Dark matter as integration constant in Horava-Lifshitz gravity

TL;DR

This paper demonstrates that in Horava-Lifshitz gravity, a component resembling cold dark matter naturally arises as an integration constant due to the global Hamiltonian constraint, allowing classical solutions to mimic general relativity with dark matter.

Contribution

It reveals that dark matter can emerge as an integration constant in Horava-Lifshitz gravity, providing a novel explanation within a non-relativistic gravitational framework.

Findings

Dark matter component appears as an integration constant.

Solutions mimic general relativity plus cold dark matter.

Global Hamiltonian constraint allows richer solution space.

Abstract

In the non-relativistic theory of gravitation recently proposed by Horava, the Hamiltonian constraint is not a local equation satisfied at each spatial point but an equation integrated over a whole space. The global Hamiltonian constraint is less restrictive than its local version, and allows a richer set of solutions than in general relativity. We show that a component which behaves like pressureless dust emerges as an "integration constant" of dynamical equations and momentum constraint equations. Consequently, classical solutions to the infrared limit of Horava-Lifshitz gravity can mimic general relativity plus cold dark matter.