57 citations · 350 across the 18 of their papers we have counts for
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Gauge-invariant perturbations of Schwarzschild spacetime
Abhay G. Shah, Bernard F. Whiting, Steffen Aksteiner +2
We study perturbations of Schwarzschild spacetime in a coordinate-free, covariant form. The GHP formulation, having the advantage of not only being covariant but also tetrad-rotati…
Gauge Invariant Perturbations of the Schwarzschild Spacetime
Jonathan E. Thompson, Hector Chen, Bernard F. Whiting
Beginning with the pioneering work of Regge and Wheeler (Phys. Rev. 108, 1957), there have been many studies of perturbations away from the Schwarzschild spacetime background. In p…
Geometry of black hole spacetimes
Lars Andersson, Thomas Bäckdahl, Pieter Blue
These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole space…
Symmetries of linearized gravity from adjoint operators
Steffen Aksteiner, Thomas Bäckdahl
Based on operator identities and their formal adjoints, we derive two symmetry operators for the linearized Einstein operator on vacuum backgrounds of Petrov type D and in particul…
New identities for linearized gravity on the Kerr spacetime
Steffen Aksteiner, Lars Andersson, Thomas Bäckdahl
In this paper we derive a differential identity for linearized gravity on the Kerr spacetime and more generally on vacuum spacetimes of Petrov type D. We show that a linear combina…