This paper extends the Misner-Sharp quasilocal energy to f(R,G) gravity and applies it to apparent horizon thermodynamics, finding a phase transition in the adiabatic index for certain models.
Anisotropic Compact Stars in $f(G)$ Gravity
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abstract
This paper is devoted to study the possibility of forming anisotropic compact stars in modified Gauss-Bonnet, namely called as $f(G)$ theory of gravity which is one of the strong candidates,responsible for the accelerated expansion of the universe. For this purpose, we have used analytical solution of Krori and Barua metric to the Einstein field equations with anisotropic form of matter and power law model of $f(G)$ gravity. To determine the unknown constants in Krori and Barua metric, we have used the sample of compact stars, 4$U$1820-30, Her X-1, SAX J 1808-3658. The physical behavior of these stars have been analyzed with the observational data. In this setting, we have checked all the regularity conditions and stability of the compact stars 4$U$1820-30, Her X-1, SAX J1808-3658.
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Generalized Misner-Sharp energy in $f(R,\mathcal{G})$ gravity
This paper extends the Misner-Sharp quasilocal energy to f(R,G) gravity and applies it to apparent horizon thermodynamics, finding a phase transition in the adiabatic index for certain models.