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Stability Analysis of Einstein Universe in f(mathcal{G},T) Gravity

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arxiv 1704.05759 v1 pith:377WJL4O submitted 2017-04-18 gr-qc

Stability Analysis of Einstein Universe in f(mathcal{G},T) Gravity

classification gr-qc
keywords stabilityeinsteinmathcalregionsuniverseanalysisgravitywell
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This paper explores stability of the Einstein universe against linear homogeneous perturbations in the background of $f(\mathcal{G},T)$ gravity. We construct static as well as perturbed field equations and investigate stability regions for the specific forms of generic function $f(\mathcal{G},T)$ corresponding to conserved as well as non-conserved energy-momentum tensor. We use the equation of state parameter to parameterize the stability regions. The graphical analysis shows that the suitable choice of parameters lead to stable regions of the Einstein universe.

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