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

#### LRS Bianchi Type-I Cosmological Models with Perfect Fluid

G. Mohanty

go back^{1}, B. Mishra^{2}^{1}*School of Mathematical Sciences, Sambalpur University, Jyoti Vihar, Sambalpur-768019, Orissa, India*^{2}*Icfai 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 potentialBis assumed as separable function ofxandtasB=f(x)g(t). Subsequently the space-time metric with a suitablex-coordinate transformation turns out to bewhere

ds=^{2}dt-^{2}g[^{2}(t)dX+^{2}e^{(2X/k)}(dY+^{2}dZ)]^{2}kis a non-zero arbitrary constant. Three particular cases pertaining to the equations of statep= 0 andρ= 0,p=ρ/3> 0 andp+ρ= 0 are considered and exact cosmological solutions are obtained. Some physical properties of the models are discussed.