Strong field gravitational lensing in the deformed H\v{o}rava-Lifshitz black hole

TL;DR

This paper investigates the strong gravitational lensing effects near a deformed Hořava-Lifshitz black hole, providing theoretical predictions for observable differences from Reissner-Nordström black holes that could be tested with future astronomical observations.

Contribution

It introduces a detailed analysis of strong field lensing in the deformed Hořava-Lifshitz black hole, including calculations of observables and comparison with Reissner-Nordström black holes, highlighting potential observational signatures.

Findings

Angular position decreases with parameter α

Magnification and separation vary distinctly from Reissner-Nordström black holes

Potential for future astronomical detection of black hole differences

Abstract

Adopting the strong field limit approach, we studied the properties of strong field gravitational lensing in the deformed H\v{o}rava-Lifshitz black hole and obtained the angular position and magnification of the relativistic images. Supposing that the gravitational field of the supermassive central object of the galaxy described by this metric, we estimated the numerical values of the coefficients and observables for gravitational lensing in the strong field limit. Comparing with the Reissner-Norstr\"{om} black hole, we find that with the increase of parameter $\alpha$, the angular position $\theta_{\infty}$ decreases more slowly and $r_m$ more quickly, but angular separation $s$ increases more rapidly. This may offer a way to detect the effects of to distinguish a deformed H\v{o}rava-Lifshitz black hole from a Reissner-Norstr\"{om} black hole by the astronomical instruments in the future.