Gravity in General Relativity and Earth's Surface

[Jerry Friedman]

Is there something in General Relativity whose value is 9.8 m/s² at the surface of the Earth?

 

[Orodruin]

Yes. The proper acceleration of the surface.

 

[Mentz114]

Is there something in General Relativity whose value is 9.8 m/s² at the surface of the Earth?

The acceleration of the stationary observer in the spherically symmetric vacuum according to GR is $a=\frac{m}{r^2\sqrt{1-2m/r}}$ (up to a sign).

If $r>>m$ this is very close to Newtons value.

 

[Jerry Friedman]

Thank you, Orodruin and Mentz114. I may be back with another question.