Solutions to the field equations and the deceleration parameter |
| |
| Authors: | S D Maharaj R Naidoo |
| |
| Institution: | (1) Department of Mathematics and Applied Mathematics, University of Natal, Durban, South Africa |
| |
| Abstract: | We utilise a form for the Hubble parameter to generate a number of solutions to the Einstein field equations with variable cosmological constant and variable gravitational constant. The Hubble law utilised yields a constant value for the deceleration parameter. A variety of solutions is presented in the Robertson-Walker spacetimes. A generalisation of the cosmic scale factor is utilised in the anisotropic Bianchi I spacetime to illustrate that new solutions may also be found in spacetimes with less symmetry than Robertson-Walker. We also show that the constant deceleration parameter used is consistent with alternate theories of gravity by considering the scalar-tensor theory of Lau and Prokhovnik with ak = 0 Robertson-Walker background. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
