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  • 1
    Electronic Resource
    Electronic Resource
    Head-on collision of gravitational plane waves with noncollinear polarization: A new class of analytic models (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 1054-1064 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A new four-parameter class of exact solutions of Einstein's field equations is obtained, using the inverse scattering method of Belinsky and Zakharov. Its members represent the head-on collision of a variably polarized gravitational plane wave with one having constant polarization and, in general, different profile, or with an infinitely thin shell of null dust. In some of these models no curvature singularity develops along the future boundary of the region of interaction. In certain cases the singularity avoidance is the direct result of the noncollinear polarization of the waves involved in the collision.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529767
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  • 2
    Electronic Resource
    Electronic Resource
    Plane walls interacting with gravitational waves and matter fields (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2863-2868 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Plane walls with reflection symmetry are studied. A method for generating such solutions to the Einstein equations is developed. It is found that plane wall solutions require very strong restrictions on the metric coefficients and on their derivatives. Using the generalized Bianchi identities, the interaction of plane walls with gravitational waves and matter fields is investigated. In particular, it is shown that a plane wall, in general, interacts with both gravitational plane waves and matter fields. But, a plane domain wall interacts only with matter fields. No matter whether the space-time out of the wall is curved or not, a plane domain wall is always repulsive.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529077
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  • 3
    Electronic Resource
    Electronic Resource
    On the gravitational interaction of plane symmetric clouds of null dust (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1017-1024 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Plane symmetric solutions of the Einstein field equations are considered, solutions that represent the collision of oppositely moving clouds of initially unidentified massless particles—clouds of "null dust.'' In terms of specific examples it is shown that the corresponding Cauchy problem remains ambiguous even when the Riemann tensor is free of any kind of discontinuity. By solving the corresponding Einstein–Klein–Gordon and Einstein–Maxwell–Weyl field equations the ambiguity is resolved and space-time models are constructed representing, among others, various types of collisions between a pair of scalar wave pulses as well as of a pulse of electromagnetic waves with a cloud of neutrinos.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529377
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  • 4
    Electronic Resource
    Electronic Resource
    Gravitational interaction of plane gravitational waves and matter shells (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 1065-1072 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Weyl, Ricci scalars and the Bianchi identities are explicitly given in terms of distributions. Using the obtained Bianchi identities, the gravitational interaction of colliding shock or impulsive gravitational plane waves or matter shells is studied. It is found that, when two impulsive shells of null dust collide, they necessarily produce a tail. The tail could be a "Coulomb-like'' gravitational field, or a matter current, or a mixture of both.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529768
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  • 5
    Electronic Resource
    Electronic Resource
    Response to "Comment on ‘Colliding null shells of matter' " [J. Math. Phys. 41, 8351 (2000)] (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 8354-8355 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1314898
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  • 6
    Electronic Resource
    Electronic Resource
    The interaction of outgoing and ingoing spherically symmetric null fluids (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 3663-3675 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Using similarity methods, the Einstein field equations coupled to two oppositely directed null fluids for a spherically symmetric space–time are reduced to an autonomous system of three ordinary differential equations. The space of solutions is studied in some detail and solutions are found that represent: (i) the backscattering of an initially outgoing thick null fluid shell in a background gravitational field with a central naked singularity, (ii) the formation of strong space–time singularities by the interaction of thick null fluid shells, (iii) the interaction of a core of null radiation with an incoming shell of null fluid, and (iv) cosmological models of Kantowski–Sachs type with initial and final singularities clothed by apparent horizons. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530989
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  • 7
    Electronic Resource
    Electronic Resource
    Geodesic motion and confinement in van Stockum space–time (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 1982-1990 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Geodesic motion of test particles in van Stockum space–time, which represents the internal gravitational field produced by a rigidly rotating dust cylinder, is studied. In particular, it is found that confinement occurs quite generally in the radial direction, while the motion in the axial direction is free. The possible relevance of the confinement to the extragalactic jet formation is pointed out. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531489
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  • 8
    Electronic Resource
    Electronic Resource
    Space–time defects (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 3023-3042 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The theory of distributions in Riemannian spaces due to Lichnerowicz is used to obtain exact solutions to the Einstein equations for space–times that have null Riemann–Christoffel curvature tensors everywhere except on a hypersurface. The cases of spherically, cylindrically, plane, and axially symmetric space–times in which the matter content of the singular surfaces can be described by a barotropic equation of state are treated in some detail. Solutions with null curvature tensor, except on (a) concentric spheres, (b) concentric cylinders, (c) parallel planes, and (d) parallel discs, are exhibited and studied. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531009
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  • 9
    Electronic Resource
    Electronic Resource
    Response to comments on "Optimization of consecutive reactions with recovery and reuse of unconverted reactant" (1988)
    s.l. : American Chemical Society
    Industrial & engineering chemistry research 27 (1988), S. 214-214 
    Details
    ISSN: 1520-5045
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/ie00073a043
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  • 10
    Electronic Resource
    Electronic Resource
    Letter: On the Back Reaction of Gravitational and Particle Emission and Absorption from Straight Thick Cosmic Strings: A Toy Model (1999)
    Springer
    General relativity and gravitation 31 (1999), S. 1769-1776 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The emission and absorption of gravitationalwaves and massless particles of an infinitely longstraight cosmic string with finite thickness arestudied. It is shown in a general term that the backreaction of the emission and absorption always makes thesymmetry axis of the string singular. The singularity isa scalar singularity and cannot be removed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026770318472
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