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math-ph2026
Solving gravitational field equations by Wiener-Hopf matrix factorisation, and beyond
M. Cristina Câmara, Gabriel Lopes Cardoso
By viewing Einstein's field equations -- reduced to two dimensions -- as an integrable system, one can simultaneously obtain exact solutions to both the equations themselves and th…
math-ph2024★ 3 cited
Riemann-Hilbert problems, Toeplitz operators and ergosurfaces
M. Cristina Câmara, Gabriel Lopes Cardoso
The Riemann-Hilbert approach, in conjunction with the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices, enables one to obtain explicit solu…
math-ph2022★ 2 cited
Generating new gravitational solutions by matrix multiplication
M. Cristina Câmara, Gabriel Lopes Cardoso
Explicit solutions to the non-linear field equations of some gravitational theories can be obtained, by means of a Riemann-Hilbert approach, from a canonical Wiener-Hopf factorisat…