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Harmonic superpositions of non-extremal p-branes (1998)
| Venue: | Int. J. Mod. Phys |
| Citations: | 2 - 0 self |
BibTeX
@ARTICLE{Lavrinenko98harmonicsuperpositions,
author = {I. V. Lavrinenko and H. Lü and C. N. Pope and T. A. Tran},
title = {Harmonic superpositions of non-extremal p-branes},
journal = {Int. J. Mod. Phys},
year = {1998},
pages = {273--294}
}
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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.
Keyphrases
harmonic superposition non-extremal p-branes p-brane soliton no-force condition periodic array multi-scalar black hole non-extremal black hole special case transverse space dyonic black hole general procedure different point vertical dimensional reduction useful tool extremal p-branes general harmonic function d-dimensional supergravity previous result arbitrary multi-centre solution
