New gravitational solutions via a Riemann-Hilbert approach

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, t...

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Bibliographic Details
Published in:arXiv.org 2018-03
Main Authors: Cardoso, G L, Serra, J C
Format: Article
Language:English
Subjects:
Deformation
Factorization
Mathematical analysis
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1711.01113