most citedThe Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity

79 citations · 183 across the 3 of their papers we have counts for

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gr-qc200992 cited

Power-law cosmic expansion in f(R) gravity models

Naureen Goheer, Julien Larena, Peter K. S. Dunsby

We show that within the class of f(R) gravity theories, FLRW power-law perfect fluid solutions only exist for R^n gravity. This significantly restricts the set of exact cosmologica…

gr-qc200991 cited

On the co-existence of matter dominated and accelerating solutions in f(G)-gravity

Naureen Goheer, Rituparno Goswami, Peter K. S. Dunsby +1

Working within the theory of modified Gauss-Bonnet gravity, we show that FLRW--like power--law solutions only exist for a very special class of f(G)theories. Furthermore, we point…

gr-qc200883 cited

Dynamics of f(R)-cosmologies containing Einstein static models

Naureen Goheer, Rituparno Goswami, Peter K. S. Dunsby

We study the dynamics of homogeneous isotropic FRW cosmologies with positive spatial curvature in -gravity, paying special attention to the existence of Einstein static model…

gr-qc200879 cited

The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity

Rituparno Goswami, Naureen Goheer, Peter K. S. Dunsby

We investigate whether or not an Einstein Static universe is a solution to the cosmological equations in gravity. It is found that only one class of theories admits a…

gr-qc200771 cited

Dynamical systems analysis of anisotropic cosmologies in -gravity

Naureen Goheer, Jannie A. Leach, Peter K. S. Dunsby

In this paper we study the dynamics of {\it orthogonal spatially homogeneous} Bianchi cosmologies in -gravity. We construct a compact state space by dividing the state space i…

gr-qc200733 cited

Compactifying the state space for alternative theories of gravity

Naureen Goheer, Jannie A. Leach, Peter K. S. Dunsby

In this paper we address important issues surrounding the choice of variables when performing a dynamical systems analysis of alternative theories of gravity. We discuss the advant…