2 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
On toric self-dual Einstein gravitational instantons
Bernardo Araneda, James Lucietti, Virinchi Rallabhandi
We consider the classification of toric self-dual Einstein gravitational instantons with negative cosmological constant. As is well known, any Killing vector field on a self-dual E…
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…
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…
All toric Hermitian ALE gravitational instantons
Bernardo Araneda, James Lucietti
We prove that the only smooth, Ricci flat, ALE instanton with a toric Hermitian non-Kähler structure is the Eguchi-Hanson instanton. The proof is analogous to the classification o…