Abstract

In this paper, we have investigated a tilted Bianchi Type I cosmological model filled with dust of perfect fluid in general relativity because tilted dust models are quite homogeneous and expanding. To get a determinate solution, we have assumed a linear relation between shear and expansion, that is, = constant ( is shear tensor and is expansion of the model), which leads to A = (BC)ⁿ, where A and B are metric potentials and n is constant. Also, we have assumed that fluid is pressure less, that is, p=0. The physical and geometrical aspects of the model together with singularities in the model are also discussed.

Key words: Tilted, dust perfect fluid, Bianchi Type I universe.