Abstract
Hořava’s “Lifschitz point gravity” has many desirable features, but in its original incarnation one is forced to accept a nonzero cosmological constant of the wrong sign to be compatible with observation. We develop an extension of Hořava’s model that abandons “detailed balance” and regains parity invariance, and in dimensions exhibit all five marginal (renormalizable) and four relevant (super-renormalizable) operators, as determined by power counting. We also consider the classical limit of this theory, evaluate the Hamiltonian and supermomentum constraints, and extract the classical equations of motion in a form similar to the Arnowitt-Deser-Misner formulation of general relativity. This puts the model in a framework amenable to developing detailed precision tests.
- Received 2 May 2009
DOI:https://doi.org/10.1103/PhysRevLett.102.251601
©2009 American Physical Society