Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories

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We look for the existence of asymptotically flat simple compactifications of the form D-p × T p in D-dimensional gravity theories with higher powers of the curvature. Assuming the manifold D-p to be spherically symmetric, it is shown that the Einstein-Gauss-Bonnet theory admits this class of solutio...

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Autores principales: Giribet, Gastón Enrique, Oliva, Julio, Troncoso, Ricardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Física
Black Holes
Classical Theories of Gravity
p-branes
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83249
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83249
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Black Holes
Classical Theories of Gravity
p-branes
spellingShingle Física
Black Holes
Classical Theories of Gravity
p-branes
Giribet, Gastón Enrique
Oliva, Julio
Troncoso, Ricardo
Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories
topic_facet Física
Black Holes
Classical Theories of Gravity
p-branes
description We look for the existence of asymptotically flat simple compactifications of the form D-p × T p in D-dimensional gravity theories with higher powers of the curvature. Assuming the manifold D-p to be spherically symmetric, it is shown that the Einstein-Gauss-Bonnet theory admits this class of solutions only for the pure Einstein-Hilbert or Gauss-Bonnet Lagrangians, but not for an arbitrary linear combination of them. Once these special cases have been selected, the requirement of spherical symmetry is no longer relevant since actually any solution of the pure Einstein or pure Gauss-Bonnet theories can then be toroidally extended to higher dimensions. Depending on p and the spacetime dimension, the metric on D-p may describe a black hole or a spacetime with a conical singularity, so that the whole spacetime describes a black or a cosmic p-brane, respectively. For the purely Gauss-Bonnet theory it is shown that, if D-p is four-dimensional, a new exotic class of black hole solutions exists, for which spherical symmetry can be relaxed. Under the same assumptions, it is also shown that simple compactifications acquire a similar structure for a wide class of theories among the Lovelock family which accepts this toroidal extension. The thermodynamics of black p-branes is also discussed, and it is shown that a thermodynamical analogue of the Gregory-Laflamme transition always occurs regardless the spacetime dimension or the theory considered, hence not only for General Relativity. Relaxing the asymptotically flat behavior, it is also shown that exact black brane solutions exist within a very special class of Lovelock theories.
format Articulo
Articulo
author Giribet, Gastón Enrique
Oliva, Julio
Troncoso, Ricardo
author_facet Giribet, Gastón Enrique
Oliva, Julio
Troncoso, Ricardo
author_sort Giribet, Gastón Enrique
title Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories
title_short Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories
title_full Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories
title_fullStr Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories
title_full_unstemmed Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories
title_sort simple compactifications and black p-branes in gauss-bonnet and lovelock theories
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/83249
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AT olivajulio simplecompactificationsandblackpbranesingaussbonnetandlovelocktheories
AT troncosoricardo simplecompactificationsandblackpbranesingaussbonnetandlovelocktheories
bdutipo_str Repositorios
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