A proposal for covariant renormalizable field theory of gravity

Abstract

The class of covariant gravity theories which have nice ultraviolet behavior and seem to be (super)-renormalizable is proposed. The apparent breaking of Lorentz invariance occurs due to the coupling with the effective fluid which is induced by Lagrange multiplier constrained scalar field. Spatially-flat FRW cosmology for such covariant field gravity may have accelerating solutions. Renormalizable versions of more complicated modified gravity which depends on Riemann and Ricci tensor squared may be constructed in the same way.

LaTeX, 6 pages, published version, mistypes are corrected, refs. are added

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Horava-Lifshitz Cosmology
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Cosmology of the Lifshitz universe
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Holographic dark energy with varying gravitational constant
• A dynamical inconsistency of Horava gravity
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity

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