Strong gravitational lensing for black hole with scalar charge in massive gravity

TL;DR

This paper studies how scalar charge influences strong gravitational lensing around black holes in massive gravity, revealing significant effects on lensing observables and connecting to known black hole solutions.

Contribution

It introduces the impact of scalar charge in massive gravity on gravitational lensing, extending understanding beyond traditional black hole models.

Findings

Scalar charge affects photon sphere radius and deflection angles.

Lensing characteristics depend on black hole type and scalar charge.

Results encompass Schwarzschild and Reissner-Nordström black holes as special cases.

Abstract

We investigate the strong gravitational lensing for black hole with scalar charge in massive gravity. We find that the scalar charge and the type of the black hole significantly affect the radius of the photon sphere, deflection angle, angular image position, angular image separation, relative magnifications and time delay in strong gravitational lensing. Our results can be reduced to that of the Schwarzschild and Reissner-Nordstr$\ddot{o}$m black holes in some special cases.