1205.5325 (Eugenio Bianchi et al.)

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

Eugenio Bianchi, Wolfgang Wieland

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.

View original: http://arxiv.org/abs/1205.5325