Einstein's Curvature for Nonlocal Gravitation of Gesamt Energy Carriers

Publication date: 13 March 2006

Abstract: The intrinsic metric symmetries for energy-momentum in warped space-time universally reinforce strict spatial flatness in the GR metric formalism. The passive/active energy-charge for the 1686, 1913, and 1915 gravitational laws maintains the universal free fall in non-empty material space of nonlocal elementary (radial) energies. The known planetary perihelion precession, radar echo delay, and gravitational light bending can be explained by the singularity-free metric solution without departure from Euclidean spatial geometry. Non-Newtonian flatspace precessions are expected for non-point orbiting gyroscopes exclusively due to the GR inhomogeneous time in the Earth's radial energy-charge. The self-contained SR-GR relativity of {it gesamt} particle-field carriers of inertial energy relies on the Principle of Equivalence for geometrization of the r^{-4} continuous particle without references to Newton's mass-to-mass attraction. The post-Newtonian logarithmic potential for distributed particle densities is also the exact solution to Maxwell's equations with the analytical r^{-4} electric charge density instead of the delta-operator density.

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Equations of motion in general relativity and gravitational theory (83C10)

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