Constraining the Kehagias-Sfetsos Solution of the Ho!ava-Lifshitz Modified Gravity with Extrasolar Planets

ABSTRACT

We consider the Kehagias-Sfetsos (KS) solution in the Ho!ava-Lifshitz gravity that is the analog of the general relativistic Schwarzschild black hole. In the weak-field and slow-motion approximation, we, first, work out the correction to the third Kepler law of a test particle induced by such a solution. Then, we compare it to the phenomenologically determined orbital period of the transiting extrasolar planet HD209458b “Osiris” to preliminarily obtain an order-ofmagnitude lower bound on the KS dimensionless parameter ω0 ≥ 1.4 × 10-18. As suggestions for further analyses, the entire data set of HD209458b should be re-processed by explicitly modeling KS gravity as well, and one or more dedicated solve-for parameter(s) should be estimated.