Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation

被引:85
作者
Hendi, S. H. [1 ,2 ]
Panah, B. Eslam [3 ]
Mousavi, S. M. [1 ]
机构
[1] Univ Yasuj, Coll Sci, Dept Phys, Yasuj 75914, Iran
[2] Res Inst Astron & Astrophys Maragha RIAAM, Maragha, Iran
[3] Univ Tabriz, Dept Phys, Tabriz, Iran
关键词
F(R) gravity; Black hole solutions; SPHERICALLY SYMMETRIC-SOLUTIONS; PROBE WMAP OBSERVATIONS; DARK ENERGY; SCALAR-TENSOR; GRAVITATIONAL-WAVES; COSMOLOGICAL CONSTANT; ACCELERATING UNIVERSE; WEAK MODIFICATION; ROTATION CURVES; R-2; THEORY;
D O I
10.1007/s10714-011-1307-2
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we obtain topological static solutions of some kind of pure F(R) gravity. The present solutions are two kind: first type is uncharged solution which corresponds with the topological (a)dS Schwarzschild solution and second type has electric charge and is equivalent to the Einstein-I >-conformally invariant Maxwell solution. In other word, starting from pure gravity leads to (charged) Einstein-I > solutions which we interpreted them as (charged) (a)dS black hole solutions of pure F(R) gravity. Calculating the Ricci and Kreschmann scalars show that there is a curvature singularity at r = 0. We should note that the Kreschmann scalar of charged solutions goes to infinity as r -> 0, but with a rate slower than that of uncharged solutions.
引用
收藏
页码:835 / 853
页数:19
相关论文
共 108 条
[1]   Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday [J].
Abdalla, MCB ;
Nojiri, S ;
Odintsov, SD .
CLASSICAL AND QUANTUM GRAVITY, 2005, 22 (05) :L35-L42
[2]   Thermodynamic behavior of field equations for f (R) gravity [J].
Akbar, M. ;
Cai, Rong-Gen .
PHYSICS LETTERS B, 2007, 648 (2-3) :243-248
[3]   Friedmann equations of FRW universe in scalar-tensor gravity, f(R) gravity and first law of thermodynamics [J].
Akbar, M ;
Cai, RG .
PHYSICS LETTERS B, 2006, 635 (01) :7-10
[4]   Conditions for the cosmological viability of f(R) dark energy models [J].
Amendola, Luca ;
Gannouji, Radouane ;
Polarski, David ;
Tsujikawa, Shinji .
PHYSICAL REVIEW D, 2007, 75 (08)
[5]  
[Anonymous], ARXIV08095148
[6]  
[Anonymous], 1992, Effective action in quantum gravity
[7]  
[Anonymous], ARXIV08102602
[8]  
[Anonymous], 2008, JCAP
[9]   Accelerating universe in f (R) brane gravity [J].
Atazadeh, K. ;
Farhoudi, M. ;
Sepangi, H. R. .
PHYSICS LETTERS B, 2008, 660 (04) :275-281
[10]   Accelerated expansion in modified gravity with a Yukawa-like term [J].
Atazadeh, K. ;
Sepangi, H. R. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2007, 16 (04) :687-697