Speaker
Description
The Robinson-Trautman metrics represent the simplest scenario that can describe the emission of Gravitational Waves from a bounded source. Lowest-order perturbations of the Schwarzschild metric have been previously investigated by Kramer (1988) and several others, particularly in order to demonstrate that the radiating gravitational field is well-behaved and free of irregularities. But little is known beyond the lowest-order approximation other than a previous numerical investigation by de Oliveira- Soares (2004), and the phenomenon of Gravitational Memory requires an inherently non-linear description. Here we give the simplest possible analytical description beyond linear order, where the various expressions involving Memory effects take on a relatively simple form, and can be used as a toy model for comparing against what one would expect to encounter in more general gravitational waves.
