Calculating Curvature of Space-Time for a Body of Mass

[Enos]

What equation do you use to find the curvature a body of mass creates? I know the answer for the suns mass is 1.75 arc-seconds. So if I took the g of the sun and divided it by the g of the Earth and divided 1.75 arc-seconds by the ratio of the g difference would I get the Earth's curvature. Which is about 0.0626 arc-seconds from what I'm doing.

If I knew the formula that is used to get the answer for the sun things would be so much easier. Thanks for any help.

 

[dextercioby]

You're mixing them up.That 1.75 arcseconds is the angle of deflection of a ray of light in passing through Sun's Schwarzschild field.

You can compute for Earth,simply inserting the appropriate constants into the deflection formula.It's approximately 3300 times less.

Daniel.

 

[Enos]

Can you share the appropriate constants and the deflection formula? :)

 

[dextercioby]

Sure.

$$\Delta\phi=4\frac{G m_{source}}{c^{2}R_{rource}}$$

Source:M.Carmeli,"Group Theory and General Relativity",McGraw-Hill,1977,p.155.

Daniel.

 

[Enos]

Thank you. :)