Solutions to the field equations and the deceleration parameter

Details Solutions to the field equations and the deceleration parameter Solutions to the field equations and the deceleration parameter

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.208..261m&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 208, no. 2, p. 261-276

Statistics

Computation

31

Computational Astrophysics, Cosmology, Deceleration, Einstein Equations, Equations Of State, Gravitational Effects, Hubble Constant, Anisotropy, Differential Equations, Gravitation Theory, Nonlinear Equations, Scalars, Space-Time Functions, Tensors

Scientific paper

We utilize 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 utilized yields a constant value for the deceleration parameter. A variety of solutions is presented in the Robertson-Walker spacetimes. A generalization of the cosmic scale factor is utilized 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 a k = 0 Robertson-Walker background.

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