Motions and world-line deviations in Einstein-Maxwell theory
نویسندگان
چکیده
We examine the motion of charged particles in gravitational and electro-magnetic background fields. We study in particular the deviation of world lines, describing the relative acceleration between particles on different space-time trajectories. Two special cases of background fields are considered in detail: (a) pp-waves, a combination of gravitational and electro-magnetic polarized plane waves travelling in the same direction; (b) the Reissner-Nordstrøm solution. We perform a nontrivial check by computing the precession of the periastron for a charged particle in the Reissner-Nordstrøm geometry both directly by solving the geodesic equation, and using the world-line deviation equation. The results agree to the order of approximation considered. ∗ University of Kazan; Kazan, Tatarstan (Russia) e-mail: [email protected] ∗∗ Univ. Pierre et Marie Curie CNRS ESA 7065 address: Tour 22, Boite 142; 4 Place Jussieu, 75005 Paris, France e-mail: [email protected] † NIKHEF; address: P.O. Box 41882, 1009 DB Amsterdam, the Netherlands e-mail: [email protected]
منابع مشابه
Stability of higher derivative modifications of Einstein - aether theory
A time-like unit vector field is used to generalize Einstein's gravity. The resulting theory, called the Einstein-aether theory, consists of a minimal coupling between an aether field and gravity. Inspired by the Bopp-Podolsky electrodynamics, which is well-known for removing the singularity at the point charge, we generalized the Einstein-aether theory by adding such a higher order self-intera...
متن کاملOn a Classical, Geometric Origin of Magnetic Moments, Spin-Angular Momentum and the Dirac Gyromagnetic Ratio
By treating the real Maxwell Field and real linearized Einstein equations as being imbedded in complex Minkowski space, one can interpret magnetic moments and spinangular momentum as arising from a charge and mass monopole source moving along a complex world line in the complex Minkowski space. In the circumstances where the complex center of mass world-line coincides with the complex center of...
متن کاملPhysics in Neuroscience
Classical Physics Classical physics is a theory of nature that originated with the work of Isaac Newton in the seventeenth century and was advanced by the contributions of James Clerk Maxwell and Albert Einstein. Newton based his theory on the work of Johannes Kepler, who found that the planets appeared to move in accordance with a simple mathematical law, and in ways wholly determined by their...
متن کاملColliding Plane Wave Solutions in String theory Revisited
We construct the colliding plane wave solutions in the higher-dimensional gravity theory with fluxes and dilaton, with a more general ansatz on the metric. We consider two classes of solutions to the equations of motions and after imposing the junction conditions we find that they are all physically acceptable. In particular, we manage to obtain the higher-dimensional Bell-Szekeres solutions in...
متن کاملUnified Theory Replaces Relativity
A wave exists only in its propagating medium but Einstein erred to discard the medium for light wave and to introduce the non-existent 4-D spacetime continuum instead. It denied him the chance to address the intrinsic wave-quantum Unity of light and predict the new entity of ‘basic substance’ to compose all forms of E & m so compellingly demanded for the inter-conversions of E & m by the eqn. E...
متن کامل