Notes on Derivation of 'Generalized Gravitational Entropy'

Abstract

An alternative derivation of generalized gravitational entropy associated to co-dimension 2 'entangling' hypersurfaces is given. The approach is similar to the Jacobson-Myers 'Hamiltonian' method and it does not require computations on manifolds with conical singularities. It is demonstrated that the entangling surfaces should be extrema of the entropy functional. When our approach is applied to Lovelock theories of gravity the generalized entropy formula coincides with results derived by other methods.

9 pages, discussion of singularities in (3.1) is corrected

References in corpus (3)

• Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity
• Entanglement Entropy in Quantum Gravity and the Plateau Problem
• On the Architecture of Spacetime Geometry

Cited by in corpus (1)

• A perturbative study on the analytic continuation for generalized gravitational entropy