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

TL;DR

This paper explores the gravitational field of a massless particle on a black hole horizon using generalized Kerr-Schild metrics, revealing new insights into horizon dynamics and spacetime structure.

Contribution

It introduces a generalized Kerr-Schild framework to analyze the gravitational effects of massless particles on black hole horizons, extending previous models.

Findings

Characterization of the gravitational field of massless particles on horizons

Development of a generalized Kerr-Schild approach for horizon analysis

Insights into horizon geometry influenced by massless particles

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.