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6 - Solutions of Einstein’s Equations in Empty Space
Brian P. Dolan, National University of Ireland, Maynooth
Book:

Einstein's General Theory of Relativity

Published online:

15 June 2023

Print publication:

29 June 2023, pp 126-138
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Summary

In this chapter some empty space solutions of Einstein's are presented. The form of the Ricci tensor for a general spherical spherically symmetric static metric is given, from which the Schwarzschild solution is derived. Gravitational waves are presented as a solution of Einstein’s equations in empty space in a linear approximation.