Gravitational instantons with S^1 symmetry

Aksteiner, Steffen; Andersson, Lars; Dahl, Mattias; Nilsson, Gustav; Simon, Walter

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Gravitational instantons with S^1 symmetry

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Nilsson, Gustav
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Aksteiner, S., Andersson, L., Dahl, M., Nilsson, G., & Simon, W. (in preparation). Gravitational instantons with S^1 symmetry.

Cite as: https://hdl.handle.net/21.11116/0000-000E-52C4-8

Abstract

Uniqueness results for asymptotically locally flat and asymptotically flat
$S^1$-symmetric gravitational instantons are proved using a divergence identity
of the type used in uniqueness proofs for static black holes, combined with
results derived from the $G$-signature theorem. Our results include a proof of
the $S^1$-symmetric version of the Euclidean Black Hole Uniqueness conjecture,
a uniqueness result for the Taub-bolt family of instantons, as well as a proof
that an ALF $S^1$-symmetric instanton with the topology of the Chen-Teo family
of instantons is Hermitian.