Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry

Dempster, P and Mohaupt, T ORCID: 0000-0002-6864-4086 (2014) Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry CLASSICAL AND QUANTUM GRAVITY, 31 (4). 045019-. ISSN 0264-9381, 1361-6382

Text 1310.5056v1.pdf - Unspecified Download (373kB)

Abstract

We construct non-extremal as well as extremal black string solutions in minimal five-dimensional supergravity coupled to vector multiplets using dimensional reduction to three Euclidean dimensions. Our method does not assume that the scalar manifold is a symmetric space, and applies as well to a class of non-supersymmetric theories governed by a generalization of special real geometry. We find that five-dimensional black string solutions correspond to geodesics in a specific totally geodesic para-Kähler submanifold of the scalar manifold of the dimensionally reduced theory, and identify the subset of geodesics that corresponds to regular black string solutions in five dimensions. Extremal solutions are distinguished by whether or not the corresponding geodesics are along the eigendirections of the para-complex structure, which for supersymmetric theories reduces to the usual notion of BPS and non-BPS solutions. For non-extremal black strings the values of the scalars at the outer and inner horizon are not independent integration constants but determined by certain functions of the charges and moduli. By lifting solutions from three to four dimensions we obtain non-extremal versions of small black holes, and find that while the outer horizon takes finite size, the inner horizon is still degenerate. © 2014 IOP Publishing Ltd.

Item Type:	Article
Additional Information:	46 pages
Uncontrolled Keywords:	black strings, supergravity, string theory, special geometry
Subjects:	?? QC ??
Depositing User:	Symplectic Admin
Date Deposited:	12 Oct 2015 14:39
Last Modified:	16 Jun 2026 07:16
DOI:	10.1088/0264-9381/31/4/045019
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2031040
Disclaimer:	The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate.