﻿ 热力学第二定律对广义f(R)引力模型的限制 The Constraints on the Generalized f(R) Gravitational Model by the Generalized Second Law of Thermodynamics

Astronomy and Astrophysics
Vol.04 No.02(2016), Article ID:17695,6 pages
10.12677/AAS.2016.42005

The Constraints on the Generalized f(R) Gravitational Model by the Generalized Second Law of Thermodynamics

Yueyue Zhao, Yanyan Qin, Lijun Feng, Hong Li

Department of Basic, Dalian Naval Academy, Dalian Liaoning

Received: May 8th, 2016; accepted: May 23rd, 2016; published: May 30th, 2016

ABSTRACT

The generalized f(R) gravity with curvature-matter coupling is studied in this paper. The generalized second law of thermodynamics (GSL) can be given by considering the FRW universe filled only with ordinary matter enclosed by the dynamical apparent horizon with the Hawking temperature. Furthermore, as a concrete example, by utilizing the GSL, the constraints on the gravitational model are also discussed.

Keywords:f(R) Gravity, Coupling, Thermodynamics

1. 引言

2. 时空背景

， (1)

，(2)

(3)

， (4)

3. 热力学第二定律

。 (5)

， (6)

。 (7)

(8)

(9)

(10)

。(11)

(12)

(13)

4. 热力学第二定律对模型的限制

(14)

(15)

5. 结束语

(a)(b)

Figure 1. The constraints of the GSL on the parameters m and p in the model with and. (a) corresponds to α = 1 and l = 0.8 and (b) corresponds to α = 1 and l = 0.2, respectively

Figure 2. Curve: The evolutions of the logarithm of with m when taking, and, respectively

The Constraints on the Generalized f(R) Gravitational Model by the Generalized Second Law of Thermodynamics[J]. 天文与天体物理, 2016, 04(02): 41-46. http://dx.doi.org/10.12677/AAS.2016.42005

1. 1. Izquierdo G, Pavon, D. Phys. Lett. B, 2006, 639: 1. http://dx.doi.org/10.1016/j.physletb.2006.05.082

2. 2. Wu Y B, Zhao Y Y, Lu J B, Zhang X, Tong H D, Yang H. Sic China-Phys Mech Astron, 2012, 55: 2331. http://dx.doi.org/10.1007/s11433-012-4927-y

3. 3. Amendola L, Gannouji R, Polarski D, Tsujikawa S. Phys. Rev. D, 2007, 75: 083504. http://dx.doi.org/10.1103/PhysRevD.75.083504

4. 4. Wang J, Wu, Y B, et al. Eur. Phys. J. C, 2010, 69: 541. http://dx.doi.org/10.1140/epjc/s10052-010-1419-y