5 citations · 9 across the 4 of their papers we have counts for
9 papers
Second order symmetry operators for the massive Dirac equation
Simon Jacobsson, Thomas Bäckdahl
Employing the covariant language of two-spinors, we find what conditions a curved Lorentzian spacetime must satisfy for existence of a second order symmetry operator for the massiv…
A space-time calculus based on symmetric 2-spinors
Steffen Aksteiner, Thomas Bäckdahl
In this paper we present a space-time calculus for symmetric spinors, including a product with a number of index contractions followed by symmetrization. As all operations stay wit…
Nonlinear radiation gauge for near Kerr spacetimes
Lars Andersson, Thomas Bäckdahl, Pieter Blue +1
In this paper, we introduce and explore the properties of a new gauge choice for the vacuum Einstein equation inspired by the ingoing and outgoing radiation gauges (IRG, ORG) for t…
Compatibility complex for black hole spacetimes
Steffen Aksteiner, Lars Andersson, Thomas Bäckdahl +2
The set of local gauge invariant quantities for linearized gravity on the Kerr spacetime presented by two of the authors (S.A, T.B.) in (arXiv:1803.05341) is shown to be complete.…
Stability for linearized gravity on the Kerr spacetime
Lars Andersson, Thomas Bäckdahl, Pieter Blue +1
In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr bla…
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…