Some versions of Chaplygin gas model in modified gravity framework and validity of generalized second law of thermodynamics

Sanjeeda Sultana, E. Güdekli, S. Chattopadhyay
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Abstract

Abstract In the work reported in this paper, we have analyzed generalized Chaplygin gas (GCG) and modified generalized Chaplygin gas (MGCG) in an interacting scenario. The equation of state parameter has been analyzed in both the cases and the stability of the models has been discerned through squared speed of sound. Stability against gravitational perturbations has been observed for both GCG and MGCG interacting with pressureless dark matter. Also, the generalized second law (GSL) of thermodynamics has been tested for different enveloping horizons and validity of GSL has been observed throughout. Furthermore, f(T) gravity has been reconstructed with GCG and MGCG and phantom behaviour has been observed through reconstructed EoS parameters. The squared speed of sound has been derived for f(T) gravity and stability of the model has been established through its positivity.
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修正重力框架下Chaplygin气体模型的几个版本及广义热力学第二定律的有效性
摘要本文研究了相互作用条件下的广义Chaplygin气体(GCG)和修正广义Chaplygin气体(MGCG)。分析了两种情况下的状态参数方程,并通过声速的平方判别了模型的稳定性。已经观察到GCG和MGCG与无压暗物质相互作用时对引力扰动的稳定性。本文还对热力学广义第二定律(GSL)在不同包络面下的有效性进行了检验。此外,用GCG和MGCG重建了f(T)重力,并通过重建的EoS参数观察了幻像行为。推导了f(T)重力下声速的平方,并通过其正性建立了模型的稳定性。
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