3 citations · 5 across the 4 of their papers we have counts for
5 papers
Charged and rotating near-horizon geometries in five dimensions
Alex Colling, Jun Liu
We present new charged and rotating near-horizon geometries in five-dimensional Einstein-Maxwell theory in closed analytic form. The solutions can be parametrised by the charge and…
Symmetries of extremal horizons
Alex Colling
We prove an intrinsic analogue of Hawking's rigidity theorem for extremal horizons in arbitrary dimensions: any compact cross-section of a rotating extremal horizon in a spacetime…
Quasi-Einstein structures and Hitchin's equations
Alex Colling, Maciej Dunajski
We prove (Theorem 1.1.) that a class of quasi-Einstein structures on closed manifolds must admit a Killing vector field. This extends the rigidity theorem obtained in \cite{DL23} f…
Rigidity of the extremal Kerr-Newman horizon
Alex Colling, David Katona, James Lucietti
We prove that the intrinsic geometry of compact cross-sections of an extremal horizon in four-dimensional Einstein-Maxwell theory must admit a Killing vector field or is static. Th…
New quasi-Einstein metrics on a two-sphere
Alex Colling, Maciej Dunajski, Hari Kunduri +1
We construct all axi-symmetric non-gradient -quasi-Einstein structures on a two-sphere. This includes the spatial cross-section of the extreme Kerr black hole horizon correspond…