3 papers
math.DG2026
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…
gr-qc2025
On energy bounds in asymptotically locally AdS spacetimes
Virinchi Rallabhandi
This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein c…
gr-qc2025
Spinorial quasilocal mass for spacetimes with negative cosmological constant
Virinchi Rallabhandi
A new notion of quasilocal mass is defined for generic, compact, two dimensional, spacelike surfaces in four dimensional spacetimes with negative cosmological constant. The definit…