Gravity in General Relativity and Earth's Surface

Jerry Friedman
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Is there something in General Relativity whose value is 9.8 m/s2 at the surface of the Earth?
 
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Yes. The proper acceleration of the surface.
 
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Jerry Friedman said:
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.
 
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Thank you, Orodruin and Mentz114. I may be back with another question.
 

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