Thursday, March 15, 2012

1112.3301 (Jack Gegenberg et al.)

Local Hamiltonian for Spherically Symmetric Collapse: Geometrodynamics
Approach
   [PDF]

Jack Gegenberg, G. Kunstatter
Recently a {\it local} true (completely gauge fixed) Hamiltonian for spherically symmetric collapse was derived in terms of Ashtekar variables. We show that such a local Hamiltonian follows directly from the geometrodynamics of gravity theories that obey a Birkhoff theorem and possess a mass function that is constant on the constraint surface in vacuum. In addition to clarifying the geometrical content, our approach has the advantage that it can be directly applied to a large class of spherically symmetric and 2D gravity theories, including $p$-th order Lovelock gravity in D dimensions. The resulting expression for the true local Hamiltonian is universal and remarkably simple in form.
View original: http://arxiv.org/abs/1112.3301

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