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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2009
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11266708_v2009_n5_p_AyonBeato https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_11266708_v2009_n5_p_AyonBeato_oai |
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I28-R145-paper_11266708_v2009_n5_p_AyonBeato_oai2024-08-16 Ayón-Beato, E. Giribet, G. Hassane, M. 2009 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. application/pdf http://hdl.handle.net/20.500.12110/paper_11266708_v2009_n5_p_AyonBeato info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. High Energy Phys. 2009;2009(5) Classical theories of gravity Field theories in lower dimensions Space-time symmetries Bending AdS waves with new massive gravity info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_11266708_v2009_n5_p_AyonBeato_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (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 Ayón-Beato, E. Giribet, G. Hassane, M. 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. |
| format |
Artículo Artículo publishedVersion |
| author |
Ayón-Beato, E. Giribet, G. Hassane, M. |
| author_facet |
Ayón-Beato, E. Giribet, G. Hassane, M. |
| author_sort |
Ayón-Beato, E. |
| 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 |
http://hdl.handle.net/20.500.12110/paper_11266708_v2009_n5_p_AyonBeato https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_11266708_v2009_n5_p_AyonBeato_oai |
| work_keys_str_mv |
AT ayonbeatoe bendingadswaveswithnewmassivegravity AT giribetg bendingadswaveswithnewmassivegravity AT hassanem bendingadswaveswithnewmassivegravity |
| _version_ |
1809357114443825152 |