Expressions for optical scalars and deflection angle at second order in terms of curvature scalars

Autores
Crisnejo, Gabriel Sebastian; Gallo, Emanuel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present formal expressions for the optical scalars in terms of the curvature scalars in the weak gravitational lensing regime at second order in perturbations of a flat background without mentioning the extension of the lens or their shape. Also, by considering the thin lens approximation for static and axially symmetric configurations we obtain an expression for the second-order deflection angle which generalizes our previous result presented by Gallo and Moreschi [Phys. Rev. D 83, 083007 (2011).PRVDAQ1550-799810.1103/PhysRevD.83.083007]. As applications of these formulas we compute the optical scalars for some known family of metrics, and we recover expressions for the deflection angle. In contrast to other works in the subject, our formalism allows a straightforward identification of how the different components of the curvature tensor contribute to the optical scalars and deflection angle. We also discuss in what sense the Schwarzschild solution can be thought as a true thin lens at second order.
Fil: Crisnejo, Gabriel Sebastian. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Gallo, Emanuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Materia
RELATIVIDAD GENERAL
LENTES GRAVITACIONALES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/91580
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Expressions for optical scalars and deflection angle at second order in terms of curvature scalarsCrisnejo, Gabriel SebastianGallo, EmanuelRELATIVIDAD GENERALLENTES GRAVITACIONALEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present formal expressions for the optical scalars in terms of the curvature scalars in the weak gravitational lensing regime at second order in perturbations of a flat background without mentioning the extension of the lens or their shape. Also, by considering the thin lens approximation for static and axially symmetric configurations we obtain an expression for the second-order deflection angle which generalizes our previous result presented by Gallo and Moreschi [Phys. Rev. D 83, 083007 (2011).PRVDAQ1550-799810.1103/PhysRevD.83.083007]. As applications of these formulas we compute the optical scalars for some known family of metrics, and we recover expressions for the deflection angle. In contrast to other works in the subject, our formalism allows a straightforward identification of how the different components of the curvature tensor contribute to the optical scalars and deflection angle. We also discuss in what sense the Schwarzschild solution can be thought as a true thin lens at second order.Fil: Crisnejo, Gabriel Sebastian. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Gallo, Emanuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaAmerican Physical Society2018-04-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/91580Crisnejo, Gabriel Sebastian; Gallo, Emanuel; Expressions for optical scalars and deflection angle at second order in terms of curvature scalars; American Physical Society; Physical Review D; 97; 8; 9-4-2018; 0840102470-00102470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084010info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.97.084010info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1712.03813info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:20Zoai:ri.conicet.gov.ar:11336/91580instacron: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 10:09:20.86CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
title Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
spellingShingle Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
Crisnejo, Gabriel Sebastian
RELATIVIDAD GENERAL
LENTES GRAVITACIONALES
title_short Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
title_full Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
title_fullStr Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
title_full_unstemmed Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
title_sort Expressions for optical scalars and deflection angle at second order in terms of curvature scalars
dc.creator.none.fl_str_mv Crisnejo, Gabriel Sebastian
Gallo, Emanuel
author Crisnejo, Gabriel Sebastian
author_facet Crisnejo, Gabriel Sebastian
Gallo, Emanuel
author_role author
author2 Gallo, Emanuel
author2_role author
dc.subject.none.fl_str_mv RELATIVIDAD GENERAL
LENTES GRAVITACIONALES
topic RELATIVIDAD GENERAL
LENTES GRAVITACIONALES
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 present formal expressions for the optical scalars in terms of the curvature scalars in the weak gravitational lensing regime at second order in perturbations of a flat background without mentioning the extension of the lens or their shape. Also, by considering the thin lens approximation for static and axially symmetric configurations we obtain an expression for the second-order deflection angle which generalizes our previous result presented by Gallo and Moreschi [Phys. Rev. D 83, 083007 (2011).PRVDAQ1550-799810.1103/PhysRevD.83.083007]. As applications of these formulas we compute the optical scalars for some known family of metrics, and we recover expressions for the deflection angle. In contrast to other works in the subject, our formalism allows a straightforward identification of how the different components of the curvature tensor contribute to the optical scalars and deflection angle. We also discuss in what sense the Schwarzschild solution can be thought as a true thin lens at second order.
Fil: Crisnejo, Gabriel Sebastian. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Gallo, Emanuel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
description We present formal expressions for the optical scalars in terms of the curvature scalars in the weak gravitational lensing regime at second order in perturbations of a flat background without mentioning the extension of the lens or their shape. Also, by considering the thin lens approximation for static and axially symmetric configurations we obtain an expression for the second-order deflection angle which generalizes our previous result presented by Gallo and Moreschi [Phys. Rev. D 83, 083007 (2011).PRVDAQ1550-799810.1103/PhysRevD.83.083007]. As applications of these formulas we compute the optical scalars for some known family of metrics, and we recover expressions for the deflection angle. In contrast to other works in the subject, our formalism allows a straightforward identification of how the different components of the curvature tensor contribute to the optical scalars and deflection angle. We also discuss in what sense the Schwarzschild solution can be thought as a true thin lens at second order.
publishDate 2018
dc.date.none.fl_str_mv 2018-04-09
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/11336/91580
Crisnejo, Gabriel Sebastian; Gallo, Emanuel; Expressions for optical scalars and deflection angle at second order in terms of curvature scalars; American Physical Society; Physical Review D; 97; 8; 9-4-2018; 084010
2470-0010
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/91580
identifier_str_mv Crisnejo, Gabriel Sebastian; Gallo, Emanuel; Expressions for optical scalars and deflection angle at second order in terms of curvature scalars; American Physical Society; Physical Review D; 97; 8; 9-4-2018; 084010
2470-0010
2470-0029
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://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084010
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.97.084010
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1712.03813
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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 13.13397

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