β Scribed by J.M Hobbs
No coin nor oath required. For personal study only.
The equations of motion of a charged particle moving in a general Riemannian space, derived by Hobbs [Ann. Phys. (N. Y.) 47, 141 (1968)], are applied to conformally flat spaces. For these spaces the awkward integral term appearing in the equations is shown to vanish identically. In consequence the "tail" associated with an electromagnetic wave is constant and induced solely by the gauge corresponding to the vector potential. A subset of these spaces, which includes those with the de Sitter line element, is found in which the principle of equivalence is satisfied for a charged particle.
π SIMILAR VOLUMES
Using only the general properties which the renormalized stress-energy tensor T,," should satisfy-and not relying on any assumptions associated with specific renormalization techniques-we derive the expression for Tuy for conformally invariant fields in conformally flat spacetimes of two and four di