39 citations · 160 across the 11 of their papers we have counts for
5 papers · 1 filter
Static spacetimes with prescribed multipole moments; a proof of a conjecture by Geroch
Magnus Herberthson
In this paper we give sufficient conditions on a sequence of multipole moments for a static spacetime to exist with precisely these moments. The proof is constructive in the sense…
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…
On the differentiability conditions at spacelike infinity
Magnus Herberthson
We consider space-times which are asymptotically flat at spacelike infinity, i^0. It is well known that, in general, one cannot have a smooth differentiable structure at i^0, but h…