Timelike Geodesic Motion in Horava-Lifshitz Spacetime

Understand

Recently Ho$\breve{r}$ava proposed a non-relativistic renormalisable theory of gravitation.

• When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three dimensions, and the geometry of the Cotton tensor.
• At long distances, this theory is expected to flow to the relativistic value $\lambda = 1$, and could therefore serve as a possible candidate for a UV completion of Einstein general relativity or an infrared modification thereof.
• In this paper under allowing the lapse function to depend on the spatial coordinates $x^i$ as well as $t$, we obtain the spherically symmetric solutions.