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gr-qcOct 12, 2000
9
citations (OpenAlex)
authors
  • Sawa Manoff
institutions
  • Institute for Nuclear Research and Nuclear Energy
arXiv abstractPDF
paper

Auto-parallel equation as Euler-Lagrange's equation in spaces with affine connections and metrics

arXiv:gr-qc/0010048 · doi:10.1023/A:1001986202603

Abstract

The auto-parallel equation over spaces with affine connections and metrics is considered as a result of the application of the method of Lagrangians with covariant derivatives (MLCD) on a given Lagrangian density.

19 pages, LaTeX

References in corpus (2)

  • Conformal derivative and conformal transports over spaces with contravariant and covariant affine connections and metrics
  • Conformal derivative and conformal transports over spaces with an affine connection and metrics

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  • Metric-affine Geometries With Spherical Symmetry
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  • Frames of reference in spaces with affine connections and metrics
  • Deviation equation in Riemann-Cartan spacetime
  • Measuring the gravitational field in General Relativity: From deviation equations and the gravitational compass to relativistic clock gradiometry
  • Deviation equations of Synge and Schild over spaces with affine connections and metrics
  • Flows and particles with shear-free and expansion-free velocities in (L^-_n,g)- and Weyl's spaces
  • On the existence of a gyroscope in spaces with affine connections and metrics
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