Person: Chinea Trujillo, Francisco Javier
Universidad Complutense de Madrid
Faculty / Institute
Now showing 1 - 9 of 9
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. PublicationStationary axisymmetric SU(2) Einstein-Yang-Mills fields with restricted circularity conditions are Abelian(Amer Physical Soc, 2002-03-15) Chinea Trujillo, Francisco Javier; Navarro Lerida, FranciscoIn this paper we prove that in a stationary axisymmetric SU(2) Einstein-Yang-Mills theory the most reasonable circularity conditions that can be considered for the Yang-Mills fields imply in fact that the field is of embedded Abelian type, or else that the metric is not asymptotically flat. PublicationDifferential form approach for stationary axisymmetrical Maxwell fields in general-relativity(IOP Publishing Ltd, 1994-06) Fenández Jambrina, L.; Chinea Trujillo, Francisco JavierA formulation for stationary axisymmetric electromagnetic fields in general relativity is derived by casting them into the form of an anisotropic fluid. Several simplifications of the formalism are carried out in order to analyse different features of the fields, such as the derivation of electromagnetic sources for the Maxwell field in the form of thin layers, construction of new solutions, and generation techniques. PublicationAngular momentum surface density of the kerr metric(American Physical Society, 1993-10-18) Fernández Jambrina, L.; Chinea Trujillo, Francisco JavierA method for interpreting discontinuities of the twist potential of vacuum stationary axisymmetric solutions of Einstein's equations is introduced. Surface densities for the angular momentum of the source can be constructed after solving a linear partial differential equation with boundary conditions at infinity. This formalism is applied to the Kerr metric, obtaining a regularized version of the density calculated with other formalisms. The main result is that the integral defining the total angular momentum is finite for the Kerr metric. 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. PublicationNew first integral for twisting type-N vacuum gravitation fields with two non-commuting Killing vectors(IOP Publishing Ltd, 1998-02) Chinea Trujillo, Francisco JavierA new first integral for the equations corresponding to twisting type-N vacuum gravitational fields with two non-commuting Kilting vectors is introduced. A new reduction of the problem to a complex second-order ordinary differential equation is given. Alternatively, the mentioned first integral can be used in order to provide a first integral of the second-order complex equation introduced in a previous treatment of the problem. PublicationSingularity-free space-time(Amer Physical Soc, 1992-01-15) Chinea Trujillo, Francisco Javier; Fernández Jambrina, Leonardo; Senovilla, J. M. M.We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, the strong energy condition, causal symmetry, and causal stability. A detailed discussion about which assumptions in the singularity theorems are not satisfied is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given. 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.