Testing gravity of a disformal Kerr black hole in quadratic degenerate higher-order scalar-tensor theories by quasi-periodic oscillations

Abstract

By using the relativistic precession model, we have studied frequencies of quasi-periodic oscillations in the spacetime of a disformal Kerr black hole. This black hole owns an extra disformal parameter and belongs to a class of non-stealth solutions in quadratic degenerate higher-order scalar-tensor (DHOST) theories. Our result shows that only the periastron precession frequency is related to the disformal parameter, while the azimuthal frequency and the nodal precession frequency are identical with those in the usual Kerr black hole in general relativity. Combing with the observation data of GRO J1655-40, we fit parameters of the disformal Kerr black hole, and find that the disformal parameter $\alpha$ is almost negative in the range of $1\sigma$, which implies the negative disformal parameter $\alpha$ is favored by the observation data of GRO J1655-40.

13 pages, 2 figures; Accepted by JCAP for publication

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• Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations
• Invertible disformal transformations with higher derivatives
• Constraints on the rotating self-dual black hole with quasi-periodic oscillations
• Parameter constraints on a black hole with Minkowski core through quasiperiodic oscillations
• Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime
• Testing General Relativity using Quasi-Periodic Oscillations from X-ray Black Holes: XTE J1550-564 and GRO J1655-40
• Properties of general stationary axisymmetric spacetimes: circularity and beyond
• Observational constraints on the Kerr and its several single-parameter modified spacetimes using quasi-periodic oscillation data
• Testing the Non-circularity of the Spacetime around Sagittarius A* with Orbiting Pulsars