Static spherically symmetric solutions in F(R) gravity

被引:141
作者
Sebastiani, L. [1 ,2 ]
Zerbini, S. [1 ,2 ]
机构
[1] Univ Trento, Dipartimento Fis, Trento, Italy
[2] Ist Nazl Fis Nucl, Grp Collegato Trento, Sez Padova, Padua, Italy
来源
EUROPEAN PHYSICAL JOURNAL C | 2011年 / 71卷 / 03期
关键词
BLACK-HOLE ENTROPY; HAWKING RADIATION;
D O I
10.1140/epjc/s10052-011-1591-8
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
A Lagrangian derivation of the Equations of Motion (EOM) for static spherically symmetric metrics in F(R) modified gravity is presented. For a large class of metrics, our approach permits one to reduce the EOM to a single equation and we show how it is possible to construct exact solutions in F(R)-gravity. All known exact solutions are recovered. We also exhibit a new non-trivial solution with non-constant Ricci scalar.
引用
收藏
页数:5
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共 38 条
  • [1] Tolman Mass, Generalized Surface Gravity, and Entropy Bounds
    Abreu, Gabriel
    Visser, Matt
    [J]. PHYSICAL REVIEW LETTERS, 2010, 105 (04)
  • [2] Hawking radiation as tunneling for extremal and rotating black holes
    Angheben, M
    Nadalini, M
    Vanzo, L
    Zerbini, S
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2005, (05): : 274 - 291
  • [3] Black Hole Entropy for Two Higher Derivative Theories of Gravity
    Bellini, Emilio
    Di Criscienzo, Roberto
    Sebastia, Lorenzo
    Zerbini, Sergio
    [J]. ENTROPY, 2010, 12 (10) : 2186 - 2198
  • [4] Generalized Misner-Sharp energy in f(R) gravity
    Cai, Rong-Gen
    Cao, Li-Ming
    Hu, Ya-Peng
    Ohta, Nobuyoshi
    [J]. PHYSICAL REVIEW D, 2009, 80 (10):
  • [5] Spherical symmetry in f(R)-gravity
    Capozziello, S.
    Stabile, A.
    Troisi, A.
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (08)
  • [6] Curvature quintessence
    Capozziello, S
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (04): : 483 - 491
  • [7] Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions
    Carames, T. R. P.
    Bezerra de Mello, E. R.
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2009, 64 (01): : 113 - 121
  • [8] The power of general relativity
    Clifton, T
    Barrow, JD
    [J]. PHYSICAL REVIEW D, 2005, 72 (10):
  • [9] Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion
    Cognola, G.
    Elizalde, E.
    Nojiri, S.
    Odintsov, S. D.
    Sebastiani, L.
    Zerbini, S.
    [J]. PHYSICAL REVIEW D, 2008, 77 (04):
  • [10] One-loop f(R) gravity in de Sitter universe -: art. no. 010
    Cognola, G
    Elizalde, E
    Nojiri, S
    Odintsov, SD
    Zerbini, S
    [J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2005, (02): : 217 - 243