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  • Articles  (4)
  • Physics  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Redefinition of position variables and the reduction of higher-order Lagrangians (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 127-134 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Single-time Lagrangians are treated in this paper, describing the dynamics of systems of point particles, which are given as formal power series in some ordering parameter and which may contain higher time derivatives in all terms but the leading one. An efficient method for eliminating the higher time derivatives directly on the Lagrangian level is presented. This method clarifies the meaning of using the lower-order equations of motion in higher-order terms in a Lagrangian. The method consists of an iterative use of "contact'' transformations in the jet prolongation of the extended configurations space and is called "the method of redefinition of position variables.'' Several examples from electrodynamics and relativistic gravity are treated explicitly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529135
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The ADM Hamiltonian at the postlinear approximation (1986)
    Springer
    General relativity and gravitation 18 (1986), S. 255-270 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The ADM Hamiltonian for a many-particle system is calculated up to the postlinear approximation, i.e., to the approximation that both the equations of motion for the particles and the equations of motion for the gravitational field in case of no-incoming radiation correctly result up to the postlinear approximation. The relation of this Hamiltonian to the ADM Hamiltonian obtained by a post-Newtonian approximation scheme which was applied up to the first radiation-reaction and radiation levels is discussed. From here the standard formulas for the mechanical angular momentum and energy losses as well as the radiated energy and angular momentum are deduced. Background logarithmic and logarithmic radiative terms are shown to be not present at our approximation if the condition of no-incoming radiation is fulfilled.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00765886
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  • 3
    Electronic Resource
    Electronic Resource
    Lagrangians forn point masses at the second post-Newtonian approximation of general relativity (1985)
    Springer
    General relativity and gravitation 17 (1985), S. 879-905 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the effect of an infinitesimal coordinate transformation on the Lagrangian and on the metric functional of a system ofn point masses. We show how to compute the Lagrangians ofn point masses at the second postNewtonian approximation of general relativity in different coordinate systems. The Lagrangians are shown to depend on the accelerations except in a special class of coordinates. This class includes the coordinates associated with the canonical formalism of Arnowitt, Deser, and Misner, but excludes most other coordinate systems used in the literature (notably the harmonic one).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00773685
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  • 4
    Electronic Resource
    Electronic Resource
    BOOK REVIEW: Proceedings of the 14th International Conference on General Relativity and Gravitation, edited by M. Francaviglia, G. Longhi, L. Lusanna, and E. Sorace (1998)
    Springer
    General relativity and gravitation 30 (1998), S. 1297-1299 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026611415513
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