Regular Article - Theoretical Physics
Bianchi type I universe in brane world scenario with non-zero Weyl tensor of the bulk
Department of Physics, University of Burdwan, Burdwan, 713 104, India
* e-mail: firstname.lastname@example.org
Accepted: 28 August 2017
Published online: 18 September 2017
In the paper, we present exact solutions of gravitational field equations for an anisotropic brane with a Bianchi type I universe with perfect fluid having non-vanishing Weyl tensor of the bulk. It is assumed that the thermodynamic pressure bears a linear relation with the energy density. For a particular non-zero value of the pressure the solutions are obtained in an exact analytic form with and without the cosmological constant for a Bianchi type I universe. The relevant physical quantities associated with the evolution of the universe are also derived in the two cases.
© The Author(s), 2017