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Schwarzschild radial perturbations in Eddington-Finkelstein and Painlev\'e-Gullstrand coordinates by Philipp, Dennis; Perlick, Volker is a scholarly article available to read on EtoBox.

What is Schwarzschild radial perturbations in Eddington-Finkelstein and Painlev\'e-Gullstrand coordinates about?

In a previous paper we have considered the Regge-Wheeler equation for fields of spin $s=0$, $1$ or $2$ on the Schwarzschild spacetime in coordinates that are regular at the horizon. In particular, we have constructed in Eddington-Finkelstein coordinates exact solutions in terms of series that are regular at the horizon and converge on the entire open domain from the central singularity to infinity. Here we extend this earlier work in two different directions. Firstly, we consider in Eddington-Finkelstein coordinates a massive scalar field that can serve as a dark matter candidate. Secondly, we extend the treatment of the massless case to Painlev\'e-Gullstrand coordinates, which are associated with radially infalling observers.

Author

Philipp, Dennis; Perlick, Volker

Published

2015

Language

EN