4-dimensional spacetimes from 2-dimensional conformal null data

Rituparno Goswami; George F. R. Ellis

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arXiv · 1511.05700

4-dimensional spacetimes from 2-dimensional conformal null data

Rituparno Goswami·George F. R. Ellis

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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.

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BibTeX RIS

Rituparno Goswami, George F. R. Ellis. 2017-02-02. 4-dimensional spacetimes from 2-dimensional conformal null data. https://arxiv.org/abs/1511.05700

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