Gravity and mass in General Relativity

[Mekon]

Hello all,
If there are two planets of identical size but very different mass, why does one have a higher gravity than the other given that space/time is curved by each in the same way? Or does space/time curvature depend not on the size of a body but its mass?
TIA
Mekon

 

[George Jones]

Spacetime curvature caused by a massive body depends on the body's size, mass, and spin. Curvature depends on the distribution and movement of mass/energy.

 

[HallsofIvy]

Hello all,
If there are two planets of identical size but very different mass, why does one have a higher gravity than the other given that space/time is curved by each in the same way? Or does space/time curvature depend not on the size of a body but its mass?
TIA
Mekon

Curvature depends upon "mass-energy". Where in the world did you get the idea that it depended on "size" (volume)?