Relativity versus Newtonian gravity

[James Nelson]

I asked recently on another thread about relativity and its affect on gravitation. I have been informed that gravity is due to how energy bends spacetime, not the Newtonian idea of mass or even the special "relativistic mass."

However this leaves me wondering why general relativity does not involve velocity in its equations. According to E=(mc^2)/sqrt(1-v^2/c^2), relative velocity does have an impact on the total energy of an object. If so, why is it that an object traveling relative to Earth doesn't produce a larger gravitational attraction to Earth than an object of equal rest mass that is stationary?

 

[DrStupid]

However this leaves me wondering why general relativity does not involve velocity in its equations.

It does. In GR the source of gravity is the stress-energy-tensor which depends on velocity.

 

[Dale]

I have been informed that gravity is due to how energy bends spacetime, not the Newtonian idea of mass or even the special "relativistic mass."

It is the stress energy tensor which includes the density of energy, momentum, and stress.