Horizon energy as the boost boundary term in general relativity and loop gravity

Abstract

We show that the near-horizon energy introduced by Frodden, Ghosh and Perez arises from the action for general relativity as a horizon boundary term. Spin foam variables are used in the analysis. The result provides a derivation of the horizon boost Hamiltonian introduced by one of us to define the dynamics of the horizon degrees of freedom, and shows that loop gravity provides a realization of the horizon Schrodinger equation proposed by Carlip and Teitelboim.

3 pages, 1 figure

References in corpus (2)

• Entropy of Non-Extremal Black Holes from Loop Gravity
• General relativity as the equation of state of spin foam

Cited by in corpus (2)

• The scaling of black hole entropy in loop quantum gravity
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity