论文标题

在广义能量摩托米方面的明显地平线的热力学

Thermodynamics of the apparent horizon in the generalized energy-momentum-squared cosmology

论文作者

Rudra, Prabir, Pourhassan, Behnam

论文摘要

在本说明中,我们在广义能量摩尔植物平方重力的背景下探索了宇宙的热力学特性。我们从非标准的连续性方程中得出物质的能量密度,并在我们的分析中使用它。我们考虑两种类型的模型,具体取决于曲率和物质之间的耦合性质,并使用宇宙明显的视野对它们进行热力学分析。从数学角度来看,这些模型尽可能地保持一般性,以便获得工作的广泛适用性。在这项工作中,我们考虑了模型的权力法和指数形式。所有热力学参数均以宇宙明显的范围及其时间衍生物和时间演化表示。通过使用温度,热能分析和Helmholtz自由能的演化趋势得出了模型的热力学稳定性条件。可以看出,我们的稳定性分析极大地限制了模型的参数空间。

In this note, we explore the thermodynamic properties of the universe in the background of the generalized energy-momentum-squared gravity. We derive the energy density of matter from the non-standard continuity equation and use it in our analysis. We consider two types of models depending on the nature of coupling between curvature and matter and perform thermodynamic analysis on them using the cosmic apparent horizon. The models are kept as generic as possible from the mathematical point of view in order to gain a wide applicability of the work. In this work we have considered power law and exponential form of models. All the thermodynamic parameters are expressed in terms of the cosmic apparent horizon radius and its time derivatives and their time evolution are studied. By using temperature, heat capacity analysis and the evolution trend of Helmholtz free energy the conditions for thermodynamic stability of the models are derived. It is seen that our stability analysis considerably constrain the parameter space of the model.

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