Solar system tests of Ho\v{r}ava-Lifshitz gravity

Understand

Recently, a renormalizable gravity theory with higher spatial derivatives in four dimensions was proposed by Ho\v{r}ava.

• The theory reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but it has improved UV behaviors.
• The spherically symmetric black hole solutions for an arbitrary cosmological constant, which represent the generalization of the standard Schwarzschild-(A)dS solution, has also been obtained for the Ho\v{r}ava-Lifshitz theory.
• The exact asymptotically flat Schwarzschild type solution of the gravitational field equations in Ho\v{r}ava gravity contains a quadratic increasing term, as well as the square root of a fourth order polynomial in the radial coordinate, and it depends on one arbitrary integration constant.