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
相关论文
共 50 条
  • [11] A class of static spherically symmetric solutions in f(Q)-gravity
    Marco Calzá
    Lorenzo Sebastiani
    The European Physical Journal C, 83
  • [12] A class of static spherically symmetric solutions in f(Q)-gravity
    Calza, Marco
    Sebastiani, Lorenzo
    EUROPEAN PHYSICAL JOURNAL C, 2023, 83 (03):
  • [13] Dust Static Spherically Symmetric Solution in f(R) Gravity
    Sharif, Muhammad
    Kausar, Hafiza Rizwana
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2011, 80 (04)
  • [14] Static spherically symmetric wormholes in f(R, T) gravity
    M. Zubair
    Saira Waheed
    Yasir Ahmad
    The European Physical Journal C, 2016, 76
  • [15] Static spherically symmetric wormholes f (R, T) gravity
    Zubair, M.
    Waheed, Saira
    Ahmad, Yasir
    EUROPEAN PHYSICAL JOURNAL C, 2016, 76 (08):
  • [16] Static spherically symmetric wormholes in generalized f(R,φ) gravity
    Zubair, M.
    Kousar, Farzana
    Bahamonde, Sebastian
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (12):
  • [17] Spherically symmetric solutions in F(R) gravity and gravitational repulsion
    Arbuzova, E. V.
    Dolgov, A. D.
    Reverberi, L.
    ASTROPARTICLE PHYSICS, 2014, 54 : 44 - 47
  • [18] CONSISTENCY CONDITION OF SPHERICALLY SYMMETRIC SOLUTIONS IN f(R) GRAVITY
    Saffari, Reza
    Rahvar, Sohrab
    MODERN PHYSICS LETTERS A, 2009, 24 (04) : 305 - 309
  • [19] New spherically symmetric solutions in f (R)-gravity by Noether symmetries
    Salvatore Capozziello
    Noemi Frusciante
    Daniele Vernieri
    General Relativity and Gravitation, 2012, 44 : 1881 - 1891
  • [20] String solutions in spherically-symmetric f(R) gravity vacuum
    Dil, Emre
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2018, 27 (02):
12345