Black hole entropy and Lorentz-diffeomorphism Noether charge

作者:Jacobson Ted*; Mohd Arif
来源:PHYSICAL REVIEW D, 2015, 92(12): 124010.
DOI:10.1103/PhysRevD.92.124010

摘要

We show that, in the first or second order orthonormal frame formalism, black hole entropy is the horizon Noether charge for a combination of diffeomorphism and local Lorentz symmetry involving the Lie derivative of the frame. The Noether charge for diffeomorphisms alone is unsuitable, since a regular frame cannot be invariant under the flow of the Killing field at the bifurcation surface. We apply this formalism to Lagrangians polynomial in wedge products of the frame field 1-form and curvature 2-form, including general relativity, Lovelock gravity, and "topological" terms in four dimensions.

  • 出版日期2015-12-8