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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02177323_v28_n4_p_Chimento |
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todo:paper_02177323_v28_n4_p_Chimento2023-10-03T15:10:26Z Form invariance symmetry generates a large set of FRW cosmologies Chimento, L.P. Richarte, M.G. Sánchez, I.E. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02177323_v28_n4_p_Chimento |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
duality Form invariance symmetry scalar field |
| spellingShingle |
duality Form invariance symmetry scalar field Chimento, L.P. Richarte, M.G. Sánchez, I.E. 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. |
| format |
JOUR |
| author |
Chimento, L.P. Richarte, M.G. Sánchez, I.E. |
| author_facet |
Chimento, L.P. Richarte, M.G. Sánchez, I.E. |
| author_sort |
Chimento, L.P. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_02177323_v28_n4_p_Chimento |
| work_keys_str_mv |
AT chimentolp forminvariancesymmetrygeneratesalargesetoffrwcosmologies AT richartemg forminvariancesymmetrygeneratesalargesetoffrwcosmologies AT sanchezie forminvariancesymmetrygeneratesalargesetoffrwcosmologies |
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1782029637706055680 |