Quasi-Local Energy for AN Unusual Slicing of Static Spherically Symmetric Metrics

Details Quasi-Local Energy for AN Unusual Slicing of Static Spherically Symmetric Metrics Quasi-Local Energy for AN Unusual Slicing of Static Spherically Symmetric Metrics

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2146c&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

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Quasi-Local Energy, Hamiltonian

Scientific paper

We consider an unusual time slicing for the static spherically symmetric metrics. For the vacuum case this is the Schwarzschild metric in the Painlevé-Gullstrand form. For this slicing the spatial metric is fiat, and the lapse is just unity; all the dynamic geometry is encoded in what is supposed to be a gauge parameter: the shift vector. One consequence is that the standard ADM energy expression vanishes (contrary to the idea that vanishing energy should be Minkowski space). On the other hand, for an appropriate choice of reference and time displacement vector, our preferred quasilocal Hamiltonian boundary term expression gives a finite energy, namely 2M.

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