Modifying the Einstein Equations off the Constraint Hypersuface
J. David Brown, Lisa L. Lowe
TL;DR
This paper introduces a novel method for modifying Einstein's equations off the constraint hypersurface, allowing flexible control over the evolution of constraints by adding linear, nonlocal terms derived from linearized solutions.
Contribution
The paper presents a new technique to modify Einstein's equations off the constraint hypersurface, enabling arbitrary specification of constraint evolution equations.
Findings
Allows free specification of constraint evolution equations
Incorporates linear, nonlocal terms from linearized Einstein constraints
Provides a flexible framework for Einstein equation modifications
Abstract
A new technique is presented for modifying the Einstein evolution equations off the constraint hypersurface. With this approach the evolution equations for the constraints can be specified freely. The equations of motion for the gravitational field variables are modified by the addition of terms that are linear and nonlocal in the constraints. These terms are obtained from solutions of the linearized Einstein constraints.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.