371 citations · 2.1k across the 73 of their papers we have counts for
9 papers · 1 filter
A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds
Aghil Alaee, Marcus Khuri, Hari Kunduri
We establish sharp lower bounds for the mass of asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) toric 4-manifolds, in terms of equilibrium geometries c…
On the existence of toric ALE and ALF gravitational instantons
Hari K. Kunduri, James Lucietti
We establish existence and uniqueness results for asymptotically locally Euclidean (ALE) and asymptotically locally flat (ALF) gravitational instantons. In particular, we prove the…
Stability of Homogeneous minimal hypersurfaces in the Page space and Sasaki-Einstein manifolds
Natalia Gherghel, Hari K. Kunduri
We investigate the stability of homogeneous minimal submanifolds in two families of closed Einstein manifolds, the Page space and the Sa…
The Spacetime Penrose Inequality for Cohomogeneity One Initial Data
Marcus Khuri, Hari Kunduri
We prove the spacetime Penrose inequality for asymptotically flat -dimensional initial data sets for the Einstein equations, which are invariant under a cohomogeneity one a…
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…
Rigidity of quasi-Einstein metrics: The incompressible case
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri +1
As part of a programme to classify quasi-Einstein metrics on closed manifolds and near-horizon geometries of extreme black holes, we study such spaces when the vector fie…