Spherically symmetric spacetime — GR tests
A spherically symmetric metric has two unknown scalar metric functions. The Schwarzschild solution to the GR field equation is presented. An embedding diagram is used to visualize such a warp space. GR predicts a solar deflection of a light ray that is twice as large as that implied by the equivalence principle. We present a brief discussion of gravitational lensing, with the lens equation derived. The precession of Mercury's perihelion and the Shapiro time delay of a light ray are worked out as successful tests of general relativity.
Keywords: Schwarzschild solution, spherically symmetric metric, GR tests, embedding diagram, solar deflection of light, gravitational lensing, lens equation, precession, Mercury's perihelion, Shapiro time delay
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