Solving the N-body problem in (2+1) gravity

被引：31
作者：
Bellini, A [1 ]
Ciafaloni, M [1 ]
Valtancoli, P [1 ]
机构：
[1] IST NAZL FIS NUCL, I-50125 FLORENCE, ITALY
来源：
NUCLEAR PHYSICS B | 1996年 / 462卷 / 2-3期
关键词：
gravity; N-body problem;
D O I：
10.1016/0550-3213(96)00031-4
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：
We construct a non-perturbative, single-valued solution for the metric and the motion of N interacting particles in (2 + 1) gravity, The solution is explicit for two particles with any speed and for any number of particles with small speed. It is based on a mapping from multivalued Minkowskian coordinates to single-valued ones, which solves the non-Abelian monodromies due to the particles' momenta, The two- and three-body cases are treated in detail.
引用
收藏
页码：453 / 490
页数：38
相关论文
共 47 条
[1]   A CHERN-SIMONS ACTION FOR 3-DIMENSIONAL ANTI-DESITTER SUPERGRAVITY THEORIES [J].
ACHUCARRO, A ;
TOWNSEND, PK .
PHYSICS LETTERS B, 1986, 180 (1-2) :89-92
[2]   EXTENDED SUPERGRAVITIES IN D=2+1 AS CHERN-SIMONS THEORIES [J].
ACHUCARRO, A ;
TOWNSEND, PK .
PHYSICS LETTERS B, 1989, 229 (04) :383-387
[3]   STRIKING PROPERTY OF THE GRAVITATIONAL HAMILTONIAN [J].
ASHTEKAR, A ;
VARADARAJAN, M .
PHYSICAL REVIEW D, 1994, 50 (08) :4944-4956
[4]   (2+1)-GRAVITY WITH MOVING PARTICLES IN AN INSTANTANEOUS GAUGE [J].
BELLINI, A ;
CIAFALONI, M ;
VALTANCOLI, P .
NUCLEAR PHYSICS B, 1995, 454 (1-2) :449-463
[5]   NONPERTURBATIVE PARTICLE DYNAMICS IN (2+1)-GRAVITY [J].
BELLINI, A ;
CIAFALONI, M ;
VALTANCOLI, P .
PHYSICS LETTERS B, 1995, 357 (04) :532-538
[6]   EXACT QUASI-STATIC PARTICLE SCATTERING IN 2+1 GRAVITY [J].
BELLINI, A ;
VALTANCOLI, P .
PHYSICS LETTERS B, 1995, 348 (1-2) :44-50
[7]   CLASSICAL SCATTERING IN 2 + 1 GRAVITY WITH N-SPINNING SOURCES [J].
CAPPELLI, A ;
CIAFALONI, M ;
VALTANCOLI, P .
PHYSICS LETTERS B, 1991, 273 (04) :431-437
[8]   CLASSICAL SCATTERING IN 2+1 GRAVITY WITH N-POINT SOURCES [J].
CAPPELLI, A ;
CIAFALONI, M ;
VALTANCOLI, P .
NUCLEAR PHYSICS B, 1992, 369 (03) :669-706
[9]   EXACT QUANTUM SCATTERING IN 2+1 DIMENSIONAL GRAVITY [J].
CARLIP, S .
NUCLEAR PHYSICS B, 1989, 324 (01) :106-122
[10]   ENERGY-MOMENTUM RESTRICTIONS ON THE CREATION OF GOTT TIME MACHINES [J].
CARROLL, SM ;
FARHI, E ;
GUTH, AH ;
OLUM, KD .
PHYSICAL REVIEW D, 1994, 50 (10) :6190-6206
12345