Strong gravitational lensing and Quasiperiodic oscillations as a probe for an electrically charged Lorentz symmetry-violating black hole

TL;DR

This paper investigates how electric charge and Lorentz symmetry breaking influence strong gravitational lensing and quasiperiodic oscillations around a charged black hole, providing bounds on the Lorentz violation parameter from astrophysical observations.

Contribution

It introduces a combined analysis of charge and Lorentz symmetry breaking effects on black hole observables, deriving bounds from shadow size and QPO data.

Findings

Charge and Lorentz violation effects can cancel each other in lensing observables.

Bounds on Lorentz violation parameter are obtained from SMBH shadow observations.

Bounds on both charge and Lorentz violation parameters are derived from microquasar QPO data.

Abstract

This study examines the combined effect of electric charge and Lorentz symmetry breaking (LSB) on the observables of strong gravitational lensing (SGL) and the dynamics of quasiperiodic oscillations (QPOs) around an electrically charged, Lorentz symmetry-violating (LV) black hole (QKR BH). We first explore the SGL, which unravels an interesting effect that the two combined generate. We find cases where the competing effect of charge and LV cancels each other, leaving the underlying quantity unchanged from that of a \s BH. We find bounds on the LV parameter utilizing observations related to the shadow angular size of supermassive black holes (SMBHs) $M87^*$ and $SgrA^*$. No bound could be gleaned for the charge from these shadow observations. Observations of QPOs in microquasars provide an alternative method to probe our model and to extract bounds on its parameters. We use experimental data for the microquasars $GRO J1655-40$ and $XTE J1550-564$. Here we obtain bounds on both parameters. Our results provide deeper insights into the interplay between charge and LSB in the strong-gravity regime.