Weber-like interactions and energy conservation

Details Weber-like interactions and energy conservation Weber-like interactions and energy conservation

1997-08-20

arxiv.org/abs/gr-qc/9708047v1

Found.Phys.Lett.10:393-401,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex, 11 pages, no figures

Scientific paper

10.1007/BF02764109

Velocity dependent forces varying as $k(\hat{r}/r)(1 - \mu \dot{r}^2 + \gamma r \ddot{r})$ (such as Weber force), here called Weber-like forces, are examined from the point of view of energy conservation and it is proved that they are conservative if and only if $\gamma=2\mu$. As a consequence, it is shown that gravitational theories employing Weber-like forces cannot be conservative and also yield both the precession of the perihelion of Mercury as well as the gravitational deflection of light.

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