# Acceleration at 1g in space -- Does it create a gravitational field?

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In summary, accelerating a body at 1g in outer space does create a gravitational field around it, as every mass has a gravitational field. However, this is not a physical effect, but rather a result of choosing to use accelerating coordinates. In classical physics, the mass of the body is what determines the gravitational field, while considering relativistic effects may require a small correction.

Does a body accelerating at 1g in outer space create a gravitational field around it ?

Why wouldn't it? And what is special about 1g?

nasu and vanhees71
Does a body accelerating at 1g in outer space create a gravitational field around it ?
Presumably the body has some mass, and every mass has a gravitational field, so yes. We can plug the mass into Newton's gravitational law ##F=Gm_1m_2/r^2## to see the effect of its gravitational field.

You posted this in the classical physics forum and as far as classica physics is concerned it is irrelevant that the body is accelerating - its mass is what it is, and that's what determines the gravitational field. If we were also considering relativistic effects we would have to make a small correction for the effects of the energy doing the accelerating, but in practice these effects are negligibly small.

vanhees71