The gravitating σ model in 2+1 dimensions:: black hole solutions

被引:23
作者
Clément, G [1 ]
Fabbri, A [1 ]
机构
[1] Univ Paris 06, CNRS, ESA 7065, Lab Gravitat & Cosmol Relativistes, F-75252 Paris 05, France
关键词
D O I
10.1088/0264-9381/16/2/001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive and discuss black-hole solutions to the gravitating O(3) sigma model in (2 + 1) dimensions. Three different kinds of static black holes are found. One of these resembles the static BTZ black hole, another is completely free of singularities, and the last type has the same Penrose diagram as the (3 + 1)-dimensional Schwarzschild black hole. We also construct static and dynamical multi-black-hole systems.
引用
收藏
页码:323 / 341
页数:19
相关论文
共 35 条
[1]  
[Anonymous], EXACT SOLUTIONS EINS
[2]   Two-dimensional black holes in accelerated frames: Spacetime structure [J].
Balbinot, R ;
Fabbri, A .
CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (09) :2457-2471
[3]   BLACK-HOLE IN 3-DIMENSIONAL SPACETIME [J].
BANADOS, M ;
TEITELBOIM, C ;
ZANELLI, J .
PHYSICAL REVIEW LETTERS, 1992, 69 (13) :1849-1851
[4]   GEOMETRY OF THE 2+1 BLACK-HOLE [J].
BANADOS, M ;
HENNEAUX, M ;
TEITELBOIM, C ;
ZANELLI, J .
PHYSICAL REVIEW D, 1993, 48 (04) :1506-1525
[5]  
BELAVIN AA, 1975, JETP LETT+, V22, P245
[6]  
Bronnikov K. A., 1998, Gravitation & Cosmology, V4, P128
[7]   Structure and stability of cold scalar-tensor black holes [J].
Bronnikov, KA ;
Clement, G ;
Constantinidis, CP ;
Fabris, JC .
PHYSICS LETTERS A, 1998, 243 (03) :121-127
[8]  
BRONNIKOV KA, GRQC9710092
[9]   The (2+1)-dimensional black hole [J].
Carlip, S .
CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (12) :2853-2879
[10]   STATIONARY SOLUTIONS IN 5-DIMENSIONAL GENERAL-RELATIVITY [J].
CLEMENT, G .
GENERAL RELATIVITY AND GRAVITATION, 1986, 18 (02) :137-160