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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ArXiv ePrint: 1711.01113
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Cardoso, G.L., Serra, J.C. New gravitational solutions via a Riemann-Hilbert approach. J. High Energ. Phys. 2018, 80 (2018). https://doi.org/10.1007/JHEP03(2018)080
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DOI: https://doi.org/10.1007/JHEP03(2018)080