49 citations · 202 across the 25 of their papers we have counts for
4 papers · 1 filter
A note on static metrics
Robert Bartnik, Paul Tod
Conditions are given which, subject to a genericity condition on the Ricci tensor, are both necessary and sufficient for a 3-metric to arise from a static spacetime metric.
On non-existence of static vacuum black holes with degenerate components of the event horizon
Piotr T. Chrusciel, Harvey S. Reall, Paul Tod
We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the gene…
Lie point symmetries and the geodesic approximation for the Schrödinger-Newton equations
Oliver Robertshaw, Paul Tod
We consider two problems arising in the study of the Schrödinger-Newton equations. The first is to find their Lie point symmetries. The second, as an application of the first, is t…
Paraconformal geometry of th order ODEs, and exotic holonomy in dimension four
Maciej Dunajski, Paul Tod
We characterise th order ODEs for which the space of solutions is equipped with a particular paraconformal structure in the sense of \cite{BE}, that is a splitting of the ta…