Nonmodal linear stability of the Schwarzschild black hole

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A proof is given that the space L of solutions of the linearized vacuum Einstein equation around a Schwarzschild black hole is parametrized by two scalar fields, which are gauge invariant combinations of perturbed algebraic and differential invariants of the Weyl tensor and encode the information on...

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Autor principal: Dotti, Gustavo Daniel
Formato: article
Lenguaje:Inglés
Publicado: 2021
Materias:
Gravitation
General relativity
Black holes
Stability
Acceso en línea:http://hdl.handle.net/11086/19891
https://doi.org/10.1103/PhysRevLett.112.191101
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-19891
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Gravitation
General relativity
Black holes
Stability
spellingShingle Gravitation
General relativity
Black holes
Stability
Dotti, Gustavo Daniel
Nonmodal linear stability of the Schwarzschild black hole
topic_facet Gravitation
General relativity
Black holes
Stability
description A proof is given that the space L of solutions of the linearized vacuum Einstein equation around a Schwarzschild black hole is parametrized by two scalar fields, which are gauge invariant combinations of perturbed algebraic and differential invariants of the Weyl tensor and encode the information on the odd (−) and even (+) sectors L. These fields measure the distortion of the geometry caused by a generic perturbation and are shown to be pointwise bounded on the outer region r ≥ 2M.
format article
author Dotti, Gustavo Daniel
author_facet Dotti, Gustavo Daniel
author_sort Dotti, Gustavo Daniel
title Nonmodal linear stability of the Schwarzschild black hole
title_short Nonmodal linear stability of the Schwarzschild black hole
title_full Nonmodal linear stability of the Schwarzschild black hole
title_fullStr Nonmodal linear stability of the Schwarzschild black hole
title_full_unstemmed Nonmodal linear stability of the Schwarzschild black hole
title_sort nonmodal linear stability of the schwarzschild black hole
publishDate 2021
url http://hdl.handle.net/11086/19891
https://doi.org/10.1103/PhysRevLett.112.191101
work_keys_str_mv AT dottigustavodaniel nonmodallinearstabilityoftheschwarzschildblackhole
bdutipo_str Repositorios
_version_ 1764820391864303621

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