Testing gravity of a regular and slowly rotating phantom black hole by quasi-periodic oscillations

TL;DR

This paper extends a regular phantom black hole model to include slow rotation, analyzes its effects on black hole properties and quasi-periodic oscillations, and constrains the model parameters using observational data from GRO J1655-40.

Contribution

It introduces a slowly rotating phantom black hole solution and constrains its parameters using QPO observations, showing the model cannot be excluded by current data.

Findings

Phantom field reduces the angular velocity of the event horizon.

Phantom field suppresses black hole super-radiation.

Constraints on phantom parameter b from GRO J1655-40 data.

Abstract

We extend firstly the regular phantom black hole solution to a slowly rotating black hole case and find that the phantom field depresses the angular velocity of the event horizon and suppresses the super-radiation of black hole. We also probe the dependence of quasi-periodic oscillations frequencies in relativistic precession model on the phantom parameter. With the observation data of GRO J1655-40, we make a constraint on the parameters of the regular and slowly rotating phantom black hole. Our results show that although the best-fit value of the phantom parameter $b$ is small, the allowed value of $b$ in the $1\sigma$ region is $b<0.619$, which means that the phantom theoretical model can not be excluded by the constraint from quasi-periodic oscillations with the observation data of GRO J1655-40.