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  • 1
    Electronic Resource
    Electronic Resource
    An initial value gravitational quadrupole radiation theorem (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 668-676 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A rigorous version of the quadrupole radiation formula is derived using the characteristic initial value formulation of a general relativistic fluid space-time. Starting from initial data for a Newtonian fluid, an algorithm is presented that determines characteristic initial data for a one-parameter family of general relativistic fluid space-times. At the initial time, a one-parameter family of space-times with this initial data osculates the evolution of the Newtonian fluid and has leading order news function equal to the third time derivative of the transverse Newtonian quadrupole moment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527601
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  • 2
    Electronic Resource
    Electronic Resource
    Cosmic Effects of Gravitational Waves (1972)
    [s.l.] : Nature Publishing Group
    Nature 239 (1972), S. 447-448 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Since our galaxy is typical, if the observed radiation is of galactic rather than cosmological origin then it must be assumed that all galaxies are radiating gravitationally at roughly the same rate. This leads to a large total amount of radiation which should be included in the gravitational ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/239447a0
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  • 3
    Electronic Resource
    Electronic Resource
    Logarithmic asymptotic flatness (1985)
    Springer
    Foundations of physics 15 (1985), S. 605-616 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present a general family of asymptotic solutions to Einstein's equation which are asymptotically flat but do not satisfy the peeling theorem. Near scri, the Weyl tensor obeys a logarithmic asymptotic flatness condition and has a partial peeling property. The physical significance of this asymptotic behavior arises from a quasi-Newtonian treatment of the radiation from a collapsing dust cloud. Practically all the scri formalism carries over intact to this new version of asymptotic flatness.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01882485
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  • 4
    Electronic Resource
    Electronic Resource
    The quadrupole radiation formula (1987)
    Springer
    General relativity and gravitation 19 (1987), S. 281-287 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A simple statement and derivation of the quadrupole radiation formula for selfgravitating systems is presented. The primary physical ingredient is the existence of a Newtonian limit for general relativity based upon a family of outgoing null cones, supplemented by a weak asymptotic flatness condition. This eliminates extraneous incoming gravitational waves that would otherwise obscure the physical meaning of the quadrupole formula.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761722
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  • 5
    Electronic Resource
    Electronic Resource
    Boost-rotation symmetric gravitational null cone data (1988)
    Springer
    General relativity and gravitation 20 (1988), S. 171-181 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The potential role of boost-rotation symmetric vacuum spacetimes as test beds for numerical studies of gravitational radiation is discussed. For application to null cone evolution codes, these spacetimes are analyzed in terms of their data on the preferred null cone left invariant by the symmetry group. On this cone, an explicit solution of the Bondi hypersurface and evolution equations is found. This solution has a smooth vertex, a smooth interior, and, except for polar singularities, admits a well-definedℐ +.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759325
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  • 6
    Electronic Resource
    Electronic Resource
    Book review (1980)
    Springer
    General relativity and gravitation 12 (1980), S. 1071-1073 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00768932
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  • 7
    Electronic Resource
    Electronic Resource
    The possibility of negative gravitational energy (1972)
    Springer
    General relativity and gravitation 3 (1972), S. 325-329 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The status and physical importance of the question “Can the energy of gravitational fields be negative?” is discussed. To study this question further a particular model of a gravitational shock wave has been developed. The energy corresponding to this model is a scalar functional of the two-geometry of the shock front. Values of the energy for special choices of the shock front have been calculated. These cases all give rise to positive energy, the energy becoming more positive as the shock front becomes more curved. However, no general proof is known to show that the energy is positive for all choices of two-geometries.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00759171
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  • 8
    Electronic Resource
    Electronic Resource
    Prescriptions for gravitational initial data as judged by a simple radiating model (1990)
    Springer
    General relativity and gravitation 22 (1990), S. 81-95 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Several methods of prescribing initial data for gravitational and matter fields, which are intended to eliminate extraneous radiation that is not produced by the matter source, are analysed in a simple exactly soluble radiating model. The model consists of an harmonic oscillator coupled to a scalar field along future light cones of Minkowski space time. In particular we analyze the asymptotic regime of the oscillator and find it is characterized essentially by two distinct decay modes. They differ in the way they behave both in the limit of small coupling constant and in a certain Newtonian limit. As a criterion to select initial data for the field with no extra radiation, we require that these initial data sets should put the oscillator from the start into the asymptotic regime. The underlying hypothesis here is that initial transients result from excitation of the oscillator by incoming radiation. We then see that the requirement of a uniform Newtonian limit leads to unique data for the scalar field for each arbitrary data set for the oscillator. We further find that this unique data set indeed satisfies our criterion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00769248
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  • 9
    Electronic Resource
    Electronic Resource
    Tensors, spinors, and functions on the unit sphere (1976)
    Springer
    General relativity and gravitation 7 (1976), S. 687-693 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A representation of tensors and spinors at a point of space-time as spin and conformally weighted functions on the unit sphere is derived. Methods for performing algebraic operations on tensors and spinors in this representation are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00770725
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  • 10
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    Shear-Free Gravitational Radiation (1969)
    American Physical Society
    Details
    Publication Date: 1969-09-25
    Print ISSN: 0031-899X
    Electronic ISSN: 1536-6065
    Topics: Physics
    Published by American Physical Society
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