Differential form approach for stationary axisymmetrical Maxwell fields in general-relativity

Thumbnail Image
Full text at PDC
Publication Date
Fenández Jambrina, L.
Advisors (or tutors)
Journal Title
Journal ISSN
Volume Title
IOP Publishing Ltd
Google Scholar
Research Projects
Organizational Units
Journal Issue
A 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.
© 1994 IOP Publishing Ltd. The present work has been supported in part by DGICYT Project PB89-0142; LFJ is supported by a FPI Predoctoral Scholarship from Ministerio de Fducación y Ciencia (Spain). The authors wish to thank L M González-Romero and J A Ruiz-Martln for valuable discussions.
Unesco subjects
[1] F. J. Ernst, Phys.Rev. 168, 1415 (1968) [2] Solutions of Einstein’s equations: Techniques and Results (eds.: C. Hoenselaers and W. Dietz, Springer Verlag), Berlin-New York (1984) [3] El Escorial Summer School on Gravitation and General Relativity 1992: Rotating Objects and Other Topics (eds.: F. J. Chinea and L. M. GonzálezRomero), Springer-Verlag, Berlin-New York (1993) [4] F. J. Chinea and L.M. González-Romero, Class. Quantum Grav. 9, 1271 (1992) [5] L. M. González-Romero, Ph.D. thesis, Universidad Complutense de Madrid (1991) (unpublished) [6] M. Gürses, J. Math. Phys. 18, 2356 (1977) [7] L. Fernández-Jambrina and F.J. Chinea, Phys. Rev. Lett. 71 2521 (1993) [8] W. Israel, Phys. Rev. D 2, 641 (1970) [9] O. D. Kellogg, Foundations of Potential Theory. Dover, Nueva York. [10] W. B. Bonnor, Z. Phys. 161, 439 (1961) [11] W. B. Bonnor, Z. Phys. 190, 444 (1966) [12] H. Weyl, Ann. d. Phys. 54, 117 (1917) [13] A. Papapetrou, Ann. d. Phys. 12, 309 (1953) [14] D. Kramer, H. Stephani, M. MacCallum, E. Herlt, Exact Solution’s of Einstein’s Field equations Cambridge University Press, Cambridge (1980)