Abstract
A five dimensional Kaluza-Klein dark energy model with variable EoS parameter is investigated in the scale co-variant theory of gravitation proposed by Canuto et al. (in Phys. Rev. 39:429, 1977) in a five dimensional Kaluza-Klein space-time in the presence of perfect fluid source. Using the special law of variation for Hubble’s parameter proposed by Berman (in Nuovo Cimento B 74:183, 1983), we have obtained a determinate solution which represents a dark energy cosmological model in the theory. We have also used the result that the scalar expansion is proportional to shear scalar of the space-time. It is observed that the EoS parameter, skewness parameter in the model turn out to be functions of cosmic time. Some physical and Kinematical properties of the model are also discussed.
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References
Appelquist, T., Chodos, A., Freund, P.G.O.: Modern-Klein Theories. Addison-Wesley, Reading (1987). arXiv:1006.5412 [gr-qc]
Beesham, A.: Class. Quantum Gravity 3, 481 (1986a)
Beesham, A.: Astrophys. Space Sci. 119, 415 (1986b)
Beesham, A.: Class. Quantum Gravity 3, 1027 (1986c)
Bennet, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 19 (2003)
Berman, M.S.: Nuovo Cimento B 74, 182 (1983)
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Canuto, V.M., Goldman, I.: Nature 304, 311 (1983)
Canuto, V.M., Hsieh, S.H., Adams, P.J.: Phys. Rev. 39, 429 (1977)
Capozziello, S., et al.: Phys. Rev. D 73, 043512 (2006)
Chodos, A., Detweller, S.: Phys. Rev. D 21, 2167 (1980)
Collins, B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980)
Farooq, M.U., Jamil, M., Debnath, U.: Astrophys. Space Sci. 334, 243 (2011)
Grøn, O.: Astron. Astrophys. 193, 1 (1988)
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D, Part. Fields 84, 024020 (2011)
Marciano, W.J.: Phys. Rev. Lett. 52, 498 (1984)
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 562, 147 (2003)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Reddy, D.R.K., Naidu, R.L.: Int. J. Theor. Phys. 46, 2788 (2007)
Reddy, D.R.K., Rao, M.V.; Astrophys. Space Sci. 277, 461 (2001)
Reddy, D.R.K., Venkateswarlu, R.: Astrophys. Space Sci. 136, 191 (1987)
Reddy, D.R.K., Venkateswarlu, R.: Astrophys. Space Sci. 289, 1 (2004)
Reddy, D.R.K., Ramana Murthy, C.S.V.V., Venkateswarlu, R.: J. Indian Math. Soc. 69, 179 (2002)
Reddy, D.R.K., Naidu, R.L., Satya, N.B.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-120
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986)
Singh, N.I., Devi, S.R.: Astrophys. Space Sci. 334, 231 (2011)
Singh, I.N., Singh, S.S., Devi, S.R.: Astrophys. Space Sci. 326, 293 (2010)
Wesson, P.S.: Gravity, Particles and Astrophysics. D. Reidel, Dordrecht (1980)
Wesson, P.S.: Astron. Astrophys. 119, 1 (1983)
Will, C.M.: Phys. Rep. 113, 345 (1984)
Witten, E.: Phys. Lett. B 144, 351 (1984)
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Reddy, D.R.K., Santhi Kumar, R. Kaluza-Klein dark energy cosmological model in scale Co-variant Theory of Gravitation. Astrophys Space Sci 349, 485–489 (2014). https://doi.org/10.1007/s10509-013-1656-2
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DOI: https://doi.org/10.1007/s10509-013-1656-2