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Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity

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arxiv 2109.02816 v1 pith:XYZT6FVA submitted 2021-09-07 gr-qc

Bakhtiyor Narzilloev , Sanjar Shaymatov , Ibrar Hussain , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Cosimo Bambi This is my paper · ORCID
classification gr-qc
keywords anglegravitationalincreasevaluebendingblackconstantdimensional
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abstract

We study motion of test particles and photons in the vicinity of (2+1) dimensional Gauss-Bonnet (GB) BTZ black hole. We find that the presence of the coupling constant serves as an attractive gravitational charge, shifting the innermost stable circular orbits outward with respect to the one for this theory in 4 dimensions. Further we consider the gravitational lensing, to test the GB gravity in (2+1) dimensions and show that the presence of GB parameter causes the bending angle to grow up first with the increase of the inverse of closest approach distance, $u_0$, then have its maximum value for specific $u_0^*$, and then reduce until zero. We also show that increase in the value of the GB parameter makes the bending angle smaller and the increase in the absolute value of the negative cosmological constant produces opposite effect on this angle.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes

    gr-qc 2025-08 reject novelty 5.0 of 10

    A rotating Bumblebee black hole is shown to produce strong-lensing observables that deviate from Kerr, with EHT shadow data and an Einstein ring observation used to constrain the Lorentz-violating parameter ell.

  2. Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow

    astro-ph.GA 2025-07 conditional novelty 4.0 of 10

    Applying the strong deflection limit to the F(R)-Euler-Heisenberg-Rainbow black hole gives lensing observables that increase with the Euler-Heisenberg parameter and decrease with charge.

  3. Notes on solution phase space and BTZ black hole

    gr-qc 2024-11 accept novelty 3.0 of 10

    A detailed worked example showing that the solution phase space method reproduces the known mass, angular momentum, entropy, first law, and Smarr relation for the BTZ black hole and three-dimensional Kerr-dS spacetime.

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