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

Understand

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.