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arXiv · 1007.5361

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

Martin Engman·Gerardo A. Santana
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Abstract

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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BibTeXRIS

Martin Engman, Gerardo A. Santana. 2010-07-30. Spectral Geometry of Cosmological and Event Horizons for Kerr-Newman de Sitter metrics. https://arxiv.org/abs/1007.5361

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