About the Cauchy problem in Stelle's quadratic gravity

Autores
Osorio Morales, Maria Juliana; Santillán, Osvaldo Pablo
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The focus of the present work is on the Cauchy problem for the quadratic gravity models introduced in \cite{stelle,stelle2}. These are renormalizable higher order derivative models of gravity, but at cost of ghostly states propagating in the phase space. A previous work on the subject is [1]. The techniques employed here differ slightly from those in [2], but the main conclusions agree. Furthermore, the analysis of the initial value formulation in [3] is enlarged and the use of harmonic coordinates is clarified. In particular, it is shown that the initial constraints found [4] include a redundant one. In other words, this constraint is satisfied when the equations of motion are taken into account. In addition, some terms that are not specified in [5] are derived explicitly. This procedure facilitates application of some of the mathematical theorems given in [6]. As a consequence of these theorems, the existence of both C∞ solutions and maximal globally hyperbolic developments is proved. The obtained equations may be relevant for the stability analysis of the solutions under small perturbations of the initial data.
Fil: Osorio Morales, Maria Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
INITIAL CONDITIONS AND ETERNAL UNIVERSE
MODIFIED GRAVITY
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:11336/117677
Acceder
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spelling About the Cauchy problem in Stelle's quadratic gravityOsorio Morales, Maria JulianaSantillán, Osvaldo PabloINITIAL CONDITIONS AND ETERNAL UNIVERSEMODIFIED GRAVITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The focus of the present work is on the Cauchy problem for the quadratic gravity models introduced in \cite{stelle,stelle2}. These are renormalizable higher order derivative models of gravity, but at cost of ghostly states propagating in the phase space. A previous work on the subject is [1]. The techniques employed here differ slightly from those in [2], but the main conclusions agree. Furthermore, the analysis of the initial value formulation in [3] is enlarged and the use of harmonic coordinates is clarified. In particular, it is shown that the initial constraints found [4] include a redundant one. In other words, this constraint is satisfied when the equations of motion are taken into account. In addition, some terms that are not specified in [5] are derived explicitly. This procedure facilitates application of some of the mathematical theorems given in [6]. As a consequence of these theorems, the existence of both C∞ solutions and maximal globally hyperbolic developments is proved. The obtained equations may be relevant for the stability analysis of the solutions under small perturbations of the initial data.Fil: Osorio Morales, Maria Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaIOP Publishing2019-03info: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/11336/117677Osorio Morales, Maria Juliana; Santillán, Osvaldo Pablo; About the Cauchy problem in Stelle's quadratic gravity; IOP Publishing; Journal of Cosmology and Astroparticle Physics; 2019; 3; 3-2019; 1-341475-7516CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1475-7516/2019/03/026info:eu-repo/semantics/altIdentifier/doi/10.1088/1475-7516/2019/03/026info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1811.07869info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:01:46Zoai:ri.conicet.gov.ar:11336/117677instacron: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:34982025-10-29 12:01:46.727CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv About the Cauchy problem in Stelle's quadratic gravity
title About the Cauchy problem in Stelle's quadratic gravity
spellingShingle About the Cauchy problem in Stelle's quadratic gravity
Osorio Morales, Maria Juliana
INITIAL CONDITIONS AND ETERNAL UNIVERSE
MODIFIED GRAVITY
title_short About the Cauchy problem in Stelle's quadratic gravity
title_full About the Cauchy problem in Stelle's quadratic gravity
title_fullStr About the Cauchy problem in Stelle's quadratic gravity
title_full_unstemmed About the Cauchy problem in Stelle's quadratic gravity
title_sort About the Cauchy problem in Stelle's quadratic gravity
dc.creator.none.fl_str_mv Osorio Morales, Maria Juliana
Santillán, Osvaldo Pablo
author Osorio Morales, Maria Juliana
author_facet Osorio Morales, Maria Juliana
Santillán, Osvaldo Pablo
author_role author
author2 Santillán, Osvaldo Pablo
author2_role author
dc.subject.none.fl_str_mv INITIAL CONDITIONS AND ETERNAL UNIVERSE
MODIFIED GRAVITY
topic INITIAL CONDITIONS AND ETERNAL UNIVERSE
MODIFIED GRAVITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The focus of the present work is on the Cauchy problem for the quadratic gravity models introduced in \cite{stelle,stelle2}. These are renormalizable higher order derivative models of gravity, but at cost of ghostly states propagating in the phase space. A previous work on the subject is [1]. The techniques employed here differ slightly from those in [2], but the main conclusions agree. Furthermore, the analysis of the initial value formulation in [3] is enlarged and the use of harmonic coordinates is clarified. In particular, it is shown that the initial constraints found [4] include a redundant one. In other words, this constraint is satisfied when the equations of motion are taken into account. In addition, some terms that are not specified in [5] are derived explicitly. This procedure facilitates application of some of the mathematical theorems given in [6]. As a consequence of these theorems, the existence of both C∞ solutions and maximal globally hyperbolic developments is proved. The obtained equations may be relevant for the stability analysis of the solutions under small perturbations of the initial data.
Fil: Osorio Morales, Maria Juliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Santillán, Osvaldo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description The focus of the present work is on the Cauchy problem for the quadratic gravity models introduced in \cite{stelle,stelle2}. These are renormalizable higher order derivative models of gravity, but at cost of ghostly states propagating in the phase space. A previous work on the subject is [1]. The techniques employed here differ slightly from those in [2], but the main conclusions agree. Furthermore, the analysis of the initial value formulation in [3] is enlarged and the use of harmonic coordinates is clarified. In particular, it is shown that the initial constraints found [4] include a redundant one. In other words, this constraint is satisfied when the equations of motion are taken into account. In addition, some terms that are not specified in [5] are derived explicitly. This procedure facilitates application of some of the mathematical theorems given in [6]. As a consequence of these theorems, the existence of both C∞ solutions and maximal globally hyperbolic developments is proved. The obtained equations may be relevant for the stability analysis of the solutions under small perturbations of the initial data.
publishDate 2019
dc.date.none.fl_str_mv 2019-03
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/11336/117677
Osorio Morales, Maria Juliana; Santillán, Osvaldo Pablo; About the Cauchy problem in Stelle's quadratic gravity; IOP Publishing; Journal of Cosmology and Astroparticle Physics; 2019; 3; 3-2019; 1-34
1475-7516
CONICET Digital
CONICET
url http://hdl.handle.net/11336/117677
identifier_str_mv Osorio Morales, Maria Juliana; Santillán, Osvaldo Pablo; About the Cauchy problem in Stelle's quadratic gravity; IOP Publishing; Journal of Cosmology and Astroparticle Physics; 2019; 3; 3-2019; 1-34
1475-7516
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/10.1088/1475-7516/2019/03/026
info:eu-repo/semantics/altIdentifier/doi/10.1088/1475-7516/2019/03/026
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1811.07869
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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score 13.10058

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