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 of thermodynamics which states that the variation of total entropy is non-negative.

中文翻译：

---

在帕拉蒂尼 f(R) 引力中随时间变化的虫洞的热力学行为

在修正 f ( R ) 引力理论的帕拉蒂尼方法的框架中，我们试图研究随时间变化的虫洞几何结构的热力学行为。通过考虑不断演化的虫洞时空，我们找到了帕拉蒂尼 f ( R ) 引力场方程。能量密度和压力被重新定义以满足连续性方程。为了讨论热力学行为，获得了总熵变化的表达式。然后，我们将讨论扩展到进化虫洞的视界和事件视界。我们使用视界和事件视界的半径来确定广义热力学第二定律的有效性，该定律指出总熵的变化是非负的。