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

Autor:	Engman, Martin, Santana, Gerardo A.
Rok vydání:	2010
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology Mathematics - Differential Geometry 58J50 83C15 83C57
Druh dokumentu:	Working Paper
Popis:	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. Comment: Replacement of erroneous version 2
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.5361 Zobrazit plný text záznamu View this record from Arxiv