Gravitational Time and Length Change, Looking for mass formula

[mcjosep]

Hi, Just curious if anyone knows of a formula that would show how mass changes in a gravitational field? I have seen the formulas for gravitational time dilation and length contraction (which are rather similar) and was wondering is mass changes the same way.

Thanks

 

[phinds]

Mass does not change in a gravitational field.

 

[PeterDonis]

I have seen the formulas for gravitational time dilation and length contraction (which are rather similar)

What formulas have you seen for "gravitational length contraction"?

 

[mcjosep]

Just to pick an extreme, a 1kg ball is a meter away from the event horizon of a black hole. So, to an outside observer, time is almost not moving at all for the 1 kg ball and its size has shrunk to almost a point due to gravitational length and time dilation but the ball would still be 1 kg?

 

[mcjosep]

What formulas have you seen for "gravitational length contraction"?

hmm i just figured since Planck time and Planck length are related by a factor of c that they would change the same.

 

[PeterDonis]

its size has shrunk to almost a point due to gravitational length

What are you basing this on? What formula? Do you have a reference?

i just figured since Planck time and Planck length are related by a factor of c that they would change the same.

The Planck time and Planck length are not the same as the length of an object or its proper time.