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  • 1
    Electronic Resource
    Electronic Resource
    Generalized Weyl-type gauge geometry (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2030-2031 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Weyl-type gauge geometry based on gauging by GL(4, R) and presented in an earlier paper is developed from an alternative point of view, which emphasizes independent geometric objects as the building blocks. This approach avoids most of the elaborate calculations of the earlier paper, and thus contributes to an intuitive understanding. The new building blocks, which are the metric and two different affine connections, uniquely determine the tensorial structures of the earlier paper, and vice versa.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526874
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  • 2
    Electronic Resource
    Electronic Resource
    HAMILTON-JACOBI THEORY WITH MIXED CONSTRAINTS (1971)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 172 (1971), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1971.tb34955.x
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  • 3
    Electronic Resource
    Electronic Resource
    Besprechungen (1954)
    Springer
    Naturwissenschaften 41 (1954), S. 264-268 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00634962
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  • 4
    Electronic Resource
    Electronic Resource
    Simplification of the Hamilton-Jacobi functional of general relativity (1970)
    Springer
    International journal of theoretical physics 3 (1970), S. 255-256 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In follow-up of an earlier paper by Komar it is shown that the Lagrangian of general relativity can be chosen so thatS=∫p mngmnd3x. This result holds without the requirement of special boundary conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00669752
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  • 5
    Electronic Resource
    Electronic Resource
    The coordinate group symmetries of general relativity (1972)
    Springer
    International journal of theoretical physics 5 (1972), S. 15-28 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00671650
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  • 6
    Electronic Resource
    Electronic Resource
    Quantum gravity at spatial infinity? (1989)
    Springer
    General relativity and gravitation 21 (1989), S. 271-278 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The nonquantum treatment of the gravitational field equations at spatial infinity yields formal solutions, one-half of which lend themselves readily to a physical interpretation in terms of gravitational fields in space-time, whereas the other half involve unacceptable singularities when extended to approach light-like infinity. The quantization of the field equations at spatial infinity formally is straightforward, the Hamiltonian being purely quadratic in the canonical field variables, but the discard of half of the classical solutions produces serious difficulties in the quantum version, for which a possible remedy is tentatively proposed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00764099
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  • 7
    Electronic Resource
    Electronic Resource
    Modified supersymmetries (1978)
    Springer
    International journal of theoretical physics 17 (1978), S. 377-386 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An attempt is made to modify super-symmetry groups and the algebra of the underlying elements, so that the mappings involved in the realizations are those of an ordinary manifold on itself. The resulting group possesses representations that transform constant tensors and spinors among each other. Applications to fiber bundles lead to fields over general space-time manifolds whose structure group is the modified super-symmetry group.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00674108
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  • 8
    Electronic Resource
    Electronic Resource
    On a class of harmonic functions at spatial infinity (1987)
    Springer
    General relativity and gravitation 19 (1987), S. 371-374 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Solutions of Laplace's equation at spatial infinity can be related to solutions of Maxwell's equations in space-time. In this paper it is shown that half of these spi-harmonic solutions correspond to electromagnetic fields with singularities on the light cone.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00767277
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  • 9
    Electronic Resource
    Electronic Resource
    The Hamiltonian in relativistic systems of interacting particles (1982)
    Springer
    General relativity and gravitation 14 (1982), S. 731-740 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamics of a system of relativistically interacting particles is determined by a set of constraints, some combination of which has been frequently identified with the Hamiltonian. These constraints differ from the generators of the Poincaré transformations, among whichp 0 generates translations along the time axis and hence is to be considered as the energy of the system. There are thus grounds for consideringP 0 as the appropriate Hamiltonian. In this paper we establish a close relationship between transformations generated by the constraints and those generated by the Poincaré generators. In particular we find that the true Hamiltonian is a rather complicated but well-defined function ofp 0 and all the constraints. We show that the generators of the entire algebra of the Poincaré group can be realized in such a fashion that the Hamiltonian is correctly included among them, and such that particle world lines in Minkowski space-time generated by this Hamiltonian transform correctly under the Poincaré group.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00756156
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  • 10
    Electronic Resource
    Electronic Resource
    Invariant noncanonical mappings of singular theories. II (1975)
    Springer
    General relativity and gravitation 6 (1975), S. 3-7 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In a paper of the same title published in Physical Revview Dit was shown that in singular theories (i.e. theories incorporating constraints) non-canonical infinitesimal mappings that map equivalence classes intact on each other lead to the divergence of a vector field associated with the mapping constant throughout the equivalence class. The infinitesimal mappings form the germ of the group of finite mappings of equivalence classes on each other that change the form of the symplectic tensor field. Any non-canonical coordinate system on phase space thus obtained defines a scalar density field that is constant over an equivalence class. The constant of the motion obtained earlier represents the infinitesimal deviation of this new field from unity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00766593
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