Proof of a Generalized Geroch Conjecture for the Hyperbolic Ernst Equation
Abstract
We enunciate and prove here a generalization of Geroch's famous conjecture concerning analytic solutions of the elliptic Ernst equation. Our generalization is stated for solutions of the hyperbolic Ernst equation that are not necessarily analytic, although it can be formulated also for solutions of the elliptic Ernst equation that are nowhere axis-accessible.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- February 2001
- DOI:
- arXiv:
- arXiv:gr-qc/0002049
- Bibcode:
- 2001GReGr..33..195H
- Keywords:
-
- proof;
- Geroch conjecture;
- Ernst equation;
- General Relativity and Quantum Cosmology
- E-Print:
- 75 pages (plus optional table of contents). Sign errors in elliptic case equations (1A.13), (1A.15) and (1A.25) are corrected. Not relevant to proof contained in paper