The motion of particles in general relativity beyond the geodetic approximation

Details The motion of particles in general relativity beyond the geodetic approximation The motion of particles in general relativity beyond the geodetic approximation

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ncimb..24..197f&link_type=abstract

Nuovo Cimento, Sezione B, vol. 24 B, Dec. 11, 1974, p. 197-241.

Physics

Coordinate Transformations, Equations Of Motion, Particle Motion, Relativity, Covariance, Field Theory (Physics), Gravitation Theory, Hamiltonian Functions, Integral Equations, Particle Mass, Tensors, Variational Principles

Scientific paper

A tensorial surface integral relationship which is equivalent to the Einstein field equations for empty space is used to derive the equation of motion of a finite-mass monopole correct to terms proportional to the square of the mass of the particle. The resulting equation of motion is covariant under both continuous transformations of the four coordinates and also under singular (mass-dependent) coordinate transformations. No infinities occur in the calculations.

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