The gravitational force of energy

[anorlunda]

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

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

 

[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.