Detailed balance in Hořava-Lifshitz gravity

Gianluca Calcagni
Phys. Rev. D 81, 044006 – Published 4 February 2010

Abstract

We study Hořava-Lifshitz gravity in the presence of a scalar field. When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability. The four-dimensional theory is of a scalar-tensor type with a positive cosmological constant and gravity is nonminimally coupled with the scalar and its gradient terms. The scalar field has a double-well potential and, if required to play the role of the inflation, can produce a scale-invariant spectrum. The total action is rather complicated, and there is no analog of the Einstein frame where Lorentz invariance is recovered in the infrared. For these reasons it may be necessary to abandon detailed balance. We comment on open problems and future directions in anisotropic critical models of gravity.

  • Received 28 September 2009

DOI:https://doi.org/10.1103/PhysRevD.81.044006

©2010 American Physical Society

Authors & Affiliations

Gianluca Calcagni

  • Institute for Gravitation and the Cosmos, Department of Physics, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA

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Issue

Vol. 81, Iss. 4 — 15 February 2010

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