Spherically symmetric spacetime — GR tests

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology

Second edition

Published in print November 2009 | ISBN: 9780199573639
Published online February 2010 | e-ISBN: 9780191722448 | DOI:

Series: Oxford Master Series in Physics

                      Spherically symmetric spacetime — GR tests

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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

Chapter.  11991 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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