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Abstract:

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.

Registro:

Documento: Artículo
Título:Form invariance symmetry generates a large set of FRW cosmologies
Autor:Chimento, L.P.; Richarte, M.G.; Sánchez, I.E.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, 1428 Buenos Aires, Argentina
Palabras clave:duality; Form invariance symmetry; scalar field
Año:2013
Volumen:28
Número:4
DOI: http://dx.doi.org/10.1142/S0217732312502367
Título revista:Modern Physics Letters A
Título revista abreviado:Mod. Phys. Lett. A
ISSN:02177323
CODEN:MPLAE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n4_p_Chimento

Referencias:

  • Gieres, F., (1998) Symmetries in Physics, , eds. F. Gieres M. Kibler C. Lucchesi and O. Piguet Editions Frontieres
  • Green, M.B., Schwartz, J.H., Witten, E., (1987) Superstring Theory, , Cambridge Univ. Press
  • Polchinski, J., (1998) String Theory I-II, , Cambridge Univ. Press
  • Veneziano, G., (1991) Phys. Lett. B, 265, p. 287
  • Tseytlin, A.A., (1991) Mod. Phys. Lett. A, 6, p. 1721
  • Chimento, L.P., (2002) Phys. Rev. D, 65, p. 063517
  • Chimento, L.P., (2004) Phys. Lett. B, 633, p. 9
  • Chimento, L.P., Lazkoz, R., (2003) Phys. Rev. Lett, 91, p. 211301
  • Nojiri, S., Odintsov, S.D., Tsujikawa, S., (2005) Phys. Rev. D, 71, p. 063004
  • Nojiri, S., Odintsov, S.D., (2005) Phys. Rev. D, 72, p. 023003
  • Andrianov, A.A., Cannata, F., Kamenshchik, A.Y., (2005) Phys. Rev. D, 72, p. 043531
  • S. Capozziello, E. Piedipalumbo, C. Rubano and P. Scudellaro, arXiv:0908.2362v2; Calcagni, G., (2005) Phys. Rev. D, 71, p. 023511
  • Astashenok, A.V., Nojiri, S., Odintsov, S.D., Yurov, A.V., ArXiv: 1201.4056
  • Dabrowski, M.P., Stachowiak, T., Szydlowski, M., (2003) Phys. Rev. D, 68, p. 103519
  • Gasperini, M., Veneziano, G., (2003) Phys. Rep, 373, p. 1
  • Aguirregabiria, J.M., Chimento, L.P., Lazkoz, R., (2004) Phys. Rev. D, 70, p. 023509
  • Chimento, L.P., Lazkoz, R., (2005) Int. J Mod Phys D, 14, p. 587
  • Cai, Y.-F., Li, H., Piao, Y.-S., Zhang, X., (2007) Phys. Lett. B, 646, p. 141
  • Chimento, L.P., Forte, M., Lazkoz, R., Richarte, M.G., (2009) Phys. Rev. D, 79, p. 043502
  • Faraoni, V., (2011) Phys. Lett. B, 703, p. 228
  • Cataldo, M., Chimento, L.P., (2008) Int. J. Mod. Phys D, 17, p. 1981
  • Chimento, L.P., Pav'On, D., (2006) Phys. Rev. D, 73, p. 063511
  • Aguirregabiria, J.M., Chimento, L.P., Jakubi, A.S., Lazkoz, R., (2003) Phys. Rev. D, 67, p. 083518
  • Chimento, L.P., Lazkoz, R., Richarte, M.G., (2011) Phys. Rev. D, 83, p. 063505
  • Lazkoz, R., (2004) Phys. Rev. D, 70, p. 064033
  • Parsons, P., Barrow, J.D., (1995) Class. Quantum Grav, 12, p. 1715
  • Charters, T., Mimoso, J.P., (2010) J. Cosmol. Astropart. Phys, 1008 (22)
  • Chimento, L.P., (2004) Phys. Rev. D, 69, p. 123517
  • Chimento, L.P., Devecchi, F.P., Forte, M., Kremer, G.M., (2008) Class. Quantum Grav, 25, p. 085007
  • Chimento, L.P., Lazkoz, R., (2008) Gen. Relat. Gravit, 40, p. 2543
  • Chimento, L.P., Zimdahl, W., (2008) Int. J Mod Phys D, 17, p. 2229
  • Pucheu, M.L., Bellini, M., (2010) Nuovo Cimento B, 125, p. 851
  • Stephani, H., MacCallum, M.A.H., (1990) Differential Equations: Their Solutions Using Symmetry, p. 273. , Cambridge Univ. Press
  • Chimento, L.P., (1997) J. Math. Phys, 38, p. 2565
  • Biswas, T., Gerwick, E., Koivisto, T., Mazumdar, A., (2012) Phys. Rev. Lett, 108, p. 031101

Citas:

---------- APA ----------
Chimento, L.P., Richarte, M.G. & Sánchez, I.E. (2013) . Form invariance symmetry generates a large set of FRW cosmologies. Modern Physics Letters A, 28(4).
http://dx.doi.org/10.1142/S0217732312502367
---------- CHICAGO ----------
Chimento, L.P., Richarte, M.G., Sánchez, I.E. "Form invariance symmetry generates a large set of FRW cosmologies" . Modern Physics Letters A 28, no. 4 (2013).
http://dx.doi.org/10.1142/S0217732312502367
---------- MLA ----------
Chimento, L.P., Richarte, M.G., Sánchez, I.E. "Form invariance symmetry generates a large set of FRW cosmologies" . Modern Physics Letters A, vol. 28, no. 4, 2013.
http://dx.doi.org/10.1142/S0217732312502367
---------- VANCOUVER ----------
Chimento, L.P., Richarte, M.G., Sánchez, I.E. Form invariance symmetry generates a large set of FRW cosmologies. Mod. Phys. Lett. A. 2013;28(4).
http://dx.doi.org/10.1142/S0217732312502367