Chapter

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: http://dx.doi.org/10.1093/acprof:oso/9780199573639.003.0007

Series: Oxford Master Series in Physics

                      Spherically symmetric spacetime — GR tests

Show Summary Details

Preview

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

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.