Smarr's formula for black holes with non-linear electrodynamics

被引:83
作者
Bretón, N [1 ]
机构
[1] IPN, CINVESTAV, Dept Fis, Mexico City 07738, DF, Mexico
关键词
black hole; magnetic monopole;
D O I
10.1007/s10714-005-0051-x
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is known that for nonlinear electrodynamics the First Law of Black Hole Mechanics holds, however the Smarr's formula for the total mass does not. In this contribution we discuss the point and determine the corresponding expressions for the Bardeen black hole solution that represents a nonlinear magnetic monopole. The same is done for the regular black hole solution derived by Ayon-Beato and Garcia [1], showing that in the case that variations of the electric charge are involved, the Smarr's formula is no longer valid.
引用
收藏
页码:643 / 650
页数:8
相关论文
共 21 条
[1]  
[Anonymous], 1993, Directions in General Relativity: An International Symposium in Honor of the 60th Birthdays of Dieter Brill and Charles Misner College Park, Maryland, May 27-29, 1993
[2]   Hairy black holes, horizon mass and solitons [J].
Ashtekar, A ;
Corichi, A ;
Sudarsky, D .
CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (05) :919-940
[3]   The Bardeen model as a nonlinear magnetic monopole [J].
Ayón-Beato, E ;
García, A .
PHYSICS LETTERS B, 2000, 493 (1-2) :149-152
[4]   Non-singular charged black hole solution for non-linear source [J].
Ayón-Beato, E ;
García, A .
GENERAL RELATIVITY AND GRAVITATION, 1999, 31 (05) :629-633
[5]   New regular black hole solution from nonlinear electrodynamics [J].
Ayón-Beato, E ;
García, A .
PHYSICS LETTERS B, 1999, 464 (1-2) :25-29
[6]   Regular black hole in general relativity coupled to nonlinear electrodynamics [J].
Ayon-Beato, E ;
Garcia, A .
PHYSICAL REVIEW LETTERS, 1998, 80 (23) :5056-5059
[7]   Foundations of the new field theory. [J].
Born, M ;
Infeld, L .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1934, 144 (A852) :0425-0451
[8]   SCALAR, ELECTROMAGNETIC, AND GRAVITATIONAL-FIELDS INTERACTION - PARTICLE-LIKE SOLUTIONS [J].
BRONNIKOV, KA ;
MELNIKOV, VN ;
SHIKIN, GN ;
STANIUKOVICH, KP .
ANNALS OF PHYSICS, 1979, 118 (01) :84-107
[9]   Regular magnetic black holes and monopoles from nonlinear electrodynamics [J].
Bronnikov, KA .
PHYSICAL REVIEW D, 2001, 63 (04)
[10]   Einstein-Yang-Mills isolated horizons: Phase space, mechanics, hair, and conjectures [J].
Corichi, A ;
Nucamendi, U ;
Sudarsky, D .
PHYSICAL REVIEW D, 2000, 62 (04) :1-19