arXiv subjects

F. S. Felber

Publications and source records attributed to F. S. Felber.

5 recordsLinked to original sources

arXiv2009

Weak 'Antigravity' Fields in General Relativity

Within the weak-field approximation of general relativity, new exact solutions are derived for the gravitational field of a mass moving with arbitrary velocity and acceleration. A mass having a constant velocity greater than 3^-1/2 times the speed of light gravitationally repels other masses at rest within a narrow cone. At high Lorentz factors (gamma >> 1), the force of repulsion in the forward direction is about -8(gamma^5) times the Newtonian force, offering opportunities for laboratory tests of gravity at extreme velocities. One such experiment is outlined for the Large Hadron Collider.

gr-qc↗

arXiv2005

Source-region calculation of dipole power

An exact calculation of the retarded electric field in the source region of a system of individual charges, expanded to third order in velocity, shows that all nonrelativistic accelerated charges in a system emit dipole electromagnetic energy at the Larmor rate. In general, some of the emitted dipole power is reabsorbed by doing work on other charges in the system, and some is radiated. If the system has zero net dipole moment, all the emitted dipole power is reabsorbed, and none is radiated.

physics.plasm-ph↗

arXiv2005

New Exact Solutions of Differential Equations Derived by Fractional Calculus

Fractional calculus generalizes the derivative and antiderivative operations of differential and integral calculus from integer orders to the entire complex plane. Methods are presented for using this generalized calculus with Laplace transforms of complex-order derivatives to solve analytically many differential equations in physics, facilitate numerical computations, and generate new infinite-series representations of functions. As examples, new exact analytic solutions of differential equations, including new generalized Bessel equations with complex-power-law variable coefficients, are derived.

math.CA↗

arXiv2005

Dipole radio-frequency power from laser plasmas with no dipole moment

The radio-frequency power radiated from laser-target plasmas in a vacuum can be orders of magnitude greater than expected from such sources that have a negligible electric dipole moment. A model combining the Tidman-Stamper circuit model of a laser-target plasma with the theory of radiation from currents immersed in plasmas, however, predicts scaling of electric-dipole power radiated from laser plasmas in agreement with experiments.

physics.plasm-ph↗

arXiv2005

Exact Relativistic 'Antigravity' Propulsion

The Schwarzschild solution is used to find the exact relativistic motion of a payload in the gravitational field of a mass moving with constant velocity. At radial approach or recession speeds faster than 3^-1/2 times the speed of light, even a small mass gravitationally repels a payload. At relativistic speeds, a suitable mass can quickly propel a heavy payload from rest nearly to the speed of light with negligible stresses on the payload.

gr-qc↗