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  The ernst equation on a riemann surface

Korotkin, D. A., & Nicolai, H. (1994). The ernst equation on a riemann surface. Nuclear Physics B, 429(1), 229-254. doi:10.1016/S0550-3213(94)80048-0.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BE0-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5BE1-9
Genre: Journal Article

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Korotkin, D. A.1, Author
Nicolai, Hermann2, Author              
Affiliations:
1External Organizations, ou_persistent13              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: The Ernst equation is formulated on an arbitrary Riemann surface. Analytically, the problem reduces to finding solutions of the ordinary Ernst equation which are periodic along the symmetry axis. The family of (punctured) Riemann surfaces admitting a non-trivial Ernst field constitutes a “partially discretized” subspace of the usual moduli space. The method allows us to construct new exact solutions of Einstein's equations in vacuo with non-trivial topology, such that different “universes”, each of which may have several black holes on its symmetry axis, are connected through necks bounded by cosmic strings. We show how the extra topological degrees of freedom may lead to an extension of the Geroch group and discuss possible applications to string theory.

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 Dates: 1994-10
 Publication Status: Published in print
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 Identifiers: eDoc: 346839
DOI: 10.1016/S0550-3213(94)80048-0
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Title: Nuclear Physics B
  Alternative Title : Nucl. Phys. B
Source Genre: Journal
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Pages: - Volume / Issue: 429 (1) Sequence Number: - Start / End Page: 229 - 254 Identifier: ISSN: 0550-3213