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  • 1
    Digitale Medien
    Digitale Medien
    Wake-free waves in one and three dimensions (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 106-108 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: A recent paper by Gottlieb [J. Math. Phys. 29, 2434 (1988)] provides examples of acoustic wave equations, in various dimensions, that have nontrivial families of solutions that are progressing waves of order 1, and relates this to whether or not these equations satisfy Huygens' principle. A statement made in that paper related to Huygens' principle in one space dimension is clarified, and it is shown in this connection that, in general, the relationship between the possession of progressing wave solutions and the satisfaction of Huygens' principle is more complex than the situation described by Gottlieb. In addition, the attractive properties of progressing waves of order 1 are retained by progressing waves of any finite order, and we use this to generalize in several ways Gottlieb's results on "wake-free'' solutions of the acoustic equation in three dimensions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.529132
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  • 2
    Digitale Medien
    Digitale Medien
    Wave equations with the characteristic propagation property (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 1750-1753 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: Within the class of second-order linear self-adjoint wave equations in 1+1 dimensions, an explicit construction is given of probably all those with the characteristic propagation property, that is, those whose solutions are without tails.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527039
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  • 3
    Digitale Medien
    Digitale Medien
    Formal iteration scheme for scalar fields in some spherically symmetric spaces (1981)
    Springer
    General relativity and gravitation 13 (1981), S. 609-622 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The characteristic initial-value problem for the scalar wave equation in some spherically symmetrical geometries, including Reissner-Nordström exterior geometry, is considered. A modified Picard iteration making explicit use of the (known) static solutions yields a formula for the fields. The formulas extend in to the outer horizon, and from them are obtained useful expressions for the reflection and transmission amplitudes in terms of the static solutions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00757248
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  • 4
    Digitale Medien
    Digitale Medien
    Spherically symmetric space-times transparent to scalar multipole waves (1986)
    Springer
    General relativity and gravitation 18 (1986), S. 767-780 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract Using nonscattering potentials of Chang and Janis, a large class of spherically symmetric space-times is constructed on which all multipole solutions to the minimally coupled scalar wave equation are expressible in terms of characteristic data functions in essentially as simple a fashion as for flat space-time. The space-times are transparent to multipole waves in the same sense that flat space-time is. Both conformally flat and not conformally flat space-times are obtained. Some examples are discussed which show that the variety of transparent space-times is large even within the class of Robertson-Walker spaces.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00768639
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  • 5
    Digitale Medien
    Digitale Medien
    Note on Kantowski-Sachs spacetimes (1988)
    Springer
    General relativity and gravitation 20 (1988), S. 603-606 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract It is shown that a portion of de Sitter space can be expressed in the formds 2=dt 2−A 2 (t)dr 2−B 2(t)(dθ 2+sin 2 θdφ 2). It follows that it is a Kantowski-Sachs spacetime, according to the usual definition. This disproves the statement sometimes seen in the literature that all Kantowski-Sachs spacetimes are anisotropic.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00758916
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  • 6
    Digitale Medien
    Digitale Medien
    Calculating Debye potentials from data on ℐ or ℋ (1982)
    Springer
    General relativity and gravitation 14 (1982), S. 1061-1084 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract Using the formalism of Cohen and Kegeles equations are obtained for arbitrary spin radiation field Debye potentials in Reissner-Nordström geometries, and a formal series solution is presented. For the case of integer spin the series is modified to what appears to be a more natural form. In the particular case of vanishing spin it is shown that in some important cases the modified series converges to a solution of the Debye potential equation, which is the scalar wave equation, and is simply related to characteristic initial data given on either H orI.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00756288
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  • 7
    Digitale Medien
    Digitale Medien
    An approximation scheme for scalar waves in a Reissner-Nordström geometry (1979)
    Springer
    General relativity and gravitation 11 (1979), S. 71-77 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The Reissner-Nordström geometry is approximated by a certain sequence of conformally flat shells. As an example of the use of this approximation, spectral curves of transmission coefficientT(w) vs. frequencyw are calculated for spherical waves of monochromatic scalar radiation imploding on the charged black hole by solving the scalar wave equation within each conformally flat space and matching across the interfaces. Spectral curves are found for several values of the charge that are less than or equal to the mass. For small charge, the results agree with those previously found in the Schwarzschild case.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00756673
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  • 8
    Digitale Medien
    Digitale Medien
    Progressing wave perturbations of cosmological spacetimes (1996)
    Springer
    General relativity and gravitation 28 (1996), S. 163-177 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We determine the large class of Robertson-Walker spacetimes whose first-order, linear, isentropic perturbations can be expressed in closed form, and the closed form perturbations are written down. It is shown that the class includes several well-known spacetimes including, for example, spatially flat dust and the radiation filled universe.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02105421
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  • 9
    Digitale Medien
    Digitale Medien
    Conformal invariance under spatial inversion of extreme Reissner-Nordström black holes (1984)
    Springer
    General relativity and gravitation 16 (1984), S. 789-792 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The extreme Reissner-Nordström geometry is shown to be conformally invariant under a spatial inversion. Generalization of this result to other geometries is briefly discussed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00762916
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  • 10
    Digitale Medien
    Digitale Medien
    Progressing waves on spherical spacetimes (1988)
    Springer
    General relativity and gravitation 20 (1988), S. 343-358 
    Details
    ISSN: 1572-9532
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract A family of spherically symmetrical spacetimes that are transparent to minimally coupled scalar multipole waves is investigated. The concept of transparency is reformulated in terms of the established concept of “progressing waves.” The set of spherically symmetric spacetimes and the family of wave equations for which the transparency condition can be shown to hold is generalized.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00758959
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