The torus universe in the polygon approach to (2+1)-dimensional gravity

被引：4
|
作者：
Welling, M
机构：
[1] Institute for Theoretical Physics, University of Utrecht, 3508 TA Utrecht
来源：
CLASSICAL AND QUANTUM GRAVITY | 1997年 / 14卷 / 04期
关键词：
QUANTUM-GRAVITY; 2+1 DIMENSIONS; SPACE; TIME;
D O I：
10.1088/0264-9381/14/4/010
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper we describe the matter-free toroidal spacetime in 't Hooft's polygon approach to (2+1)-dimensional gravity. First we show that the constraint algebra of the polygons closes (this is a general result, not necessarily derived for a torus). Next we construct a one-polygon torus and find (in contrast to earlier results in the literature) that this slicing of spacetime is not compatible with all the solutions that emerge in the continuum formulation. Finally, we remedy this situation by adding one more polygon.
引用
收藏
页码：929 / 943
页数：15
相关论文
共 50 条
  • [1] Causal diamonds in (2+1)-dimensional quantum gravity
    Andrade e Silva, Rodrigo
    Jacobson, Ted
    PHYSICAL REVIEW D, 2023, 107 (02)
  • [2] In search of fundamental discreteness in (2+1)-dimensional quantum gravity
    Budd, T. G.
    Loll, R.
    CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (18)
  • [3] Cosmological measurements, time and observables in (2+1)-dimensional gravity
    Meusburger, C.
    CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (05)
  • [4] Quantizing models of (2+1)-dimensional gravity on non-orientable manifolds
    Chen, Si
    Witt, Donald M.
    Plotkin, Steven S.
    CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (05)
  • [5] Geometry and observables in (2+1)-gravity
    Meusburger, C.
    GENERAL RELATIVITY AND GRAVITATION, 2011, 43 (09) : 2409 - 2420
  • [6] Geometry and observables in (2+1)-gravity
    C. Meusburger
    General Relativity and Gravitation, 2011, 43 : 2409 - 2420
  • [7] A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
    Papageorgiou, G.
    Schroers, B. J.
    JOURNAL OF HIGH ENERGY PHYSICS, 2009, (11):
  • [8] Thermodynamics of (2+1)-dimensional black holes in Einstein-Maxwell-dilaton gravity
    Dehghani, M.
    PHYSICAL REVIEW D, 2017, 96 (04)
  • [9] Path integral for (2+1)-dimensional Shape Dynamics
    Gonzalez, A.
    Ocampo, H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2015, 30 (12):
  • [10] Gravity, antigravity and gravitational shielding in (2+1) dimensions
    Accioly, Antonio
    Helayel-Neto, Jose
    Lobo, Matheus
    CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (13)
12345