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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2011 Jan 1|
|Event||Spanish Relativity Meeting: Gravity as a Crossroad in Physics, ERE 2010 - Granada, Spain|
Duration: 2010 Sep 6 → 2010 Sep 10
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)