Person: Chinea Trujillo, Francisco Javier
Universidad Complutense de Madrid
Faculty / Institute
Now showing 1 - 4 of 4
PublicationIntegrability formulation and bäcklund-transformations for gravitational-fields with symmetries(Amer Physical Soc, 1981) Chinea Trujillo, Francisco JavierThe Ernst equation for gravitational fields with a two-parameter isometry group is formulated as a vanishing-curvature condition on an SU(2) or SU(1,1) bundle, both in the elliptic and hyperbolic cases. Bäcklund transformations are introduced as a special case of gauge transformations, and strong Bäcklund transformations are obtained in that context. PublicationEinstein equations in vacuum as integrability conditions(American Physical Society, 1984) Chinea Trujillo, Francisco JavierThe Einstein equations describing gravitational fields in vacuum are written as a compact exterior system of spinor-valued forms. A second system of equations is given, such that their integrability conditions are satisfied by virtue of the Einstein equations. This suggests the possibility of integrating the field equations by means of an inversetype procedure. PublicationNew backlund-transformations and superposition principle for gravitational-fields with symmetries(American Physical Society, 1983) Chinea Trujillo, Francisco JavierVector Bäcklund transformations which relate solutions of the vacuum Einstein equations having two commuting Killing fields are introduced. Such transformations generalize those found by Pohlmeyer in connection with the nonlinear δ model. A simple algebraic superposition principle, which permits the combination of Bäcklund transforms in order to get new solutions, is given. The superposition preserves the asymptotic flatness condition, and the whole scheme is manisfestly O(2, 1) invariant. PublicationTwisting, type-N vacuum gravitational fields with symmetries(Amer Physical Soc, 1988-05-15) Chinea Trujillo, Francisco JavierThe Einstein field equations for twisting, type-N fields in empty space possessing two noncommuting Killing vectors are reduced to a single second-order ordinary differential equation for a complex function. Alternative forms of this basic equation are also presented; in particular, an appropriate Legendre transform provides a partial linearization, leading to a single real, nonlinear, third-order ordinary differential equation.