2009/06/30 by Cristiano Germani, Alex Kehagias, Konstadinos Sfetsos · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conservative vector field #Cosmology and Gravitation Theories #Diffeomorphism #General relativity #Geometry #Gravitation #Graviton #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Theoretical physics #Theory of relativity #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/09/060
v4: Erratum added: explanation on the true dynamical fields of the relativistic theory added. The theory is interpreted as a Tensor-Scalar relativistic theory. Reference added. Version accepted in JHEP
openalex publication_date 2009/09/10 · arxiv created 2009/11/09 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms. In this respect, although being fully relativistic, it results to be locally anisotropic in the time-like and space-like directions defined by a family of irrotational observers. We show that this theory propagates generically three degrees of freedom: two of them are related to the four-dimensional diffeomorphism invariant graviton (the metric) and one is related to a propagating scalar mode. Finally, we note that in the present formulation, matter can be consistently coupled to gravity.