Two-Dimensional Black Holes and Planar General Relativity
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/9407024,
title = {Two-Dimensional Black Holes and Planar General Relativity},
author = {Jose' P. S. Lemos},
journal= {arXiv preprint arXiv:gr-qc/9407024},
year = {2010}
}
Comments
11 pages, plaintex