A new scalartensor realization of HořavaLifshitz gravity
Abstract
We discuss a new covariant scalartensor system aimed to realise Hořava proposal for a powercounting renormalizable theory of gravity, with the special feature of not propagating scalar degrees of freedom in an appropriate gauge. The theory is characterized by a new symmetry acting on the metric, that can protect the particular form of its interactions. The setup spontaneously breaks Lorentz symmetry by means of a timelike scalar field profile. By selecting a unitary gauge for the scalar, we show that this theory describes the dynamics of a spin two degree of freedom, whose equations of motion contain two time derivatives and up to six spatial derivatives. We analytically determine asymptotically flat, spherically symmetric configurations, showing that there exists a branch of solutions physically equivalent to spherically symmetric configurations in general relativity, also in the presence of matter fields.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2019
 DOI:
 10.1088/13616382/ab0a4b
 arXiv:
 arXiv:1805.12010
 Bibcode:
 2019CQGra..36g5014C
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 Added sections and several improvements, version accepted for publication. 23 pages, 1 figure