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arxiv 2508.08889 v2 pith:KYFK64F4 submitted 2025-08-12 gr-qc hep-th

Optical Phenomena in a Non-Commutative Kalb-Ramond Black Hole Spacetime

classification gr-qc hep-th
keywords deflectionphotonangleblackfeaturesgravitationalholekalb-ramond
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the literature [arXiv:2507.17390]. Accordingly, null geodesics are solved numerically to trace photon paths; the photon sphere and shadow are determined. From Event Horizon Telescope (EHT) measurements of $Sgr A^{*}$, constraints on the parameters $\Theta$ (which encapsulates the non-commutativity) and $\ell$ (the Lorentz-violating parameter) are established. To examine the stability of critical orbits and the deflection angle (gravitational lensing) in the weak field scenario, we compute the Gaussian curvature in order to use the Gauss-Bonnet theorem. Moreover, the deflection angle has been calculated as well in the strong deflection limit. Furthermore, Lensing observables are estimated using EHT data for $Sgr A^{*}$ and $M87$. Topological features such as the topological photon sphere are also explored.

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Cited by 1 Pith paper

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

  1. The Flight of the Bumblebee in a Non-Commutative Geometry: A New Black Hole Solution

    gr-qc 2025-09 unverdicted novelty 5.0

    A new black hole metric in non-commutative bumblebee gravity is constructed, with its shadow and lensing observables used to constrain the non-commutativity parameter against EHT and Solar System data.