Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-26
JHEP 1001:093,2010
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, references added
Scientific paper
10.1007/JHEP01(2010)093
We investigate the dynamics of a scalar field governed by the Lifshitz-type action which should appear naturally in Horava-Lifshitz gravity. The wave of the scalar field may propagate with any speed without an upper bound. To preserve the causality, the action cannot have a generic form. Due to the superluminal propagation, a formation of a singularity may cause the breakdown of the predictability of the theory. To check whether such a catastrophe could occur in Horava-Lifshitz gravity, we investigate the dynamics of a dust. It turns out that the dust does not collapse completely to form a singularity in a generic situation, but expands again after it attains a maximum energy density.
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