I would like to ask about gravitational mass. I know inertial mass is changing by motion (speed) according to $m=\frac{m_o}{(1-v^2/c^2)^{1/2}}$ And also that is inertial mass which sits in $E=mc^2$. If the statements above is correct, now how about gravitational mass? Does it change with motion (speed)? And what mass should be used for general gravitational formula $F=\frac{GmM}{r^2}$? should we use $m_o$ (rest mass) regardless of speed of the object? Or should we use $m=\frac{m_o}{(1-v^2/c^2)^{1/2}}$ to substitute in $F=\frac{GmM}{r^2}$? In other words does mass equivalence principle (inertial mass=gravitational mass) hold in high speeds?
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