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Dark matter as integration constant in Horava-Lifshitz gravity · Around

2009

Dark matter as integration constant in Horava-Lifshitz gravity

Mukohyama, Shinji

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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.

Built on

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Then

N. Arkani-Hamed, H. C. Cheng, M. A. Luty and S. Mukohyama, “Ghost condensation and a consistent infrared modification of gravity,” JHEP 0405
2004
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N. Arkani-Hamed, H. C. Cheng, M. A. Luty, S. Mukohyama and T. Wiseman, “Dynamics of Gravity in a Higgs Phase,” JHEP 0701
2007
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P. Horava, “Membranes at Quantum Criticality,” JHEP 0903
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2009
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S. Chen and J. Jing, “Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole,” arXiv:0905.2055 [gr-qc]
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2055
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