253 citations · 471 across the 8 of their papers we have counts for
8 papers
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…
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…
Canonical Quasilocal Energy and Small Spheres
J. D. Brown, S. R. Lau, J. W. York
Consider the definition E of quasilocal energy stemming from the Hamilton-Jacobi method as applied to the canonical form of the gravitational action. We examine E in the standard "…
The Path Integral Formulation of Gravitational Thermodynamics
J. D. Brown, J. W. York
The first objective of this article is to show that the black hole partition function can be placed on a firm logical foundation by enclosing the black hole in a spatially finite "…
Effective Potential of a Black Hole in Thermal Equilibrium with Quantum Fields
David Hochberg, Thomas W. Kephart, James W. York
Expectation values of one-loop renormalized thermal equilibrium stress-energy tensors of free conformal scalars, spin- fermions and U(1) gauge fields on a Schwarzschil…
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…
Positivity of Entropy in the Semi-Classical Theory of Black Holes and Radiation
David Hochberg, Thomas Kephart, James W. York
Quantum stress-energy tensors of fields renormalized on a Schwarzschild background violate the classical energy conditions near the black hole. Nevertheless, the associated equilib…
The Microcanonical Functional Integral. I. The Gravitational Field
J. David Brown, James W. York
The gravitational field in a spatially finite region is described as a microcanonical system. The density of states is expressed formally as a functional integral over Lorentzi…