Year: 2009
Type: article
Abstract: 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.
Author: Shinji Mukohyama
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2147630737