3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Factorisation of symmetric matrices and applications in gravitational theories
M. Cristina Câmara, Gabriel Lopes Cardoso
We consider the canonical Wiener-Hopf factorisation of symmetric matrices with respect to a contour . For the case that the quotient of the two dia…
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…
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…