Publication
Exploring the Conformal Constraint Equations
AbstractThe extended constraint equations arise as a special case of the conformal constraint equations that are satisfied by an initial data hypersurface Z in an asymptotically simple space-time satisfying the vacuum conformal Einstein equations developed by H. Friedrich. The extended constraint equations consist of a quasi-linear system of partial differential equations for the induced metric, the second fundamental form and two other tensorial quantities defined on Z, and are equivalent to the usual constraint equations that Z satisfies as a space-like hypersurface in a space-time satisfying Einstein’s vacuum equation. This article explores a perturbative solution strategy for these equations.
Download publicationRelated Resources
See what’s new.
2011
Space Layout in Occupant Behavior SimulationOccupant behavior is widely regarded as one of the most significant…
2010
Exploring the Design Space of Multiscale 3D OrientationRecently, research in 3D computer graphics and interaction has started…
2023
Safe Self-Supervised Learning of Insertion Skills in the Real World using Tactile and Visual SensingExploring how to safely train robots how to perform industrial…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us