# 9.8 m/s^2

Tags:
1. May 8, 2015

### Jerry Friedman

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

2. May 8, 2015

### Orodruin

Staff Emeritus
Yes. The proper acceleration of the surface.

3. May 8, 2015

### Mentz114

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.

4. May 8, 2015

### Jerry Friedman

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