An exact Jacobi map in the geodesic light-cone gauge

The remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodetic-deviation equation, and thus to derive an exact expression for the Jacobi map J^A_B(s,o) connecting a generic source s to a geodesic observer o in a generic space time. In this g...

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Autores principales: Fanizza, G., Gasperini, M., Marozzi, G., Veneziano, G.
Lenguaje:eng
Publicado: 2013
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2013/11/019
http://cds.cern.ch/record/1594857
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author Fanizza, G.
Gasperini, M.
Marozzi, G.
Veneziano, G.
author_facet Fanizza, G.
Gasperini, M.
Marozzi, G.
Veneziano, G.
author_sort Fanizza, G.
collection CERN
description The remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodetic-deviation equation, and thus to derive an exact expression for the Jacobi map J^A_B(s,o) connecting a generic source s to a geodesic observer o in a generic space time. In this gauge J^A_B factorizes into the product of a local quantity at s times one at o, implying similarly factorized expressions for the area and luminosity distance. In any other coordinate system J^A_B is simply given by expressing the GLC quantities in terms of the corresponding ones in the new coordinates. This is explicitly done, at first and second order, respectively, for the synchronous and Poisson gauge-fixing of a perturbed, spatially-flat cosmological background, and the consistency of the two outcomes is checked. Our results slightly amend previous calculations of the luminosity-redshift relation and suggest a possible non-perturbative way for computing the effects of inhomogeneities on observations based on light-like signals.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-15948572023-10-04T05:58:12Zdoi:10.1088/1475-7516/2013/11/019http://cds.cern.ch/record/1594857engFanizza, G.Gasperini, M.Marozzi, G.Veneziano, G.An exact Jacobi map in the geodesic light-cone gaugeAstrophysics and AstronomyThe remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodetic-deviation equation, and thus to derive an exact expression for the Jacobi map J^A_B(s,o) connecting a generic source s to a geodesic observer o in a generic space time. In this gauge J^A_B factorizes into the product of a local quantity at s times one at o, implying similarly factorized expressions for the area and luminosity distance. In any other coordinate system J^A_B is simply given by expressing the GLC quantities in terms of the corresponding ones in the new coordinates. This is explicitly done, at first and second order, respectively, for the synchronous and Poisson gauge-fixing of a perturbed, spatially-flat cosmological background, and the consistency of the two outcomes is checked. Our results slightly amend previous calculations of the luminosity-redshift relation and suggest a possible non-perturbative way for computing the effects of inhomogeneities on observations based on light-like signals.The remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodesic-deviation equation, and thus to derive an exact expression for the Jacobi map JAB(s,o) connecting a generic source s to a geodesic observer o in a generic space time. In this gauge JAB factorizes into the product of a local quantity at s times one at o, implying similarly factorized expressions for the area and luminosity distance. In any other coordinate system JAB is simply given by expressing the GLC quantities in terms of the corresponding ones in the new coordinates. This is explicitly done, at first and second order, respectively, for the synchronous and Poisson gauge-fixing of a perturbed, spatially-flat cosmological background, and the consistency of the two outcomes is checked.Our results slightly amend previous calculations of the luminosity-redshift relation and suggest a possible non-perturbative way for computing the effects of inhomogeneities on observations based on light-like signals.The remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodetic-deviation equation, and thus to derive an exact expression for the Jacobi map J^A_B(s,o) connecting a generic source s to a geodesic observer o in a generic space time. In this gauge J^A_B factorizes into the product of a local quantity at s times one at o, implying similarly factorized expressions for the area and luminosity distance. In any other coordinate system J^A_B is simply given by expressing the GLC quantities in terms of the corresponding ones in the new coordinates. This is explicitly done, at first and second order, respectively, for the synchronous and Poisson gauge-fixing of a perturbed, spatially-flat cosmological background, and the consistency of the two outcomes is checked. Our results slightly amend previous calculations of the luminosity-redshift relation and suggest a possible non-perturbative way for computing the effects of inhomogeneities on observations based on light-like signals.arXiv:1308.4935CERN-PH-TH-2013-196CERN-PH-TH-2013-196oai:cds.cern.ch:15948572013-08-22
spellingShingle Astrophysics and Astronomy
Fanizza, G.
Gasperini, M.
Marozzi, G.
Veneziano, G.
An exact Jacobi map in the geodesic light-cone gauge
title An exact Jacobi map in the geodesic light-cone gauge
title_full An exact Jacobi map in the geodesic light-cone gauge
title_fullStr An exact Jacobi map in the geodesic light-cone gauge
title_full_unstemmed An exact Jacobi map in the geodesic light-cone gauge
title_short An exact Jacobi map in the geodesic light-cone gauge
title_sort exact jacobi map in the geodesic light-cone gauge
topic Astrophysics and Astronomy
url https://dx.doi.org/10.1088/1475-7516/2013/11/019
http://cds.cern.ch/record/1594857
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