GRAVITATION IN 2+1 DIMENSIONS

被引:52
作者
CORNISH, NJ
FRANKEL, NE
机构
[1] School of Physics, University of Melbourne, Parkville
来源
PHYSICAL REVIEW D | 1991年 / 43卷 / 08期
关键词
D O I
10.1103/PhysRevD.43.2555
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate gravitational field theories in 2+1-spacetime dimensions. The consequences of the lack of a Newtonian limit to general relatively are reviewed. Further insight into the implications of this fact is gained by considering a new, general class of exact hydrostatic solutions. We show that all self-gravitating polytropic structures have the same gravitational mass and produce matter-filled spaces of finite spatial volume. Other theories of gravitation are also considered and the behavior of one such theory with a Newtonian limit is studied. Cosmological solutions of these gravitational theories are also studied in detail.
引用
收藏
页码:2555 / 2565
页数:11
相关论文
共 13 条
[1]   3-DIMENSIONAL CLASSICAL SPACETIMES [J].
BARROW, JD ;
BURD, AB ;
LANCASTER, D .
CLASSICAL AND QUANTUM GRAVITY, 1986, 3 (04) :551-567
[2]  
Brown JD, 1988, LOWER DIMENSIONAL GR
[3]   GENERAL RELATIVISTIC FLUID SPHERES [J].
BUCHDAHL, HA .
PHYSICAL REVIEW, 1959, 116 (04) :1027-1034
[4]   DYNAMICAL INSTABILITY OF GASEOUS MASSES APPROACHING SCHWARZSCHILD LIMIT IN GENERAL RELATIVITY [J].
CHANDRASEKHAR, S .
ASTROPHYSICAL JOURNAL, 1964, 140 (02) :417-&
[5]   3-DIMENSIONAL EINSTEIN GRAVITY - DYNAMICS OF FLAT SPACE [J].
DESER, S ;
JACKIW, R ;
THOOFT, G .
ANNALS OF PHYSICS, 1984, 152 (01) :220-235
[6]   TOPOLOGICALLY MASSIVE GAUGE-THEORIES [J].
DESER, S ;
JACKIW, R ;
TEMPLETON, S .
ANNALS OF PHYSICS, 1982, 140 (02) :372-411
[7]  
Einstein A, 1914, ANN PHYS-BERLIN, V44, P321
[8]   THEORIES OF GRAVITATION IN 2 DIMENSIONS [J].
GEGENBERG, J ;
KELLY, PF ;
MANN, RB ;
VINCENT, D .
PHYSICAL REVIEW D, 1988, 37 (12) :3463-3471
[9]  
JORDAN P, 1960, AHB AKAD WISS MAINZ, V7
[10]  
Peebles P. J. E., 1980, LARGE SCALE STRUCTUR