4-dimensional spacetimes from 2-dimensional conformal null data
General Relativity and Quantum Cosmology
2017-02-03 v2 High Energy Physics - Theory
Abstract
In this paper we investigate whether the holographic principle proposed in string theory has a classical counterpart in general relativity theory. We show that there is a partial correspondence: at least in the case of vacuum Petrov type D spacetimes that admit a non-trivial Killing tensor, which encompass all the astrophysical black hole spacetimes, there exists a one to one correspondence between gravity in bulk and a two dimensional classical conformal scalar field on a null boundary.
Cite
@article{arxiv.1511.05700,
title = {4-dimensional spacetimes from 2-dimensional conformal null data},
author = {Rituparno Goswami and George F. R. Ellis},
journal= {arXiv preprint arXiv:1511.05700},
year = {2017}
}
Comments
7 pages, 2 Figures, Revtex4, Title changed, To appear in Classical and Quantum Gravity