When you get an answer wrong, find exactly where you made the mistake. Did you misinterpret a physical concept? Did you make an algebraic error? Did you mix up upper and lower indices? Tracking your mistakes prevents you from repeating them. Final Thoughts
ds2=−(1−2GMc2r)c2dt2+(1−2GMc2r)-1dr2+r2dθ2+r2sin2θdϕ2d s squared equals negative open paren 1 minus the fraction with numerator 2 cap G cap M and denominator c squared r end-fraction close paren c squared d t squared plus open paren 1 minus the fraction with numerator 2 cap G cap M and denominator c squared r end-fraction close paren to the negative 1 power d r squared plus r squared d theta squared plus r squared sine squared theta d phi squared For a static observer ( ), the proper time interval relates to the coordinate time interval When you get an answer wrong, find exactly
Knowing if you prefer or conceptual proofs will help narrow down the best textbooks. Share public link Did you mix up upper and lower indices
The initial particle is at rest, so its three-momentum . Its energy is its rest energy Share public link The initial particle is at
outside a Schwarzschild black hole. A second static observer rests further away at