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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Autor principal: Chimento, L.P
Otros Autores: Richarte, M.G, Sánchez, I.E
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2013
Acceso en línea:Registro en Scopus
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100 1 |a Chimento, L.P. 
245 1 0 |a Form invariance symmetry generates a large set of FRW cosmologies 
260 |c 2013 
270 1 0 |m Chimento, L.P.; Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina; email: chimento@df.uba.ar 
506 |2 openaire  |e Política editorial 
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520 3 |a 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.  |l eng 
536 |a Detalles de la financiación: Universidad de Buenos Aires, 20020100100147 
536 |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas, PIP 114-200801-00328 
536 |a Detalles de la financiación: We are grateful with the referee for useful comments that helped improve the article. L.P.C. thanks the University of Buenos Aires under Project No. 20020100100147 and the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) under Project PIP 114-200801-00328. M.G.R. and I.S.G. are partially supported by CONICET. 
593 |a Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina 
690 1 0 |a DUALITY 
690 1 0 |a FORM INVARIANCE SYMMETRY 
690 1 0 |a SCALAR FIELD 
700 1 |a Richarte, M.G. 
700 1 |a Sánchez, I.E. 
773 0 |d 2013  |g v. 28  |k n. 4  |p Mod. Phys. Lett. A  |x 02177323  |w (AR-BaUEN)CENRE-599  |t Modern Physics Letters A 
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