Is it possible to relate MOND with Horava Gravity?

Abstract

In this work we present a scalar field theory invariant under space-time anisotropic transformations with a dynamic exponet $z$. It is shown that this theory possess symmetries similar to Horava gravity and that in the limit $z=0$ the equations of motion of the non-relativistic MOND theory are obtained. This result allow us to conjecture the existence of a Horava type gravity that in the limit $z=0$ is consistent with MOND.

9 pages,no figures. Minor changes. References added

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Bimetric MOND gravity
• The Tensor-Vector-Scalar theory and its cosmology
• TeVeS gets caught on caustics
• Alternative proposal to modified Newtonian dynamics

Cited by in corpus (2)

• Electrodynamics a la Horava
• Constraints on Flows in Horava-Lifshitz Gravity by Classical Solutions