Multipoles particles in general relativity: The Weyl and Kerr metrics

Actes:

Gravitation, Geometry and Relativistic Physics: Proceedings of the “Journées Relativistes” Held at Aussois, France, May 2–5, 1984

Editorial: Laboratoire “Gravitation et Cosmologie Relativistes”, Université Pierre et Marie Curie et C.N.R.S., Institut Henri Poincaré, Paris

ISBN: 3540138811

Any de publicació: 1984

Pàgines: 29-39

Congrés: Proceedings of the “Journées Relativistes” Held at Aussois, France, May 2–5, 1984

Tipus: Aportació congrés

DOI: 10.1007/BFB0012574 GOOGLE SCHOLAR Accés obert editor

Referències bibliogràfiques

J. Martín, E. Ruiz & M.J.Senosiaín: “Actas de los E.R.E. 1983”; Universitat de Palma de Mallorca, Spain (1984). “Multipoles particles and the Kerr metric”; submited to Phys. Rev. D.
The linear signature of space-time should be taken as equal to +2 and the speed of light in vacuum as equal to one. The Greek indices run from 0 to 3, where the first refers to time.
A straightforward generalization of the energy-momentum tensor of a pole-dipole-particle, W. Tulczyjew. Acta Phys. Polon. 18, 393 (1959)
C.W. Misner, K.S. Thorne and J.A. Wheeler, “Gravitation” (Freeman, San Francisco, 1973).
L. Landau and L. Lifshitz, “Theorie du Champ” (Mir, Moscou, 1966).
This condition defines center of mass world-line of an extended body W.G. Dixon, in “Isolated Gravitating Systems in General Relativity”, proceedings of the Interna tional School of Physics “Enrico Fermi”, ed. J. Ehlers (North Holland, Amsterdam, 1979).
Similar to what is done in J. Ehlers and E. Rudolph, Gen. Rel. Grav. 8, 197 (1977).
We use the regularization procedure described in L. Bel, T. Damour, N. Deruelle, J. Ibañez and J. Martín, Gen.Rel. Grav. 13, 963 (1981).
By acceptable, we understand that they do not have singularities except on R = 0 and, moreover, that and
A different choice from this one will be analysed in a forthcoming work.
R. Geroch, J. Math. Phys. 11, 2580 (1970).