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

Eugenio Bianchi (1) , Wolfgang Wieland (2, 3)

1 Perimeter Institute for Theoretical Physics [Waterloo]
2 CPT - E4 Gravité quantique
3 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]

Eugenio Bianchi, Wolfgang Wieland. Horizon energy as the boost boundary term in general relativity and loop gravity. 2016. ⟨hal-01263762⟩