Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action

[EN] The Horndeski action is the most general one involving a metric and a scalar field that leads to second-order field equations in four dimensions. Being the natural extension of the well-known scalar-tensor theories, its structure and properties are worth analyzing along the experience accumulat...

Descripción completa

Detalles Bibliográficos
Autores: Bettoni, Dario (1983-), Liberati, Stefano
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2013
País:España
Institución:Universidad Rey Juan Carlos
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:buleria.unileon.es:10612/18097
Acceso en línea:https://hdl.handle.net/10612/18097
Access Level:acceso abierto
Palabra clave:Física
Gravitación modificada
Gravitación
Horndeski theory
Scalar-tensor gravity
2101.05 Gravitación
id ES_aa786a8df1d9bf6e2dd4a246f7126fe4
oai_identifier_str oai:buleria.unileon.es:10612/18097
network_acronym_str ES
network_name_str España
repository_id_str
spelling Disformal invariance of second order scalar-tensor theories: Framing the Horndeski actionBettoni, Dario (1983-)Liberati, StefanoFísicaGravitación modificadaGravitaciónHorndeski theoryScalar-tensor gravity2101.05 Gravitación[EN] The Horndeski action is the most general one involving a metric and a scalar field that leads to second-order field equations in four dimensions. Being the natural extension of the well-known scalar-tensor theories, its structure and properties are worth analyzing along the experience accumulated in the latter context. Here, we argue that disformal transformations play, for the Horndeski theory, a similar role to that of conformal transformations for scalar-tensor theories a là Brans–Dicke. We identify the most general transformation preserving second-order field equations and discuss the issue of viable frames for this kind of theory, in particular, the possibility to cast the action in the so-called Einstein frame. Interestingly, we find that only for a subset of the Horndeski Lagrangian such a frame exists. Finally, we investigate the transformation properties of such frames under field redefinitions and frame transformations and their reciprocal relationship.SIAmerican Physical SocietyDidactica de la MatematicaEscuela de Ingenierias Industrial, Informática y Aeroespacial2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttps://hdl.handle.net/10612/18097reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad Rey Juan CarlosInglésinfo:eu-repo/semantics/openAccessoai:buleria.unileon.es:10612/180972026-06-24T12:43:27Z
dc.title.none.fl_str_mv Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
title Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
spellingShingle Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
Bettoni, Dario (1983-)
Física
Gravitación modificada
Gravitación
Horndeski theory
Scalar-tensor gravity
2101.05 Gravitación
title_short Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
title_full Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
title_fullStr Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
title_full_unstemmed Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
title_sort Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
dc.creator.none.fl_str_mv Bettoni, Dario (1983-)
Liberati, Stefano
author Bettoni, Dario (1983-)
author_facet Bettoni, Dario (1983-)
Liberati, Stefano
author_role author
author2 Liberati, Stefano
author2_role author
dc.contributor.none.fl_str_mv Didactica de la Matematica
Escuela de Ingenierias Industrial, Informática y Aeroespacial
dc.subject.none.fl_str_mv Física
Gravitación modificada
Gravitación
Horndeski theory
Scalar-tensor gravity
2101.05 Gravitación
topic Física
Gravitación modificada
Gravitación
Horndeski theory
Scalar-tensor gravity
2101.05 Gravitación
description [EN] The Horndeski action is the most general one involving a metric and a scalar field that leads to second-order field equations in four dimensions. Being the natural extension of the well-known scalar-tensor theories, its structure and properties are worth analyzing along the experience accumulated in the latter context. Here, we argue that disformal transformations play, for the Horndeski theory, a similar role to that of conformal transformations for scalar-tensor theories a là Brans–Dicke. We identify the most general transformation preserving second-order field equations and discuss the issue of viable frames for this kind of theory, in particular, the possibility to cast the action in the so-called Einstein frame. Interestingly, we find that only for a subset of the Horndeski Lagrangian such a frame exists. Finally, we investigate the transformation properties of such frames under field redefinitions and frame transformations and their reciprocal relationship.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/10612/18097
url https://hdl.handle.net/10612/18097
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:BULERIA. Repositorio Institucional de la Universidad de León
instname:Universidad Rey Juan Carlos
instname_str Universidad Rey Juan Carlos
reponame_str BULERIA. Repositorio Institucional de la Universidad de León
collection BULERIA. Repositorio Institucional de la Universidad de León
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416184620777472
score 15,301603

Similares en LA Referencia