Form invariance symmetry generates a large set of FRW cosmologies

We show that Einstein's field equations for spatially flat Friedmann-Robertson-Walker (FRW) spacetimes have a form invariance symmetry (FIS) realized by the form invariance transformations (FIT) which are indeed generated by an invertible function of the source energy density. These transformat...

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Autores principales: Chimento, Luis Pascual, Richarte, Martín Gustavo
Publicado: 2013
Materias:
duality
Form invariance symmetry
scalar field
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n4_p_Chimento
http://hdl.handle.net/20.500.12110/paper_02177323_v28_n4_p_Chimento
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02177323_v28_n4_p_Chimento
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spelling paper:paper_02177323_v28_n4_p_Chimento2023-06-08T15:21:04Z Form invariance symmetry generates a large set of FRW cosmologies Chimento, Luis Pascual Richarte, Martín Gustavo duality Form invariance symmetry scalar field We show that Einstein's field equations for spatially flat Friedmann-Robertson-Walker (FRW) spacetimes have a form invariance symmetry (FIS) realized by the form invariance transformations (FIT) which are indeed generated by an invertible function of the source energy density. These transformations act on the Hubble expansion rate, the energy density and pressure of the cosmic fluid; likewise such transformations are endowed with a Lie group structure. Each representation of this group is associated with a particular fluid and consequently a determined cosmology, so that, the FIS defines a set of equivalent cosmological models. We focus our seek in the FIT generated by a linear function because it provides a natural framework to express the duality and also produces large sets of cosmologies, starting from a seed one, in several contexts as for instance in the cases of a perfect fluid source and a scalar field driven by a potential depending linearly on the scalar field kinetic energy density. © 2013 World Scientific Publishing Company. Fil:Chimento, L.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Richarte, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n4_p_Chimento http://hdl.handle.net/20.500.12110/paper_02177323_v28_n4_p_Chimento
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic duality
Form invariance symmetry
scalar field
spellingShingle duality
Form invariance symmetry
scalar field
Chimento, Luis Pascual
Richarte, Martín Gustavo
Form invariance symmetry generates a large set of FRW cosmologies
topic_facet duality
Form invariance symmetry
scalar field
description We show that Einstein's field equations for spatially flat Friedmann-Robertson-Walker (FRW) spacetimes have a form invariance symmetry (FIS) realized by the form invariance transformations (FIT) which are indeed generated by an invertible function of the source energy density. These transformations act on the Hubble expansion rate, the energy density and pressure of the cosmic fluid; likewise such transformations are endowed with a Lie group structure. Each representation of this group is associated with a particular fluid and consequently a determined cosmology, so that, the FIS defines a set of equivalent cosmological models. We focus our seek in the FIT generated by a linear function because it provides a natural framework to express the duality and also produces large sets of cosmologies, starting from a seed one, in several contexts as for instance in the cases of a perfect fluid source and a scalar field driven by a potential depending linearly on the scalar field kinetic energy density. © 2013 World Scientific Publishing Company.
author Chimento, Luis Pascual
Richarte, Martín Gustavo
author_facet Chimento, Luis Pascual
Richarte, Martín Gustavo
author_sort Chimento, Luis Pascual
title Form invariance symmetry generates a large set of FRW cosmologies
title_short Form invariance symmetry generates a large set of FRW cosmologies
title_full Form invariance symmetry generates a large set of FRW cosmologies
title_fullStr Form invariance symmetry generates a large set of FRW cosmologies
title_full_unstemmed Form invariance symmetry generates a large set of FRW cosmologies
title_sort form invariance symmetry generates a large set of frw cosmologies
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n4_p_Chimento
http://hdl.handle.net/20.500.12110/paper_02177323_v28_n4_p_Chimento
work_keys_str_mv AT chimentoluispascual forminvariancesymmetrygeneratesalargesetoffrwcosmologies
AT richartemartingustavo forminvariancesymmetrygeneratesalargesetoffrwcosmologies
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