The gravitational force of energy

anorlunda

Energy gravitates. Is is so simple as to replace M in gravitational euqations with E/c*c ?

F=[itex]\frac{G*M\underline{1}*M\underline{2}}{DM\underline{1,2}}[/itex]=F=[itex]\frac{G*E\underline{1}*E\underline{2}}{c\overline{4}*DM\underline{1,2}}[/itex]

anorlunda

Whoops, forgive me for screwing up the latex. I clicked on post too early.

Drakkith

Wouldn't you just replace it with E after finding the equivalent energy content for an objects mass?

DrZoidberg

If it's internal energy, e.g. heat or chemical, yes it is that simple. I'm not sure about kinetic energy though. Especially when the object's velocity is close to c.

Khashishi

For kinetic energy, I believe the answer lies in the Einstein field equations, but I don't know how to solve the Weyl curvature. But, there is a frame dragging effect from a moving mass, which creates a gravity which isn't radial. There's a formal analogy to magnetism, called gravitoelectromagnetism https://en.wikipedia.org/wiki/Gravitoelectromagnetism, which might answer your question.

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anorlunda	The gravitational force of energy Tweet Energy gravitates. Is is so simple as to replace M in gravitational euqations with E/cc ? F=[itex]\frac{GM\underline{1}M\underline{2}}{DM\underline{1,2}}[/itex]=F=[itex]\frac{GE\underline{1}E\underline{2}}{c\overline{4}DM\underline{1,2}}[/itex]

Drakkith Recognitions: Gold Member	Wouldn't you just replace it with E after finding the equivalent energy content for an objects mass?

DrZoidberg	The gravitational force of energy If it's internal energy, e.g. heat or chemical, yes it is that simple. I'm not sure about kinetic energy though. Especially when the object's velocity is close to c.

Khashishi	For kinetic energy, I believe the answer lies in the Einstein field equations, but I don't know how to solve the Weyl curvature. But, there is a frame dragging effect from a moving mass, which creates a gravity which isn't radial. There's a formal analogy to magnetism, called gravitoelectromagnetism https://en.wikipedia.org/wiki/Gravitoelectromagnetism, which might answer your question.