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arXiv · hep-th/9702058

Harmonic superpositions of non-extremal p-branes

I. V. Lavrinenko·H. Lu·C. N. Pope·T. A. Tran
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Abstract

The plot of allowed p and D values for p-brane solitons in D-dimensional supergravity is the same whether the solitons are extremal or non-extremal. One of the useful tools for relating different points on the plot is vertical dimensional reduction, which is possible if periodic arrays of p-brane solitons can be constructed. This is straightforward for extremal p-branes, since the no-force condition allows arbitrary multi-centre solutions to be constructed in terms of a general harmonic function on the transverse space. This has also been shown to be possible in the special case of non-extremal black holes in D=4 arrayed along an axis. In this paper, we extend previous results to include multi-scalar black holes, and dyonic black holes. We also consider their oxidation to higher dimensions, and we discuss general procedures for constructing the solutions, and studying their symmetries.

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I. V. Lavrinenko, H. Lu, C. N. Pope, T. A. Tran. 1997-02-07. Harmonic superpositions of non-extremal p-branes. https://doi.org/10.1142/s0217751x98000123

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