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

Abstract

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.

19 pages, 8 figures, to appear in IJMPD

References in corpus (8)

• f(R,T) gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Construction of cosmologically viable f(G) gravity models
• The Cosmology of Modified Gauss-Bonnet Gravity
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Dynamics of f(R)-cosmologies containing Einstein static models
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity

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• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Modified Gauss-Bonnet Gravity with Radiating Fluids
• Compact relativistic geometries in $f(R,G)$ gravity
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Quantum Entropy-Driven Modifications to Holographic Dark Energy in $f(G,T)$ Gravity