horizon. Commun. Math. Phys. 339(3), 903\u2013947, 2015","journal-title":"Commun. Math. Phys."},{"issue":"1","key":"1883_CR18","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1007\/s40818-017-0028-6","volume":"3","author":"JL Costa","year":"2017","unstructured":"Costa, J.L., Gir\u00e3o, P.M., Nat\u00e1rio, J., Silva, J.D.: On the global uniqueness for the Einstein\u2013Maxwell-scalar field system with a cosmological constant: part 3. Mass inflation and extendibility of the solutions. Ann.f PDE 3(1), 8, 2017","journal-title":"Ann.f PDE"},{"key":"1883_CR19","doi-asserted-by":"publisher","first-page":"875","DOI":"10.4007\/annals.2003.158.875","volume":"158","author":"M Dafermos","year":"2003","unstructured":"Dafermos, M.: Stability and instability of the Cauchy horizon for the spherically symmetric Einstein\u2013Maxwell-scalar field equations. Ann. Math. 158, 875\u2013928, 2003","journal-title":"Ann. Math."},{"key":"1883_CR20","doi-asserted-by":"publisher","first-page":"0445","DOI":"10.1002\/cpa.20071","volume":"LVIII","author":"M Dafermos","year":"2005","unstructured":"Dafermos, M.: The interior of charged black holes and the problem of uniqueness in general relativity. Commun. Pure Appl. Math. LVIII, 0445\u20130504, 2005","journal-title":"Commun. Pure Appl. Math."},{"key":"1883_CR21","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1007\/s00220-014-2063-4","volume":"332","author":"M Dafermos","year":"2014","unstructured":"Dafermos, M.: Black holes without spacelike singularities. Commun. Math. Phys. 332, 729\u2013757, 2014","journal-title":"Commun. Math. Phys."},{"key":"1883_CR22","unstructured":"Dafermos, M., Holzegel, G., Rodnianski, I., Taylor, M.: The nonlinear stability of the Schwarzschild family of black holes. arXiv:2104.08222"},{"key":"1883_CR23","unstructured":"Dafermos, M., Luk, J.: The interior of dynamical vacuum black holes I: The $$C^0$$-stability of the Kerr Cauchy horizon. arXiv:1710.01722, 2017"},{"key":"1883_CR24","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1007\/s00222-005-0450-3","volume":"162","author":"M Dafermos","year":"2005","unstructured":"Dafermos, M., Rodnianski, I.: A proof of Price\u2019s law for the collapse of a self-gravitating scalar field. Invent. Math. 162, 381\u2013457, 2005","journal-title":"Invent. Math."},{"key":"1883_CR25","doi-asserted-by":"publisher","first-page":"985","DOI":"10.1007\/s00220-016-2771-z","volume":"350","author":"M Dafermos","year":"2016","unstructured":"Dafermos, M., Shlapentokh-Rothman, Y.: Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes. Commun. Math. Phys. 350, 985\u20131016, 2016","journal-title":"Commun. Math. Phys."},{"key":"1883_CR26","doi-asserted-by":"publisher","first-page":"104060","DOI":"10.1103\/PhysRevD.97.104060","volume":"97","author":"OJC Dias","year":"2018","unstructured":"Dias, O.J.C., Eperon, F.C., Reall, H.S., Santos, J.E.: Strong cosmic censorship in de Sitter space. Phys. Rev. D 97, 104060, 2018","journal-title":"Phys. Rev. D"},{"issue":"3","key":"1883_CR27","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1007\/s00220-016-2681-0","volume":"345","author":"G Fournodavlos","year":"2016","unstructured":"Fournodavlos, G.: On the backward stability of the Schwarzschild black hole singularity. Commun. Math. Phys. 345(3), 923\u2013971, 2016","journal-title":"Commun. Math. Phys."},{"key":"1883_CR28","doi-asserted-by":"crossref","unstructured":"Fournodavlos, G., Sbierski, J.: Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole. Arch. Rational Mech. Anal. pp. 1\u201345, 2019","DOI":"10.1007\/s00205-019-01434-0"},{"key":"1883_CR29","doi-asserted-by":"crossref","unstructured":"Franzen, A.T.: Boundedness of massless scalar waves on Reissner-Nordstr\u00f6m interior backgrounds. Commun. Math. Phys.343(2), 601\u2013650","DOI":"10.1007\/s00220-015-2440-7"},{"issue":"4","key":"1883_CR30","doi-asserted-by":"publisher","first-page":"1045","DOI":"10.1007\/s00023-020-00900-w","volume":"21","author":"AT Franzen","year":"2020","unstructured":"Franzen, A.T.: Boundedness of massless scalar waves on kerr interior backgrounds. Ann. Henri Poincar\u00e9 21(4), 1045\u20131111, 2020","journal-title":"Ann. Henri Poincar\u00e9"},{"key":"1883_CR31","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1007\/s00220-016-2800-y","volume":"353","author":"D Gajic","year":"2017","unstructured":"Gajic, D.: Linear waves in the interior of extremal black holes I. Commun. Math. Phys. 353, 717\u2013770, 2017","journal-title":"Commun. Math. Phys."},{"key":"1883_CR32","doi-asserted-by":"publisher","first-page":"4005","DOI":"10.1007\/s00023-017-0614-x","volume":"18","author":"D Gajic","year":"2017","unstructured":"Gajic, D.: Linear waves in the interior of extremal black holes II. Ann. Henri Poincar\u00e9 18, 4005\u20134081, 2017","journal-title":"Ann. Henri Poincar\u00e9"},{"issue":"2","key":"1883_CR33","doi-asserted-by":"publisher","first-page":"263","DOI":"10.2140\/paa.2019.1.263","volume":"1","author":"D Gajic","year":"2019","unstructured":"Gajic, D., Luk, J.: The interior of dynamical extremal black holes in spherical symmetry. Pure Appl. Anal. 1(2), 263\u2013326, 2019","journal-title":"Pure Appl. Anal."},{"issue":"4","key":"1883_CR34","doi-asserted-by":"publisher","first-page":"801","DOI":"10.4171\/CMH\/425","volume":"92","author":"P Hintz","year":"2017","unstructured":"Hintz, P.: Boundedness and decay of scalar waves at the Cauchy horizon of the Kerr spacetime. Commentarii Mathematici Helvetici 92(4), 801\u2013837, 2017","journal-title":"Commentarii Mathematici Helvetici"},{"issue":"1","key":"1883_CR35","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4310\/ACTA.2018.v220.n1.a1","volume":"220","author":"P Hintz","year":"2018","unstructured":"Hintz, P., Vasy, A.: The global non-linear stability of the Kerr-de Sitter family of black holes. Acta Math. 220(1), 1\u2013206, 2018","journal-title":"Acta Math."},{"key":"1883_CR36","doi-asserted-by":"crossref","unstructured":"Klainerman, S., Szeftel, J.: Global nonlinear stability of schwarzschild spacetime under polarized perturbations. Ann. Math. Stud. 2020","DOI":"10.2307\/j.ctv15r57cw"},{"key":"1883_CR37","doi-asserted-by":"crossref","unstructured":"Kommemi, J.: The Global Structure Of Spherically Symmetric Charged Scalar Field Spacetimes. PhD thesis, University of Cambridge (2013)","DOI":"10.1007\/s00220-013-1759-1"},{"issue":"3","key":"1883_CR38","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1215\/00127094-3715189","volume":"166","author":"J Luk","year":"2017","unstructured":"Luk, J., Oh, S.-J.: Proof of linear instability of the Reissner-Nordstr\u00f6m Cauchy horizon under scalar perturbations. Duke Math. J. 166(3), 437\u2013493, 2017","journal-title":"Duke Math. J."},{"issue":"1","key":"1883_CR39","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4007\/annals.2019.190.1.1","volume":"190","author":"J Luk","year":"2019","unstructured":"Luk, J., Oh, S.-J.: Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region. Ann. Math. 190(1), 1\u2013111, 2019","journal-title":"Ann. Math."},{"key":"1883_CR40","doi-asserted-by":"crossref","unstructured":"Luk, J., Oh, S.-J.: Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: The exterior of the black hole region. Ann. PDE5(6), 2019","DOI":"10.1007\/s40818-019-0062-7"},{"issue":"7","key":"1883_CR41","doi-asserted-by":"publisher","first-page":"1948","DOI":"10.1016\/j.jfa.2016.06.013","volume":"271","author":"J Luk","year":"2016","unstructured":"Luk, J., Sbierski, J.: Instability results for the wave equation in the interior of Kerr black holes. J. Funct. Anal. 271(7), 1948\u20131995, 2016","journal-title":"J. Funct. Anal."},{"key":"1883_CR42","doi-asserted-by":"publisher","first-page":"2419","DOI":"10.1103\/PhysRevD.5.2419","volume":"3","author":"R Price","year":"1972","unstructured":"Price, R.: Non-spherical perturbations of relativistic gravitational collapse. I. Scalar and gravitational perturbations. Phys. Rev. D 3, 2419\u20132438, 1972","journal-title":"Phys. Rev. D"},{"key":"1883_CR43","unstructured":"Ringstr\u00f6m, H.: Linear systems of wave equations on cosmological backgrounds with convergent asymptotics. arXiv:1707.02803, 2017"},{"issue":"5","key":"1883_CR44","doi-asserted-by":"publisher","first-page":"4293","DOI":"10.1007\/s00029-018-0437-8","volume":"24","author":"I Rodnianski","year":"2018","unstructured":"Rodnianski, I., Speck, J.: Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems. Sel. Math. New Ser. 24(5), 4293\u20134459, 2018","journal-title":"Sel. Math. New Ser."},{"issue":"2","key":"1883_CR45","doi-asserted-by":"publisher","first-page":"319","DOI":"10.4310\/jdg\/1518490820","volume":"108","author":"J Sbierski","year":"2018","unstructured":"Sbierski, J.: The $$C_0$$-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry. J. Differ. Geom. 108(2), 319\u2013378, 2018","journal-title":"J. Differ. Geom."},{"key":"1883_CR46","unstructured":"Schwarzschild, K.: Uber das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie, Berlin. Sitzungsberichte18, 1916"},{"issue":"1","key":"1883_CR47","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1007\/s00220-017-3079-3","volume":"360","author":"M van de Moortel","year":"2018","unstructured":"van de Moortel, M.: Stability and instability of the sub-extremal Reissner\u2013Nordstr\u00f6m black hole interior for the Einstein\u2013Maxwell\u2013Klein\u2013Gordon equations in spherical symmetry. Commun. Math. Phys. 360(1), 103\u2013168, 2018","journal-title":"Commun. Math. Phys."},{"key":"1883_CR48","unstructured":"van\u00a0de Moortel, M.: The breakdown of weak null singularities inside black holes. arXiv:1912.10890 (2019)"},{"key":"1883_CR49","doi-asserted-by":"publisher","first-page":"1263","DOI":"10.1007\/s00220-020-03923-w","volume":"382","author":"M van de Moortel","year":"2021","unstructured":"van de Moortel, M.: Mass inflation and the $$C^2$$-inextendibility of spherically symmetric charged scalar field dynamical black holes. Commun. Math. Phys. 382, 1263\u20131341, 2021","journal-title":"Commun. Math. Phys."}],"container-title":["Archive for Rational Mechanics and Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00205-023-01883-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00205-023-01883-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00205-023-01883-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,16]],"date-time":"2023-06-16T11:08:58Z","timestamp":1686913738000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00205-023-01883-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,11]]},"references-count":49,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["1883"],"URL":"http:\/\/dx.doi.org\/10.1007\/s00205-023-01883-8","relation":{},"ISSN":["0003-9527","1432-0673"],"issn-type":[{"value":"0003-9527","type":"print"},{"value":"1432-0673","type":"electronic"}],"subject":["Mechanical Engineering","Mathematics (miscellaneous)","Analysis"],"published":{"date-parts":[[2023,5,11]]},"assertion":[{"value":"10 September 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 April 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 May 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"51"}}