Jebsen-Birkhoff theorem in alternative gravity

被引：59
作者：
Faraoni, Valerio [1 ]
机构：
[1] Bishops Univ, Dept Phys, Sherbrooke, PQ J1M 1Z7, Canada
来源：
PHYSICAL REVIEW D | 2010年 / 81卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
SCALAR-TENSOR THEORY; SPHERICALLY SYMMETRIC-SOLUTIONS; HIGH-REDSHIFT SUPERNOVAE; BLACK-HOLES; ELECTROMAGNETIC-FIELDS; MACHS PRINCIPLE; ACCELERATING UNIVERSE; RELATIVISTIC THEORY; 4TH-ORDER GRAVITY; CAUCHY-PROBLEM;
D O I：
10.1103/PhysRevD.81.044002
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We discuss the validity, or lack thereof, of the Jebsen-Birkhoff theorem in scalar-tensor theories by generalizing it and regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and Einstein frames are discussed and an apparent contradiction between static spherical solutions of scalar-tensor gravity and Hawking's theorem on Brans-Dicke black holes is clarified. The results are applied to metric and Palatini f(R) gravity.
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页数：10
相关论文
共 112 条
  • [1] Singularity problem with f(R) models for dark energy
    不详
    [J]. PHYSICAL REVIEW LETTERS, 2008, 101 (06)
  • [2] [Anonymous], ARXIV08095148
  • [3] [Anonymous], ARXIVASTROPH0303041
  • [4] [Anonymous], THEORY EXPT GRAVITAT
  • [5] [Anonymous], ARXIV08102602
  • [6] [Anonymous], ARXIV09094672
  • [7] Do consistent F(R) models mimic general relativity plus Λ?
    Appleby, Stephen A.
    Battye, Richard A.
    [J]. PHYSICS LETTERS B, 2007, 654 (1-2) : 7 - 12
  • [8] Nonminimally coupled scalar fields may not curve spacetime -: art. no. 104037
    Ayón-Beato, E
    Martínez, C
    Troncoso, R
    Zanelli, J
    [J]. PHYSICAL REVIEW D, 2005, 71 (10):
  • [9] Stealth scalar field overflying a 2+1 black hole
    Ayón-Beato, E
    Martínez, C
    Zanelli, J
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2006, 38 (01) : 145 - 152
  • [10] Non-gravitating scalar field in the FRW background
    Banerjee, Nabamita
    Jain, Rajeev Kumar
    Jatkar, Dileep P.
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2008, 40 (01) : 93 - 105
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