Consistency of canonical formulation of Horava gravity

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Abstract

Both the non-projectable and projectable version of Horava gravity face serious challenges. In the non-projectable version, the constraint algebra is seemingly inconsistent. The projectable version lacks a local Hamiltonian constraint, thus allowing for an extra graviton mode which can be problematic. A new formulation (based on arXiv:1007.1563) of Horava gravity which is naturally realized as a representation of the master constraint algebra (instead of the Dirac algebra) studied by loop quantum gravity researchers is presented. This formulation yields a consistent canonical theory with first class constraints; and captures the essence of Horava gravity in retaining only spatial diffeomorphisms as the physically relevant non-trivial gauge symmetry. At the same time the local Hamiltonian constraint is equivalently enforced by the master constraint.

Original languageEnglish
Article number012045
JournalJournal of Physics: Conference Series
Volume314
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1
EventSpanish Relativity Meeting: Gravity as a Crossroad in Physics, ERE 2010 - Granada, Spain
Duration: 2010 Sep 62010 Sep 10

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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