Academic Journal
Stable Space-Like Singularity Formation for Axi-symmetric and Polarized Near-Schwarzschild Black Hole Interiors: Stable space-like singularity formation for axi-symmetric and polarized near-Schwarzschild black hole interiors
| Title: | Stable Space-Like Singularity Formation for Axi-symmetric and Polarized Near-Schwarzschild Black Hole Interiors: Stable space-like singularity formation for axi-symmetric and polarized near-Schwarzschild black hole interiors |
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| Authors: | Alexakis, Spyros, Fournodavlos, Grigorios |
| Contributors: | HEP, INSPIRE |
| Source: | Annals of PDE. 11 |
| Publication Status: | Preprint |
| Publisher Information: | Springer Science and Business Media LLC, 2025. |
| Publication Year: | 2025 |
| Subject Terms: | Einstein equations, Mathematics - Differential Geometry, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Perturbations of PDEs on manifolds, asymptotics, Methods of ordinary differential equations applied to PDEs, 01 natural sciences, General Relativity and Quantum Cosmology, Black Hole Singularities, Mathematics - Analysis of PDEs, strong cosmic censorship, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, AVTD, Strong Cosmic Censorship, black hole singularities, Singularity, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Black holes, Mixmaster, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Schwarzschild, singularity, Differential Geometry (math.DG), 83C75 (Primary), 35L72 (secondary), Space-time singularities, cosmic censorship, etc, mixmaster, Analysis of PDEs (math.AP) |
| Description: | We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data induced on a hypersurface $\{r=\e\}$, $\e< 125 pages. 6 figures |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 2199-2576 2524-5317 |
| DOI: | 10.1007/s40818-025-00200-8 |
| DOI: | 10.48550/arxiv.2004.00692 |
| Access URL: | http://arxiv.org/abs/2004.00692 https://zbmath.org/8032142 https://doi.org/10.1007/s40818-025-00200-8 https://hal.science/hal-02550130v1 https://doi.org/10.1007/s40818-025-00200-8 |
| Rights: | Springer Nature TDM arXiv Non-Exclusive Distribution |
| Accession Number: | edsair.doi.dedup.....2848f232ba8df753f6d5e5a0422d5a38 |
| Database: | OpenAIRE |
| ISSN: | 21992576 25245317 |
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| DOI: | 10.1007/s40818-025-00200-8 |