Spectral Geometry of Cosmological and Event Horizons for Kerr-Newman de Sitter metrics

Details Spectral Geometry of Cosmological and Event Horizons for Kerr-Newman de Sitter metrics Spectral Geometry of Cosmological and Event Horizons for Kerr-Newman de Sitter metrics

2010-07-30

arxiv.org/abs/1007.5361v3

Physics

Mathematical Physics

Replacement of erroneous version 2

Scientific paper

We study the Laplace spectra of the intrinsic instantaneous metrics on the event and cosmological horizons of a Kerr-Newman de Sitter space-time and prove that the spectral data from these horizons uniquely determine the space-time. This is accomplished by exhibiting formulae relating the parameters of the space-time metric to the traces of invariant and equivariant Green's operators associated with these Laplacians. In particular, an interesting explicit formula for the cosmological constant is found.

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