Geodesic structure and gravitational lensing of a non-GR (2+1)-dimensional black hole: Comparison with the BTZ solution

Authors

• Gamal Nashed, The British University in Egypt
• A Eid, Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

Document Type

Article

Publication Date

1-2025

Abstract

We study a (2+1)-dimensional black hole solution distinct from the Bañados–Teitelboim–Zanelli (BTZ) black hole of general relativity. Geodesic equations for massive and massless particles are derived, and the corresponding effective potential is analyzed. The deflection angle of light is computed in both weak and strong field limits. Results are compared with the BTZ of Einstein general relativity, revealing notable differences in orbital structure, photon sphere radius, and lensing behavior, which may serve as potential observational signatures of non-GR black holes in lower-dimensional spacetimes.

Recommended Citation

Nashed, Gamal and Eid, A, "Geodesic structure and gravitational lensing of a non-GR (2+1)-dimensional black hole: Comparison with the BTZ solution" (2025). Centre for Theoretical Physics and Computations. 394.
https://buescholar.bue.edu.eg/centre_theoretical_physics/394