IJPAM: Volume 99, No. 1 (2015)

DARK ENERGY COSMOLOGICAL MODEL FOR
BIANCHI TYPE $III$ SPACE-TIME WITH PERFECT FLUID

B. Mishra$^1$, P.K. Sahoo$^2$, Ch.B. Siddarth Varma$^3$
$^{1,2,3}$Department of Mathematics
Birla Institute of Technology and Science-Pilani
Hyderabad Campus
Hyderabad, 500078, INDIA


Abstract. In this paper, the problem of diagonal Bianchi type $III$ space-time is investigated in scale invariant theory with dark energy. The matter field is considered in the form of perfect fluid. The field equations for scale invariant theory has been solved by applying a variation law for generalized Hubble's parameter (Nuovo Cimento B 74:182, 1983). The gauge function depends on time coordinate only (Dirac gauge). The cosmological model is constructed, its physical and kinematical properties are discussed.

Received: November 7, 2014

AMS Subject Classification: 83F05

Key Words and Phrases: space-time, scale invariant, Dirac gauge, dark energy, Hubble parameter

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DOI: 10.12732/ijpam.v99i1.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 1
Pages: 109 - 121


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