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 (6)

• The Dynamics of General Relativity
• The Spin Foam Approach to Quantum Gravity
• Entropy of Non-Extremal Black Holes from Loop Gravity
• A local first law for black hole thermodynamics
• Quantum Gravity Hamiltonian for Manifolds with Boundary
• General relativity as the equation of state of spin foam

Cited by in corpus (15)

• The twistorial structure of loop-gravity transition amplitudes
• Imaginary action, spinfoam asymptotics and the 'transplanckian' regime of loop quantum gravity
• Mechanical laws of the Rindler horizon
• Equipartition energy, Noether energy and boundary term in gravitational action
• Gravitational Energy, Local Holography and Non-equilibrium Thermodynamics
• Hamiltonian spinfoam gravity
• Corner symmetry and quantum geometry
• The scaling of black hole entropy in loop quantum gravity
• The thermodynamics of quantum spacetime histories
• The boundary is mixed
• Weakly Isolated Horizons: First order actions and gauge symmetries
• Holographic relations in loop quantum gravity
• Thermodynamics of Quantum Isolated Horizons with model Hamiltonians
• Stability of Quantum Isolated Horizon : A Local Observer's View
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity