Generalized Kerr Schild metrics and the gravitational field of a massless particle on the horizon

Abstract

We investigate the structure of the gravitational field generated by a massless particle moving on the horizon of an arbitrary (stationary) black hole. This is done by employing the generalized Kerr-Schild class where we take the null generators of the horizon as the geodetic null vector-field and a scalar function which is concentrated on the horizon.

uses AMS macros

References in corpus (2)

• The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra
• Distributional energy momentum tensor of the extended Kerr geometry

Cited by in corpus (10)

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• Charged particle scattering near the horizon
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor
• Distributional Metrics and the Action Principle of Einstein-Hilbert Gravity
• The gravitational Field of a massless Particle on the Horizon of a stationary Black Hole
• General Shells and Generalized Functions
• Nonanalytic extensions of the extreme Reissner-Nordstroem metric in terms of weak solutions