102 citations · 643 across the 44 of their papers we have counts for
44 papers
Structure of the Riemann tensor in higher-dimensional Kerr-NUT-(A)dS spaces
Igor Khavkine, David Matejov
We study the algebraic and differential structure of the Riemann curvature tensor of the higher-dimensional Kerr-NUT-(A)dS spaces, motivated by the eventual goal of finding an IDEA…
Unit Killing Initial Data
Igor Khavkine, Salvador Mengual Sendra
We find a system of differential equations on an initial data surface whose solutions are in bijection with unit vector fields on the Einstein -vacuum development that are propo…
Poisson bracket and algebras
Vinícius Bernardes, Theodore Erler, Atakan Hilmi Fırat +1
We describe the Poisson bracket of a Lagrangian field theory expressed in the framework of algebras. If the symplectic structure on phase space is defined following rece…
Compatibility complexes for the conformal-to-Einstein operator
Igor Khavkine, Josef Šilhan
The conformal-to-Einstein operator is a conformally invariant linear overdetermined differential operator whose non-vanishing solutions correspond to Einstein metrics within a conf…
Synthetic Differential Jet Bundles are Reduced
Grigorios Giotopoulos, Igor Khavkine, Hisham Sati +1
We have previously observed that the theory of solutions of partial differential equations, regarded as diffieties inside jet bundles, acquires a powerful comonadic formulation aft…
IDEAL characterization of vacuum pp-waves
Igor Khavkine, David McNutt, Lode Wylleman
An IDEAL characterization of a particular spacetime metric, , consists of a set of tensorial equations arising from expressions constructed from the metric, , it…