Caustic singularity in Ho$\check {\textbf{r}}$ava-Lifshitz gravity

Details Caustic singularity in Ho$\check {\textbf{r}}$ava-Lifshitz gravity Caustic singularity in Ho$\check {\textbf{r}}$ava-Lifshitz gravity

2010-09-05

arxiv.org/abs/1009.0918v3

Int J Theor Phys (2012) 51:198-205

Physics

High Energy Physics

High Energy Physics - Theory

Accepted for publication in International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-011-0894-8

In this note we searched for a family of solutions with Caustic singularity in non relativistic-renormalizable Ho$\check {\textbf{r}}$ava-Lifshitz (HL)theory without the general covariant. We show that in infrared (IR) limit and with a deviation from $\lambda=1$ we have no caustic singularity. Also in ultraviolet (UV) regime and for Ricci flat 3-dimensional (3d) spaces and codimension 1 and for $\lambda\neq1$ the non linear terms should help bouncing this kind of most dangerous would be caustics. But if 3d curvature does not vanish, higher curvature terms do help caustics even in codimension one. Thus the arguments in [JCAP 0909:005,2009] are satisfied correctly.

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