Universal properties of the near-horizon optical geometry

Abstract

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.

References in corpus (11)

• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Universailty of Low Energy Absorption Cross-sections for Black Holes
• Horizon Holography
• Skyrmions, instantons, mass and curvature
• Dynamical Symmetry Breaking in Spaces with Constant Negative Curvature
• Quantum Theory on Lobatchevski Spaces
• The Geometry of Large Causal Diamonds and the No Hair Property of Asymptotically de-Sitter Spacetimes
• Bose-Einstein condensation of scalar fields on hyperbolic manifolds
• Poincare ball embeddings of the optical geometry
• Green functions and dimensional reduction of quantum fields on product manifolds

Cited by in corpus (37)

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• Photon Spheres and Sonic Horizons in Black Holes from Supergravity and Other Theories
• On quasinormal modes of asymptotically anti-de Sitter black holes
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• The Jacobi-metric for timelike geodesics in static spacetimes
• Graphene and the Zermelo Optical Metric of the BTZ Black Hole
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• Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing
• Standard static Finsler spacetimes
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• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Mathematics of Gravitational Lensing: Multiple Imaging and Magnification
• Chaotic Fast Scrambling At Black Holes
• Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow
• Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
• Scalar and electromagnetic fields of static sources in higher dimensional Majumdar-Papapetrou spacetimes
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Universal properties of the near-horizon geometry
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• Ultrastatic spacetimes
• Causality bounds chaos in geodesic motions
• Weak gravitational lensing by Einstein-non-linear-Maxwell-Yukawa black hole
• The Existence and Distribution of Photon Spheres Near Spherically Symmetric Black Holes -- A Geometric Analysis
• Kiselev-inspired Wormholes
• A General Discussion on Photon Spheres in Different Categories of Spacetimes
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• Optical Metrics and Projective Equivalence
• Celestial Eikonal Amplitudes in the Near-Horizon Region
• Simple generalizations of Anti-de Sitter space-time
• Investigating Graviton Mass Effects on Black Hole Lensing in dRGT Massive Gravity
• Asymptotically flat anisotropic space-time in 5 dimensions