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Universal properties of the near-horizon optical geometry
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We make use of the fact that the optical geometry near a static non-degenerate Killing horizon is asymptotically hyperbolic to investigate universal features of black hole physics. We show how the Gauss-Bonnet theorem allows certain lensing scenarios to be ruled in or out. We find rates for the loss of scalar, vector and fermionic `hair' as objects fall quasi- statically towards the horizon. In the process we find the Lienard-Wiechert potential for hyperbolic space and calculate the force between electrons mediated by neutrinos, extending the flat space result of Feinberg and Sucher. We use the enhanced conformal symmetry of the Schwarzschild and Reissner-Nordstrom backgrounds to re-derive the electrostatic field due to a point charge in a simple fashion.
Forward citations
Cited by 2 Pith papers
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Phase-plane formulation of weak gravitational deflection in static spherical spacetimes
The Schwarzschild weak-deflection angle is derived to all orders from a phase-plane amplitude cubic, giving an explicit coefficient formula with convergence radius at the photon sphere.
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Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes
The authors present a generic weak-field lensing framework built from three known semi-analytic methods and apply it to a scalar hairy Reissner-Nordstrom black hole, recovering the standard deflection with q^2 = Q^2+Q_s^2.
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