Canonical structure of topologically massive gravity with a cosmological constant

被引:42
|
作者
Blagojevic, M. [1 ]
Cvetkovic, B. [1 ]
机构
[1] Inst Phys, Belgrade 11001, Serbia
来源
关键词
Classical Theories of Gravity; Space-Time Symmetries; SYMMETRIES; DYNAMICS;
D O I
10.1088/1126-6708/2009/05/073
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 study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac's method for constrained Hamiltonian systems. It is found that the dimension of the physical phase space is two per spacetime point, which corresponds to a single Lagrangian degree of freedom. The analysis of the AdS asymptotic region reveals a remarkable relation to 3D gravity with torsion: in the limit of vanishing torsion, the conserved charges and asymptotic symmetries of the two theories become identical.
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页数:21
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