Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-10
Phys.Rev.D84:104019,2011
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, no figures. v2: added references, corrected minor typographical errors. v3: matches PRD version
Scientific paper
10.1103/PhysRevD.84.104019
The Hamiltonian formulation of Horava gravity is derived. In a closed universe the Hamiltonian is a sum of generators of gauge symmetries, the foliation-preserving diffeomorphisms, and vanishes on shell. The scalar constraint is second class, except for a global, first-class part that generates time reparametrizations. A reduced phase space formulation is given in which the local part of the scalar constraint is solved formally for the lapse as a function of the 3 metric and its conjugate momentum. In the infrared limit the scalar constraint is linear in the square root of the lapse. For asymptotically flat boundary conditions the Hamiltonian is a sum of bulk constraints plus a boundary term that gives the total energy. This energy expression is identical to the one for Einstein-aether theory which, for static spherically symmetric solutions, is the usual Arnowitt-Deser-Misner energy of general relativity with a rescaled Newton constant.
Donnelly William
Jacobson Ted
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