A scalar potential ##\phi: \mathbb{R}^4\to\mathbb{R}## has the physical unit of energy per particle property, which can be charge or mass. Take the positional derivative and multiply by the particle property to get the force on the particle. So far gravitational and electric potential are the same.(adsbygoogle = window.adsbygoogle || []).push({});

Now, when the source of the potential, an electron on the one hand or just some mass on the other, is accelerated, the effects are quite different. For the electomagnetic case, the magnetic field, seemingly, pops out of nowhere. We suddenly have two interacting force fields, the electric and the magnetic.

There seems to be nothing equivalent for the gravitational field.

Can someone explain where the crucial difference is between the two potentials?

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# Principal Difference between electrostatic potntial and gravitational

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