3 papers
gr-qc2015
Stationary Point of the Hilbert Action Principle
James W. York
The Hilbert action principle for the Einstein equations has two boundary terms that must be subtracted in order to obtain a true stationary point. In this paper, I obtain both of t…
gr-qc2000
Action and Energy of the Gravitational Field
J. D. Brown, S. R. Lau, J. W. York
We present a detailed examination of the variational principle for metric general relativity as applied to a ``quasilocal'' spacetime region $\M$ (that is, a region that is both sp…
gr-qc1993
Microcanonical Action and the Entropy of a Rotating Black Hole
J. David Brown, James W. York
The authors have recently proposed a ``microcanonical functional integral" representation of the density of quantum states of the gravitational field. The phase of this real--time…