A perturbation of spacetime Laplacian equation

Abstract

We study a perturbation \begin{equation} Δu + P | \nabla u| = h | \nabla u|, \end{equation} of spacetime Laplacian equation in an initial data set $(M,g,p)$ where $P$ is the trace of the symmetric 2-tensor $p$ and $h$ is a smooth function.

6 pages, comments welcome

References in corpus (3)

• Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
• Scalar curvature and harmonic one-forms on three-manifolds with boundary
• Spacetime Harmonic Functions and Applications to Mass