4-dimensional spacetimes from 2-dimensional conformal null data. (16th February 2017)

• Record Type: Journal Article
• Authors: Goswami, Rituparno; Ellis, George F R
• Is Part Of: Classical and quantum gravity. Volume 34:Number 5(2017:Mar.)
• Publication Date: 2017-02-16
• Subjects: general relativity -- initial value problem -- conformal field; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aa5dc0
• Languages: English
• ISSNs: 0264-9381

Abstract

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 2-dimensional classical conformal scalar field on a null boundary.