Speaker
Description
Gravitational shockwaves are geometries where components of the transverse
curvature have abrupt behaviour across null hypersurfaces, which are fronts of the
waves. We develop a general approach to describe classical field theories on such
geometries in a linearized approximation, by using free scalar fields as a model.
Perturbations caused by shockwaves exist above the wave front and are solutions
to a characteristic Cauchy problem with initial data on the wave front determined
by a supertranslation of ingoing fields. A special attention is paid to perturbations
of fields of point-like sources generated by plane-fronted gravitational shockwaves.
One has three effects: conversion of non-stationary perturbations into an outgoing
radiation, a spherical scalar shockwave which appears when the gravitational wave
hits the source, and a plane scalar shockwave accompanying the initial gravitational
wave. Our analysis is applicable to gravitational shockwaves of a general class
including geometries sourced by null particles and null branes.
| Тематическая секция | Гравитация и космология |
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