49 citations · 184 across the 13 of their papers we have counts for
12 papers · 1 filter
Conformal Properties of an Evaporating Black Hole Model
Christian Lübbe, Paul Tod
We use a new, conformally-invariant method of analysis to test incomplete null geodesics approaching the singularity in a model of an evaporating black hole for the possibility of…
On Mason's rigidity theorem
Piotr T. Chruściel, Paul Tod
Following an argument proposed by Mason, we prove that there are no algebraically special asymptotically simple vacuum space-times with a smooth, shear-free, geodesic congruence of…
A global conformal extension theorem for perfect fluid Bianchi space-times
Christian Lübbe, Paul Tod
A global extension theorem is established for isotropic singularities in polytropic perfect fluid Bianchi space-times. When an extension is possible, the limiting behaviour of the…
Avoiding closed timelike curves with a collapsing rotating null dust shell
Filipe C. Mena, Jose Natario, Paul Tod
We present an idealised model of gravitational collapse, describing a collapsing rotating cylindrical shell of null dust in flat space, with the metric of a spinning cosmic string…
Gravitational Collapse to Toroidal and Higher Genus asymptotically AdS Black Holes
Filipe C. Mena, Jose Natario, Paul Tod
We match collapsing inhomogeneous as well as spatially homogeneous but anisotropic spacetimes to vacuum static exteriors with a negative cosmological constant and planar or hyperbo…
Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein-Maxwell solutions
Paul Tod
Following the technique of Müller-zum-Hagen, refs [1,2], we show that strictly static and strictly stationary solutions of the Einstein-Maxwell equations are analytic in harmonic c…