HOŘAVA–LIFSHITZ GRAVITY: TIGHTER CONSTRAINTS FOR THE KEHAGIAS–SFETSOS SOLUTION FROM NEW SOLAR SYSTEM DATA

We analytically work out the perturbation Δρ induced by the Kehagias–Sfetsos (KS) spacetime solution of the Hořava–Lifshitz (HL) modified gravity at long distances on the two-body range ρ for a pair of test particles A and B orbiting the same mass M. We apply our results to the most recently obtained range residuals δρ for some planets of the solar system (Mercury, Mars, Saturn) ranged from the Earth to effectively constrain the dimensionless KS parameter ψ 0 for the Sun. We obtain [Formula: see text] (Mercury), [Formula: see text] (Mars), and [Formula: see text] (Saturn). Such lower bounds are tighter than others existing in the literature by several orders of magnitude. We also preliminarily obtain [Formula: see text] for the system constituted by the S2 star orbiting the supermassive black hole (SBH) in the center of the galaxy.

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