Junction Conditions in 2 + 1-Dimensional Gravity
نویسندگان
چکیده
منابع مشابه
Global constants in (2+1)–dimensional gravity
The extended conformal algebra so(2, 3) of global, quantum, constants of motion in 2+1 dimensional gravity with topology R × T 2 and negative cosmological constant is reviewed. It is shown that the 10 global constants form a complete set by expressing them in terms of two commuting spinors and the Dirac γ matrices. The spinor components are the globally constant holonomy parameters, and their r...
متن کاملQuantum Holonomies in (2+1)-Dimensional Gravity
We describe an approach to the quantisation of (2+1)–dimensional gravity with topology IR×T 2 and negative cosmological constant, which uses two quantum holonomy matrices satisfying a q–commutation relation. Solutions of diagonal and upper–triangular form are constructed, which in the latter case exhibit additional, non–trivial internal relations for each holonomy matrix. Representations are co...
متن کاملLattice Universes in 2+1-dimensional gravity
Lattice universes are spatially closed space-times of spherical topology in the large, containing masses or black holes arranged in the symmetry of a regular polygon or polytope. Exact solutions for such spacetimes are found in 2+1 dimensions for Einstein gravity with a non-positive cosmological constant. By means of a mapping that preserves the essential nature of geodesics we establish analog...
متن کاملTime in (2+1)-Dimensional Quantum Gravity
General relativity in three spacetime dimensions is used to explore three approaches to the “problem of time” in quantum gravity: the internal Schrödinger approach with mean extrinsic curvature as a time variable, the Wheeler-DeWitt equation, and covariant canonical quantization with “evolving constants of motion.” (To appear in Proc. of the Lanczos Centenary Conference, Raleigh, NC, December 1...
متن کاملTopology Change in (2+1)-Dimensional Gravity
In (2+1)-dimensional general relativity, the path integral for a manifold M can be expressed in terms of a topological invariant, the Ray-Singer torsion of a flat bundle over M . For some manifolds, this makes an explicit computation of transition amplitudes possible. In this paper, we evaluate the amplitude for a simple topology-changing process. We show that certain amplitudes for spatial top...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1991
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp/86.4.841