On the Tetrad Formulation of the Equations of Motion in General Relativity

Details On the Tetrad Formulation of the Equations of Motion in General Relativity On the Tetrad Formulation of the Equations of Motion in General Relativity

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003ap.....46..496k&link_type=abstract

Astrophysics (English translation of Astrofizika), v. 46, Issue 4, p. 496-501 (2003).

Astronomy and Astrophysics

Astrophysics

Relativity - Equations Of Motions

Scientific paper

It is shown that the equation of motion Du j/Ds = (e/mc 2)F ji u i , a natural generalization to the curved spacetime of the Heaviside-Lorentz law of ponderomotive force, is equivalent to the metric independent and covariant Van Dantzig's equations of motion dx j ∂[jpi] = 0 or L v p i = 0, where p i is the conjugate momentum 4-vector and v a vector determined by the condition p i v i, only with respect to holonomic coordinates. With respect to an anholonomic system, the Heaviside-Lorentz equation is a particular case of the VD equations valid for a privileged class of anholonomic frames, those consisting of orthogonal unit vectors.

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