Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity

Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on the junction surface vanishes. So a spherical vacuum shell,...

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Publicado: 2008
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v49_n4_p_Garraffo
http://hdl.handle.net/20.500.12110/paper_00222488_v49_n4_p_Garraffo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00222488_v49_n4_p_Garraffo2023-06-08T14:48:15Z Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on the junction surface vanishes. So a spherical vacuum shell, containing no matter, arises as a boundary between two regions of the space-time. A general analysis is given of solutions that can be constructed by this method of geometric surgery. Such solutions are a generalized kind of spherically symmetric empty space solutions, described by metric functions of the class C0. New global structures arise with surprising features. In particular, we show that vacuum spherically symmetric wormholes do exist in this theory. These can be regarded as gravitational solitons, which connect two asymptotically (anti-)de Sitter spaces with different masses and/or different effective cosmological constants. We prove the existence of both static and dynamical solutions and discuss their (in)stability under perturbations that preserve the symmetry. This leads us to discuss a new type of instability that arises in five-dimensional Lovelock theory of gravity for certain values of the coupling of the Gauss-Bonnet term. The issues of existence and uniqueness of solutions and determinism in the dynamical evolution are also discussed. © 2008 American Institute of Physics. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v49_n4_p_Garraffo http://hdl.handle.net/20.500.12110/paper_00222488_v49_n4_p_Garraffo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in such a way that the induced stress tensor on the junction surface vanishes. So a spherical vacuum shell, containing no matter, arises as a boundary between two regions of the space-time. A general analysis is given of solutions that can be constructed by this method of geometric surgery. Such solutions are a generalized kind of spherically symmetric empty space solutions, described by metric functions of the class C0. New global structures arise with surprising features. In particular, we show that vacuum spherically symmetric wormholes do exist in this theory. These can be regarded as gravitational solitons, which connect two asymptotically (anti-)de Sitter spaces with different masses and/or different effective cosmological constants. We prove the existence of both static and dynamical solutions and discuss their (in)stability under perturbations that preserve the symmetry. This leads us to discuss a new type of instability that arises in five-dimensional Lovelock theory of gravity for certain values of the coupling of the Gauss-Bonnet term. The issues of existence and uniqueness of solutions and determinism in the dynamical evolution are also discussed. © 2008 American Institute of Physics.
title Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
spellingShingle Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
title_short Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
title_full Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
title_fullStr Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
title_full_unstemmed Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
title_sort gravitational solitons and c0 vacuum metrics in five-dimensional lovelock gravity
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v49_n4_p_Garraffo
http://hdl.handle.net/20.500.12110/paper_00222488_v49_n4_p_Garraffo
_version_ 1768545680984375296

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