Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

Zenginoglu, Anil; Nunez, Dario; Husa, Sascha

Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem

Authors

Zenginoglu, Anil

Nunez, Dario

Husa, Sascha

Description

We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen-Press equation. Compactification along hyperboloidal surfaces in a scri-fixing gauge allows us to have access to the gravitational waveform at null infinity in a general setup. We argue that this hyperboloidal approach leads to a more accurate and efficient calculation of the radiation signal than the common approach where a timelike outer boundary is introduced. The method can be generalized to study perturbations of Kerr spacetime using the Teukolsky equation.
14 pages, 9 figures