45 citations · 163 across the 12 of their papers we have counts for
12 papers
Gravitational instantons with symmetry
Steffen Aksteiner, Lars Andersson, Mattias Dahl +2
Uniqueness results for asymptotically locally flat and asymptotically flat -symmetric gravitational instantons are proved using a divergence identity of the type used in uniqu…
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…
Kaehler geometry of black holes and gravitational instantons
Steffen Aksteiner, Bernardo Araneda
We obtain a closed formula for the Kaehler potential of a broad class of four-dimensional Lorentzian or Euclidean conformal "Kaehler" geometries, including the Plebanski-Demianski…
Gravitational Instantons and special geometry
Steffen Aksteiner, Lars Andersson
The Chen-Teo gravitational instanton is an asymptotically flat, toric, Ricci flat family of metrics on , that provides a counterexample to the…
On the geometry of Petrov type II spacetimes
Steffen Aksteiner, Lars Andersson, Bernardo Araneda +1
In general, geometries of Petrov type II do not admit symmetries in terms of Killing vectors or spinors. We introduce a weaker form of Killing equations which do admit solutions. I…
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.…
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…
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…
New modes from higher curvature corrections in holography
Steffen Aksteiner, Yegor Korovin
In gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators…
Charges for linearized gravity
Steffen Aksteiner, Lars Andersson
Maxwell test fields as well as solutions of linearized gravity on the Kerr exterior admit non-radiating modes, i.e. non-trivial time-independent solutions. These are closely relate…
Linearized gravity and gauge conditions
Steffen Aksteiner, Lars Andersson
In this paper we consider the field equations for linearized gravity and other integer spin fields on the Kerr spacetime, and more generally on spacetimes of Petrov type D. We give…