Bending AdS waves with new massive gravity

We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and shown to exhibit different branches, with different asymptotic behaviors. In particular, for the special fine tuning m...

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Detalles Bibliográficos
Autor principal: Giribet, Gastón Enrique
Publicado: 2009
Materias:
Classical theories of gravity
Field theories in lower dimensions
Space-time symmetries
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2009_n5_p_AyonBeato
http://hdl.handle.net/20.500.12110/paper_11266708_v2009_n5_p_AyonBeato
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_11266708_v2009_n5_p_AyonBeato2023-06-08T16:08:09Z Bending AdS waves with new massive gravity Giribet, Gastón Enrique Classical theories of gravity Field theories in lower dimensions Space-time symmetries We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and shown to exhibit different branches, with different asymptotic behaviors. In particular, for the special fine tuning m 2 = 1/(2l 2), solutions with logarithmic fall-off arise, while in the range -1/(2l 2)$">m 2 > -1/(2l 2), spacetimes with Schrödinger isometry group are admitted as solutions. Spacetimes that are asymptotically AdS 3, both for the Brown-Henneaux and for the weakened boundary conditions, are also identified. The metric function that characterizes the profile of the AdS-wave behaves as a massive excitation on the spacetime, with an effective mass given by m eff 2 = m 2-1/(2l 2). For the critical value m 2 = -1/(2l 2), the value of the effective mass precisely saturates the Breitenlohner-Freedman bound for the AdS 3 space where the wave is propagating on. The analogies with the AdS-wave solutions of topologically massive gravity are also discussed. Besides, we consider the coupling of both massive deformations to Einstein gravity and find the exact configurations for the complete theory, discussing all the different branches exhaustively. One of the effects of introducing the Chern-Simons gravitational term is that of breaking the degeneracy in the effective mass of the generic modes of pure New Massive Gravity, producing a fine structure due to parity violation. Another effect is that the zoo of exact logarithmic specimens becomes considerably enlarged. © 2009 SISSA. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2009_n5_p_AyonBeato http://hdl.handle.net/20.500.12110/paper_11266708_v2009_n5_p_AyonBeato
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Classical theories of gravity
Field theories in lower dimensions
Space-time symmetries
spellingShingle Classical theories of gravity
Field theories in lower dimensions
Space-time symmetries
Giribet, Gastón Enrique
Bending AdS waves with new massive gravity
topic_facet Classical theories of gravity
Field theories in lower dimensions
Space-time symmetries
description We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and shown to exhibit different branches, with different asymptotic behaviors. In particular, for the special fine tuning m 2 = 1/(2l 2), solutions with logarithmic fall-off arise, while in the range -1/(2l 2)$">m 2 > -1/(2l 2), spacetimes with Schrödinger isometry group are admitted as solutions. Spacetimes that are asymptotically AdS 3, both for the Brown-Henneaux and for the weakened boundary conditions, are also identified. The metric function that characterizes the profile of the AdS-wave behaves as a massive excitation on the spacetime, with an effective mass given by m eff 2 = m 2-1/(2l 2). For the critical value m 2 = -1/(2l 2), the value of the effective mass precisely saturates the Breitenlohner-Freedman bound for the AdS 3 space where the wave is propagating on. The analogies with the AdS-wave solutions of topologically massive gravity are also discussed. Besides, we consider the coupling of both massive deformations to Einstein gravity and find the exact configurations for the complete theory, discussing all the different branches exhaustively. One of the effects of introducing the Chern-Simons gravitational term is that of breaking the degeneracy in the effective mass of the generic modes of pure New Massive Gravity, producing a fine structure due to parity violation. Another effect is that the zoo of exact logarithmic specimens becomes considerably enlarged. © 2009 SISSA.
author Giribet, Gastón Enrique
author_facet Giribet, Gastón Enrique
author_sort Giribet, Gastón Enrique
title Bending AdS waves with new massive gravity
title_short Bending AdS waves with new massive gravity
title_full Bending AdS waves with new massive gravity
title_fullStr Bending AdS waves with new massive gravity
title_full_unstemmed Bending AdS waves with new massive gravity
title_sort bending ads waves with new massive gravity
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2009_n5_p_AyonBeato
http://hdl.handle.net/20.500.12110/paper_11266708_v2009_n5_p_AyonBeato
work_keys_str_mv AT giribetgastonenrique bendingadswaveswithnewmassivegravity
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