Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation

Details Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation

2000-02-14

arxiv.org/abs/gr-qc/0002049v2

Gen.Rel.Grav.33:195-293,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

75 pages (plus optional table of contents). Sign errors in elliptic case equations (1A.13), (1A.15) and (1A.25) are corrected.

Scientific paper

10.1023/A:1002701301339

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.

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