Contents Online
Mathematical Research Letters
Volume 12 (2005)
Number 2
The Existence of Horizons in an Asymptotically Flat 3-Manifold
Pages: 219 – 230
DOI: https://dx.doi.org/10.4310/MRL.2005.v12.n2.a7
Author
Abstract
In this paper we study the type of asymptotically flat manifolds of the form $(S^3\setminus\{P\}, G^4g) $, where $G$ is a Green’s function of the conformal Laplacian of $(S^3,g)$ at $P$. We give a sufficient condition on the background metric $g$ which guarantees the existence of a minimal surface in $(S^3\setminus\{P\}, G^4g) $.
Published 1 January 2005