https://doi.org/10.1140/epjc/s10052-017-5175-0
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: schaudhuri.phys@gmail.com
Received:
17
July
2017
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
