Two-Dimensional Black Holes and Planar General Relativity

Details Two-Dimensional Black Holes and Planar General Relativity Two-Dimensional Black Holes and Planar General Relativity

1994-07-20

arxiv.org/abs/gr-qc/9407024v1

Class.Quant.Grav.12:1081-1086,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, plaintex

Scientific paper

10.1088/0264-9381/12/4/014

The Einstein-Hilbert action with a cosmological term is used to derive a new action in 1+1 spacetime dimensions. It is shown that the two-dimensional theory is equivalent to planar symmetry in General Relativity. The two-dimensional theory admits black holes and free dilatons, and has a structure similar to two-dimensional string theories. Since by construction these solutions also solve Einstein's equations, such a theory can bring two-dimensional results into the four-dimensional real world. In particular the two-dimensional black hole is also a black hole in General Relativity.

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