39 citations · 133 across the 6 of their papers we have counts for
6 papers
Perturbations of Kerr with approximate Killing spinors -- Wave version
Thomas Bäckdahl
In this paper we develop a new framework for non-linear perturbations of the Kerr spacetime. This is based on a characterization of the Kerr spacetime in terms of a Killing spinor.…
All local gauge invariants for perturbations of the Kerr spacetime
Steffen Aksteiner, Thomas Bäckdahl
We present two complex scalar gauge invariants for perturbations of the Kerr spacetime defined covariantly in terms of the Killing vectors and the conformal Killing-Yano tensor of…
The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars
T. Bäckdahl, J. A. Valiente Kroon
In this article we construct a geometric invariant for initial data sets for the vacuum Einstein field equations , such that is a 3-dimen…
Calculation of, and bounds for, the multipole moments of stationary spacetimes
Thomas Bäckdahl, Magnus Herberthson
In this paper the multipole moments of stationary asymptotically flat spacetimes are considered. We show how the tensorial recursion of Geroch and Hansen can be replaced by a scala…
Explicit multipole moments of stationary axisymmetric spacetimes
Thomas Backdahl, Magnus Herberthson
In this article we study multipole moments of axisymmetric stationary asymptotically flat spacetimes. We show how the tensorial recursion of Geroch and Hansen can be reduced to a r…
Static axisymmetric space-times with prescribed multipole moments
Thomas Backdahl, Magnus Herberthson
In this article we develop a method of finding the static axisymmetric space-time corresponding to any given set of multipole moments. In addition to an implicit algebraic form for…