Friedmann equations of FRW universe in scalar-tensor gravity, f(R) gravity and first law of thermodynamics
Friedmann equations of FRW universe in scalar-tensor gravity, f(R) gravity and first law of thermodynamics
复制标题
标量张量引力、f(R) 引力和热力学第一定律中 FRW 宇宙的弗里德曼方程
DOI：
10.1016/j.physletb.2006.02.035
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发表时间：
2006-03-30
影响因子：
4.4
通讯作者：
Cai, RG
中科院分区：
文献类型：
--
作者：
Akbar, M;Cai, RG
在论文中，[R.G. Cai, S.P. Kim, JHEP 0502 (2005) 050. hep-th/0501055]，表明将热力学第一定律应用到 FRW 宇宙的视视界，并假设几何熵由视视界面积的四分之一给出，可以推导出描述具有任意空间曲率的宇宙动力学的弗里德曼方程；利用高斯-邦尼特引力和更一般的洛夫洛克引力中静态球对称黑洞的熵公式，其中熵与视界面积不成正比，还可以得到每种引力中相应的弗里德曼方程。在这封信中，我们将上述论文的研究扩展到标量张量引力和 f(R) 引力的情况，并讨论结果的含义。 (c) 2006 Elsevier B.V. 保留所有权利。
In the paper, [R.G. Cai, S.P. Kim, JHEP 0502 (2005) 050. hep-th/0501055], it is shown that by applying the first law of thermodynamics to the apparent horizon of an FRW universe and assuming the geometric entropy given by a quarter of the apparent horizon area, one can derive the Friedmann equations describing the dynamics of the universe with any spatial curvature; using the entropy formula for the static spherically symmetric black holes in Gauss-Bonnet gravity and in more general Lovelock gravity, where the entropy is not proportional to the horizon area, one can also obtain the corresponding Friedmann equations in each gravity. In this Letter we extend the study of the above mentioned paper to the cases of scalar-tensor gravity and f (R) gravity, and discuss the implication of results. (c) 2006 Elsevier B.V. All rights reserved.