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Relativity, Gravitation and CosmologyA Basic Introduction$
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Ta-Pei Cheng

Print publication date: 2009

Print ISBN-13: 9780199573639

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199573639.001.0001

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Spherically symmetric spacetime — GR tests

Spherically symmetric spacetime — GR tests

Chapter:
(p.117) 7 Spherically symmetric spacetime — GR tests
Source:
Relativity, Gravitation and Cosmology
Author(s):

Ta-Pei Cheng

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199573639.003.0007

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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