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4-dimensional spacetimes from 2-dimensional conformal null data
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DOI：10.1088/1361-6382/aa5dc0.png)
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Abstract
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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.
Keywords:
general relativity
initial value problem
conformal field
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