Lattice Universes in 2+1-dimensional gravity

Details Lattice Universes in 2+1-dimensional gravity Lattice Universes in 2+1-dimensional gravity

2003-12-04

arxiv.org/abs/gr-qc/0312033v1

Class.Quant.Grav. 21 (2004) S97-S108

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages 7 figures, to appear in Festschrift for Vince Moncrief (CQG)

Scientific paper

10.1088/0264-9381/21/3/007

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 analogies between the flat and the negative curvature cases. This map also allows treatment of point particles and black holes on a similar footing.

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