Dark matter as integration constant in Horava-Lifshitz gravity

By S. Mukohyama. 2009

195 citations recorded by the source corpus.

In the nonrelativistic theory of gravitation recently proposed by Ho\ifmmode \check{r}\else \v{r}\fi{}ava, 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 Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity can mimic general relativity plus cold dark matter.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/26875ea7266748e092e9fdb6c408b35ab55177e4

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Citations in the corpus

Modified Gravity and Cosmology (2011, background): “For the projectable theory it corresponds to the “dark matter integration constant” [924], with C(t) → constant at low energies.”
The black hole and cosmological solutions in IR modified Hořava gravity (2009, methodology): “Since then various aspects and solutions have been studied [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29].”
Quantum gravity without Lorentz invariance (2009, background): “Subsequent to the original appearance of this article, Mukohyama [60] has advocated the viewpoint that, in such a setting, the integrated Hamiltonian constraint can be re-interpreted as the ordinary Friedmann equation with the addition of “dark dust” that is comoving with the preferred foliation.”
Models of non-relativistic quantum gravity: the good, the bad and the healthy (2010, methodology): “But this equation in the projectable model has the form of a Hamiltonian constraint integrated over the whole space and does not affect the local physics, cf. [ 40 ].”
Spherical collapse in quintessence models with zero speed of sound (2009, methodology): “This corresponds to the formation of cusps in the quintessence field, similarly to what discussed in the ghost condensate case [36] and more recently in the context of Hořava-Lifshift gravity [46, 47].”
Hořava gravity at a Lifshitz point: A progress report (2017, background): “With the projectability condition, the Hamiltonian constraint becomes global, from which it was shown that a component which behaves like dark matter emerges as an “integration constant” of dynamical equations and momentum constraint equations [114].”