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arXiv · 1711.01113

New gravitational solutions via a Riemann-Hilbert approach

G. L. Cardoso·J. C. Serra
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Abstract

We consider the Riemann-Hilbert factorization approach to solving the field equations of dimensionally reduced gravity theories. First we prove that functions belonging to a certain class possess a canonical factorization due to properties of the underlying spectral curve. Then we use this result, together with appropriate matricial decompositions, to study the canonical factorization of non-meromorphic monodromy matrices that describe deformations of seed monodromy matrices associated with known solutions. This results in new solutions, with unusual features, to the field equations.

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G. L. Cardoso, J. C. Serra. 2017-11-03. New gravitational solutions via a Riemann-Hilbert approach. https://doi.org/10.1007/jhep03(2018)080

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