Static spherically symmetric solution of (R ± μ 4/R) gravity

被引：14
|
作者：
Saaidi, K. [1 ,2 ]
Vajdi, A. [1 ]
Aghamohammadi, A. [2 ,3 ]
机构：
[1] Univ Kurdistan, Dept Phys, Fac Sci, Sanandaj, Iran
[2] Islamic Azad Univ Sanandaj, Sanandaj, Iran
[3] Islamic Azad Univ Tehran, Sci & Res Branch, Plasma Phys Res Ctr, Tehran, Iran
来源：
GENERAL RELATIVITY AND GRAVITATION | 2010年 / 42卷 / 10期
关键词：
Static spherically symmetric solution; f (R) gravity; Modified gravity; COSMOLOGICAL PARAMETERS; WMAP;
D O I：
10.1007/s10714-010-0989-1
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The static spherically symmetric solution for R +/- mu (4)/R model of f(R) gravity is investigated. We obtain the metric for space-time in the solar system that reduces to the Schwarzschild metric, when mu tends to zero. For the obtained metric, the deviation from Einstein gravity is very small. This result is different from the other results have been obtained by equivalence between f(R) gravity and scalar tensor theory. Also it is shown that the vacuum solution in the solar system depends on the shape of matter distribution which differ from the Einstein's gravity.
引用
收藏
页码：2421 / 2429
页数：9
相关论文
共 50 条
  • [21] Revised Spherically Symmetric Solutions of R plus ε/R Gravity
    Saaidi, K.
    Rabiei, S. W.
    Aghamohammadi, A.
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2011, 50 (08) : 2514 - 2519
  • [22] Noether Symmetries of Spherically Symmetric Static Space-Time in f(R) Gravity
    Oz, I. Basaran
    Camci, U.
    [J]. MATHEMATICAL PHYSICS, 2018, : 66 - 75
  • [23] Static and spherically symmetric wormholes in power-law f (R) gravity model
    Errehymy, Abdelghani
    [J]. PHYSICS OF THE DARK UNIVERSE, 2024, 44
  • [24] Generation of spherically symmetric metrics in f(R) gravity
    Z. Amirabi
    M. Halilsoy
    S. Habib Mazharimousavi
    [J]. The European Physical Journal C, 2016, 76
  • [25] Spherically symmetric spacetimes in f(R) gravity theories
    Kainulainen, Kimmo
    Piilonen, Johanna
    Reijonen, Vappu
    Sunhede, Daniel
    [J]. PHYSICAL REVIEW D, 2007, 76 (02)
  • [26] Generation of spherically symmetric metrics in f (R) gravity
    Amirabi, Z.
    Halilsoy, M.
    Mazharimousavi, S. Habib
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2016, 76 (06):
  • [27] On the Solution of an f(R) Theory of Gravity Motivated by Gravitational Waves in Spherically Symmetric Spacetime
    Mishra, Aditya Mani
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (05): : 137 - 144
  • [28] Nontrivial static, spherically symmetric vacuum solution in a nonconservative theory of gravity
    Oliveira, A. M.
    Velten, H. E. S.
    Fabris, J. C.
    [J]. PHYSICAL REVIEW D, 2016, 93 (12)
  • [29] Spherically symmetric isothermal fluids in f (R, T) gravity
    Hansraj, Sudan
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (09):
  • [30] CONSISTENCY CONDITION OF SPHERICALLY SYMMETRIC SOLUTIONS IN f(R) GRAVITY
    Saffari, Reza
    Rahvar, Sohrab
    [J]. MODERN PHYSICS LETTERS A, 2009, 24 (04) : 305 - 309
12345