Mimetic Horava Gravity

Abstract

We show that the scalar field of mimetic gravity could be used to construct diffeomorphism invariant models that reduce to Horava gravity in the synchronous gauge. The gradient of the mimetic field provides a timelike unit vector field that allows to define a projection operator of four-dimensional tensors to three-dimensional spatial tensors. Conversely, it also enables us to write quantities invariant under space diffeomorphisms in fully covariant form without the need to introduce new propagating degrees of freedom.

arXiv comment8 pages, comments about renormalizability of the model added. Matches version to be published in Physics Letters B

References in corpus (10)

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• On the recently proposed Mimetic Dark Matter
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• Nonsingular Black Hole
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Cited by in corpus (12)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Event Horizon Telescope observations exclude compact objects in baseline mimetic gravity
• Two-field mimetic gravity revisited and Hamiltonian analysis
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Emergent scenario in mimetic gravity
• Non-flat Universes and Black Holes in Asymptotically Free Mimetic Gravity
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Extensions of two-field mimetic gravity
• Higher dimensional charged static and rotating solutions in mimetic gravity
• Supergravity with mimetic dark matter
• Emergent Dark Matter and Dark Energy from a Lattice Model
• Mimetic Horava Gravity and Surface terms