Linear equations for the gravitational field

Physics

Scientific paper

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Electromagnetic Fields, Gravitational Fields, Linear Equations, Relativity, Charged Particles, Coriolis Effect, Dipole Moments, Gravitational Waves, Maxwell Equation, Wave Propagation

Scientific paper

On introducing a new field (called Heavisidian field) which depends on the velocities of gravitational charges in the same way as a magnetic field depends on the velocities of elastic charges, it is shown that a gravitational field may be written with linear covariant equations in the same way as the electromagnetic field. With such equations some important formulae of general relativity, such as those for gravitational radiation and the Coriolis force, are easily reobtained up to a factor of four. Lense-Thirring precession is the equivalent of Larmor precession. The possibility of reobtaining with this formulation the remaining famous effects of general relativity is discussed. This may be important because, if gravitational fields can be written in a tensorial form similar to electromagnetism conversely, the latter could be reconsidered in terms of space curvature.

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