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Relativistic Images in Randall-Sundrum II Braneworld Lensing

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arxiv 0912.2081 v2 pith:6RJELGTT submitted 2009-12-10 gr-qc astro-ph.COhep-ph

classification gr-qcastro-ph.COhep-ph
keywords blackholesbraneworldlensingmetrictidalchargeprimordial
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In this paper, we explore the properties of gravitational lensing by black holes in the Randall-Sundrum II braneworld. We use numerical techniques to calculate lensing observables using the Tidal Reissner-Nordstrom (TRN) and Garriga-Tanaka metrics to examine supermassive black holes and primordial black holes. We introduce a new way tp parameterize tidal charge in the TRN metric which results in a large increase in image magnifications for braneworld primordial black holes compared to their 4 dimensional analogues. Finally, we offer a mathematical analysis that allows us to analyze the validity of the logarithmic approximation of the bending angle for any static, spherically symmetric metric. We apply this to the TRN metric and show that it is valid for any amount of tidal charge.

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  1. Deflection Angle of Regular Black Holes in Nonlinear Electrodynamics: Gauss-Bonnet Theorem, Time Delay, Shadow, and Greybody Bound

    gr-qc 2025-09 conditional novelty 3.0 of 10

    For a singularity-free charged black hole from nonlinear electrodynamics, this paper computes weak-field deflection angles (vacuum and plasma), time delay, shadow radius, and greybody bounds, finding charge reduces an...

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