Thermodynamic behavior for generalized f(R) gravity with arbitrary coupling between matter and geometry

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• 作者：YaBo Wu (1)
  YueYue Zhao (1)
  JianBo Lu (1)
  Xin Zhang (1)
  HaiDan Tong (1)
  Hao Yang (1)
  
• 关键词：f(R) gravity ; thermodynamics ; black hole ; FRW universe
• 刊名：SCIENCE CHINA Physics, Mechanics & Astronomy
• 出版年：2012
• 出版时间：December 2012
• 年：2012
• 卷：55
• 期：12
• 页码：2331-2337
• 全文大小：325KB
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• 作者单位：YaBo Wu (1)
  YueYue Zhao (1)
  JianBo Lu (1)
  Xin Zhang (1)
  HaiDan Tong (1)
  Hao Yang (1)
  
  1. Department of Physics, Liaoning Normal University, Dalian, 116029, China
  
• ISSN：1869-1927

文摘

The thermodynamic behavior of field equations for the generalized f(R) gravity with arbitrary coupling between matter and geometry is studied in the two kinds of spacetime, i.e., the both spatially homogenous, isotropic FRW universe and static, spherically symmetric black hole spacetime. The field equations of the generalized f(R) gravity with arbitrary coupling between matter and geometry can be cast to the form of the first law of thermodynamics with the reputed entropy production terms d $\bar S$ , which are quite general and can degenerate to the cases of Einstein’s general relativity and pure f(R) gravity with non-coupling and nonminimal coupling as special cases. The appearance of the entropy production term d $\bar S$ illustrates that the horizon thermodynamics is non-equilibrium one for the generalized f(R) gravity with arbitrary coupling between matter and geometry.