Journal
PHYSICAL REVIEW D
Volume 92, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.92.124010
Keywords
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Funding
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research Innovation
- NSF [PHY-0903572, PHY-1407744, PHY11-25915]
- John Templeton Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1407744] Funding Source: National Science Foundation
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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.
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