Bending AdS waves with new massive gravity

Autores
Ayón Beato, Eloy; Giribet, Gaston Enrique; Hassaïne, Mokhtar
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Ayón Beato, Eloy. CENTRO DE INVESTIGACIÓN Y DE ESTUDIOS AVANZADOS ; INSTITUTO POLITÉCNICO NACIONAL;
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Hassaïne, Mokhtar. Universidad de Talca; Chile
Materia
Classical Theories of Gravity
Field Theories in Lower Dimensions
Space-Time Symmetries
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/60910

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spelling Bending AdS waves with new massive gravityAyón Beato, EloyGiribet, Gaston EnriqueHassaïne, MokhtarClassical Theories of GravityField Theories in Lower DimensionsSpace-Time Symmetrieshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.Fil: Ayón Beato, Eloy. CENTRO DE INVESTIGACIÓN Y DE ESTUDIOS AVANZADOS ; INSTITUTO POLITÉCNICO NACIONAL;Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Hassaïne, Mokhtar. Universidad de Talca; ChileIOP Publishing2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60910Ayón Beato, Eloy; Giribet, Gaston Enrique; Hassaïne, Mokhtar; Bending AdS waves with new massive gravity; IOP Publishing; Journal of High Energy Physics; 2009; 5; 12-2009; 29-381126-67081029-8479CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1126-6708/2009/05/029info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2009/05/029info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:09Zoai:ri.conicet.gov.ar:11336/60910instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:45:10.382CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bending AdS waves with new massive gravity
title Bending AdS waves with new massive gravity
spellingShingle Bending AdS waves with new massive gravity
Ayón Beato, Eloy
Classical Theories of Gravity
Field Theories in Lower Dimensions
Space-Time Symmetries
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
dc.creator.none.fl_str_mv Ayón Beato, Eloy
Giribet, Gaston Enrique
Hassaïne, Mokhtar
author Ayón Beato, Eloy
author_facet Ayón Beato, Eloy
Giribet, Gaston Enrique
Hassaïne, Mokhtar
author_role author
author2 Giribet, Gaston Enrique
Hassaïne, Mokhtar
author2_role author
author
dc.subject.none.fl_str_mv Classical Theories of Gravity
Field Theories in Lower Dimensions
Space-Time Symmetries
topic Classical Theories of Gravity
Field Theories in Lower Dimensions
Space-Time Symmetries
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Ayón Beato, Eloy. CENTRO DE INVESTIGACIÓN Y DE ESTUDIOS AVANZADOS ; INSTITUTO POLITÉCNICO NACIONAL;
Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Hassaïne, Mokhtar. Universidad de Talca; Chile
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.
publishDate 2009
dc.date.none.fl_str_mv 2009-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/60910
Ayón Beato, Eloy; Giribet, Gaston Enrique; Hassaïne, Mokhtar; Bending AdS waves with new massive gravity; IOP Publishing; Journal of High Energy Physics; 2009; 5; 12-2009; 29-38
1126-6708
1029-8479
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60910
identifier_str_mv Ayón Beato, Eloy; Giribet, Gaston Enrique; Hassaïne, Mokhtar; Bending AdS waves with new massive gravity; IOP Publishing; Journal of High Energy Physics; 2009; 5; 12-2009; 29-38
1126-6708
1029-8479
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1126-6708/2009/05/029
info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2009/05/029
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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