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GT4 - Inertial Forces, Optical Metrics and Particle Motion Properties

Speaker_

Chen, Chiang-mei

Co-autors

J.M. Nester

 Talk_

A quasilocal energy for an unusual slicing of static spherically symmetric metrics

Abstract_

We consider an unusual time slicing for the static spherically symmetric metrics. For the vacuum case this is the Schwarzschild metric in the Painleve-Gullstrand form. For this slicing the spatial metric is flat, and the shift 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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