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arXiv · 0905.3563

Dark matter as integration constant in Horava-Lifshitz gravity

Shinji Mukohyama
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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.

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Shinji Mukohyama. 2009-08-13. Dark matter as integration constant in Horava-Lifshitz gravity. https://doi.org/10.1103/physrevd.80.064005

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