2018/05/31 by Javier Chagoya, Gianmassimo Tasinato
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Equations of motion #Gauge theory #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Realization (probability) #Rotational symmetry #Scalar (mathematics) #Scalar field #Symmetry (geometry) #Unitary state #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/ab0a4b
Added sections and several improvements, version accepted for publication. 23 pages, 1 figure
openalex created_date 2018/06/13 · openalex publication_date 2019/02/25 · arxiv created 2019/02/27 · arxiv updated 2019/02/28 · openalex updated_date 2026/08/05
Abstract We discuss a new covariant scalar–tensor system aimed to realise Hořava proposal for a power-counting 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 set-up spontaneously breaks Lorentz symmetry by means of a time-like 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.