Horizon energy and angular momentum from a Hamiltonian perspective

Details Horizon energy and angular momentum from a Hamiltonian perspective Horizon energy and angular momentum from a Hamiltonian perspective

2005-05-11

arxiv.org/abs/gr-qc/0505049v2

Class.Quant.Grav. 22 (2005) 4515-4550

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

39 pages, 3 figures, Final Version : content essentially unchanged but many small improvements made in response to referees, a

Scientific paper

10.1088/0264-9381/22/21/006

Classical black holes and event horizons are highly non-local objects, defined in terms of the causal past of future null infinity. Alternative, (quasi)local definitions are often used in mathematical, quantum, and numerical relativity. These include apparent, trapping, isolated, and dynamical horizons, all of which are closely associated to two-surfaces of zero outward null expansion. In this paper we show that three-surfaces which can be foliated with such two-surfaces are suitable boundaries in both a quasilocal action and a phase space formulation of general relativity. The resulting formalism provides expressions for the quasilocal energy and angular momentum associated with the horizon. The values of the energy and angular momentum are in agreement with those derived from the isolated and dynamical horizon frameworks.

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