ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
Two-soliton solutions of axially symmetric Einstein field equations are presented using two different Laplace's solutions as seed. The derived stationary solutions reduce to some well-known solutions such as Schwarzschild, Kerr, Kerr–Newman–Unti–Tamburino, and Kerns–Wild. The surface geometry of the metrics namely, the location of singularities, event horizon, infinite red shift surface, surface area of the horizon, and Gaussian curvatures are studied. Finally, the generated two-soliton solutions are compared with our previous solutions [Pramana, J. Phys. 40, 277 (1993)], which was obtained by the method of Gutsunaev–Manko [Gen. Relativ. Gravit. 20, 327 (1988)] for the same set of Laplace's solutions as seed. The comparison shows that the solutions generated from the Inverse Scattering Method of Belinskii–Zakharov [Sov. Phys. JETP 48, 985 (1978); 50, 1 (1979)] is more general than the solutions obtained from the method of Gutsunaev–Manko [Pramana, J. Phys. 40, 277 (1993)].© 1997 American Institute of Physics.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.532166
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