Instanton representation of Plebanski gravity: Application to the Schwarzchild metric

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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22 pages. Background material for revised journal article

Scientific paper

In this paper we apply the instanton representation method to the
construction of spherically symmetric blackhole general relativity solutions.
The instanton representation implies the existence of additional Type D
solutions which are axially symmetric. We explicitly construct these solutions,
which are fully consistent with Birkhoff's theorem.

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