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  • 1
    Electronic Resource
    Electronic Resource
    An algorithm to relate general solutions of different bidimensional problems (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1491-1497 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A sufficient condition to relate the general solutions of two different bidimensional problems, both in classical and quantum mechanics, is found. The point transformation, as well as the explicit construction of the related potentials, is presented. The procedure is then used in geometrical optics, the vibrating membrane, and other physical systems in two dimensions. Several examples and applications are worked out.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529255
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Affine collineations in Riemannian spaces (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 234-238 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Sufficient conditions on the Christoffel symbols and metric tensors to insure the existence of affine collineations in Riemann spaces are obtained. A proof of the group property of affine collineations is given. Several examples of physically relevant Riemannian spaces admitting affine collineations are presented and the constants of motion are constructed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529123
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    On the Motion of Shells in General Relativity (1999)
    Springer
    General relativity and gravitation 31 (1999), S. 753-759 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We use Lanczos equations to analyze the motionof shells in the gravitational field of a sphericallysymmetric central body. A first integral of Israel'smatching conditions is used to show that the motion of the shell depends on the equation of stateof the shell matter. In particular, the case of abarotropic equation of state is analyzed. The questionof how the type of motion determines the equation of state for the matter of the shell is alsoinvestigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026613632701
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 1499-1525 
    Details
    ISSN: 1572-9532
    Keywords: Solution-generating procedure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using invariant transformations of the five-dimensional Kaluza-Klein (KK) field equations, we find a series of formulae to derive axially symmetric stationary exact solutions of the KK theory starting from static ones. The procedure presented in this work allows to derive new exact solutions up to very simple integrations. Among other results, we find exact rotating solutions containing magnetic monopoles, dipoles, quadrupoles, etc., coupled to scalar and to gravitational multipole fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001982001694
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    Paper (German National Licenses)
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