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arXiv 2101.06372gr-qc
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Palatini $f(R)$引力场中含时虫洞的热力学行为

Thermodynamic Behavior of Time-Dependent Wormholes in Palatini $f(R)$ Gravity

Hamidreza Saiedi

摘要:

在Palatini方法的框架下,我们试图研究含时虫洞几何的热力学行为。通过考虑一个演化的虫洞时空,我们找到了Palatini $f(R)$引力场方程。重新定义了能量密度和压力,以满足连续性方程。为了讨论系统的热力学行为,得到了系统总熵的变化表达式。然后,我们将讨论扩展到演化虫洞的视视界和事件视界。本文利用表观视界和事件视界的半径来确定广义热力学第二定律(GSL)的有效性,即总熵的变化是非负的。

英文摘要:

In the frame work of Palatini approach to modified $f(R)$ theories of gravity, we attempt to investigate the thermodynamic behavior of time-dependent wormhole geometries. By considering an evolving wormhole spacetime, we find the field equations in Palatini $f(R)$ gravity. The energy density and pressure are redefined in order to satisfy the continuity equation. To discuss the thermodynamic behavior, an expression for the variation of total entropy is obtained. Then, we extend our discussions to apparent and event horizons of evolving wormholes. We employ the radius of apparent and event horizons to determine the validity of generalized second law (GSL) of thermodynamics which states that the variation of total entropy is non-negative.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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