57 citations · 350 across the 18 of their papers we have counts for
3 papers · 1 filter
A formalism for the calculus of variations with spinors
Thomas Bäckdahl, Juan A. Valiente Kroon
We develop a frame and dyad gauge-independent formalism for the calculus of variations of functionals involving spinorial objects. As part of this formalism we define a modified va…
Spin geometry and conservation laws in the Kerr spacetime
Lars Andersson, Thomas Bäckdahl, Pieter Blue
In this paper we will review some facts, both classical and recent, concerning the geometry and analysis of the Kerr and related black hole spacetimes. This includes the analysis o…
Decay of solutions to the Maxwell equation on the Schwarzschild background
Lars Andersson, Thomas Bäckdahl, Pieter Blue
A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of a Schwarzschild black hole spacetime is proved. The proof makes use of a new sup…