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

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A body accelerating at 1g in space does create a gravitational field due to its mass, as per Newton's gravitational law. The acceleration itself is irrelevant in classical physics; the mass determines the gravitational influence. While relativistic effects can slightly alter this view, they are typically negligible. The equivalence principle suggests that an accelerating frame can mimic a gravitational field locally, but this is a coordinate choice rather than a physical effect. Ultimately, accelerating a body does not create a gravitational field in the traditional sense.
BigyanAdhikari
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Does a body accelerating at 1g in outer space create a gravitational field around it ?
 
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Why wouldn't it? And what is special about 1g?
 
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BigyanAdhikari said:
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.
 
BigyanAdhikari said:
Does a body accelerating at 1g in outer space create a gravitational field around it ?
If we choose to treat the accelerating body as being at rest and adopt an accelerating frame of reference in which it is at rest, the result is (locally) indistinguishable from a gravitational field. That is the equivalence principle.

However, this is not a physical effect. It is simply the result of choosing to use coordinates that are accelerating rather than inertial. The coordinates we use to describe a thing have no effect on that thing. With that in mind, I would say that no, accelerating a body does not create a gravitational field.
 
For fun I was trying to use energy considerations to determine the depth to which a solid object will sink in a fluid to reach equilibrium. The first approach that I tried was just to consider the change in potential energy of the block and the fluid as the block is lowered some unknown distance d into the fluid similar to what is shown in the answer to this post. Upon taking the limit as the vessel's cross sectional area approaches infinity I have an extra factor of 2 in the equilibrium...