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Abstract:

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.

Registro:

Documento: Artículo
Título:Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity
Autor:Garraffo, C.; Giribet, G.; Gravanis, E.; Willison, S.
Filiación:Instituto de Astronomía y Física Del Espacio (IAFE), CONICET, Ciudad Universitaria, C.C. 67, Suc. 28, 1428 Buenos Aires, Argentina
Center for Cosmology and Particle Physics, New York University, 4 Washington Place, NY 10003, United States
Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Department of Physics, Kings College, WC2R 2LS London, United Kingdom
Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile
Año:2008
Volumen:49
Número:4
DOI: http://dx.doi.org/10.1063/1.2890377
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v49_n4_p_Garraffo

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Citas:

---------- APA ----------
Garraffo, C., Giribet, G., Gravanis, E. & Willison, S. (2008) . Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity. Journal of Mathematical Physics, 49(4).
http://dx.doi.org/10.1063/1.2890377
---------- CHICAGO ----------
Garraffo, C., Giribet, G., Gravanis, E., Willison, S. "Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity" . Journal of Mathematical Physics 49, no. 4 (2008).
http://dx.doi.org/10.1063/1.2890377
---------- MLA ----------
Garraffo, C., Giribet, G., Gravanis, E., Willison, S. "Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity" . Journal of Mathematical Physics, vol. 49, no. 4, 2008.
http://dx.doi.org/10.1063/1.2890377
---------- VANCOUVER ----------
Garraffo, C., Giribet, G., Gravanis, E., Willison, S. Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity. J. Math. Phys. 2008;49(4).
http://dx.doi.org/10.1063/1.2890377