Bulg. J. Phys. vol.28 no.3-4 (2001), pp. 185-192


LRS Bianchi Type-I Cosmological Models with Perfect Fluid

G. Mohanty1, B. Mishra2
1School of Mathematical Sciences, Sambalpur University, Jyoti Vihar, Sambalpur-768019, Orissa, India
2Icfai Institute of Science and Technology, Bhubaneswar-751023, Orissa, India
Abstract. LRS Bianchi-I space-lime filled with perfect fluid is considered. It is shown that the field equations together with the conservation equations are solvable when the metric potential B is assumed as separable function of x and t as B = f(x)g(t). Subsequently the space-time metric with a suitable x-coordinate transformation turns out to be

ds2 = dt2 - g2(t)[dX2 + e(2X/k)(dY2 + dZ2)]

where k is a non-zero arbitrary constant. Three particular cases pertaining to the equations of state p = 0 and ρ = 0, p = ρ/3 > 0 and p + ρ = 0 are considered and exact cosmological solutions are obtained. Some physical properties of the models are discussed.

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