Hiding Lorentz Invariance Violation with MOND

Abstract

Hořava gravity is a attempt to construct a renormalizable theory of gravity by breaking the Lorentz Invariance of the gravitational action at high energies. The underlying principle is that Lorentz Invariance is an approximate symmetry and its violation by gravitational phenomena is somehow hidden to present limits of observational precision. Here I point out that a simple modification of the low energy limit of Hořava gravity in its non-projectable form can effectively camouflage the presence of a preferred frame in regions where the Newtonian gravitational field gradient is higher than $c{H}_0$; this modification results in the phenomenology of MOND at lower accelerations.

5 pages, revised field equation, discussion added on potentials and dark energy, in press PRD

References in corpus (10)

• Quantum Gravity at a Lifshitz Point
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
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• Bimetric MOND gravity
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Cited by in corpus (16)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• GW170817 Falsifies Dark Matter Emulators
• MOND theory
• MOND vs. dark matter in light of historical parallels
• Constraining the Preferred-Frame ${\alpha }_1$, ${\alpha }_2$ parameters from Solar System planetary precessions
• Noncovariance at low accelerations as a route to MOND
• Phenomenology of Dark Matter via a Bimetric Extension of General Relativity
• Does GW170817 falsify MOND?
• Tripotential MOND theories
• Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology
• Dipolar Dark Matter as an Effective Field Theory
• Phenomenology of MOND and gravitational polarization
• Structure Formation in Nonlocal MOND
• Aether scalar tensor theory: Hamiltonian Formalism
• Stealth black holes in Aether Scalar Tensor theory
• Principle action for particles faster than light