Constraining the Kehagias-Sfetsos solution of the Horava-Lifshitz modified gravity with extrasolar planets

We consider the Kehagias-Sfetsos (KS) solution in the HořavaLifshitz 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 periods of the transiting extrasolar planet HD209458b “Osiris” to preliminarily obtain an orderof-magnitude lower bound on the KS dimensionless parameter ω0 ≥ 1.4× 10. 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.

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