General Relativity: An Introduction for Physicists · Problem 7.24

The equivalence principle and spacetime curvature — Hobson, Efstathiou & Lasenby

Physics · geodesic-deviation-newtonian-limit

Problem

In the weak-field, Newtonian, limit of general relativity, we may choose coordinates such that

g_{\mu\nu} = \eta_{\mu\nu} + h_{\mu\nu}

, where

|h_{\mu\nu}| \ll 1

, and we assume that all particle velocities are small compared with

c

. By considering the equation of geodesic deviation, show that the general-relativistic tidal force reduces to the Newtonian limit given in Exercise 7.23.

Related theory

Limit Superior And Limit Inferior

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