General relativity in Newtonian form

Document Type

Article

Publication Date

6-1-1990

Abstract

It is shown how the use of coordinates where time is measured with clocks moving radially in a spherically symmetric gravitational field leads to general relativistic dynamical expressions that are exactly identical to corresponding expressions in Newtonian theory. The general formalism is developed for the case where the stress-energy tensor is that of a perfect fluid. Expressions like the Newtonian inverse square gravitational law, the Newtonian equation of continuity for fluid flow, Newtonian conservation of energy, etc., follow quite naturally from the fully-fledged exact general relativistic equations. Specific examples involving cosmology and gravitational collapse are given. © 1990 Plenum Publishing Corporation.

Identifier

0000033708 (Scopus)

Publication Title

General Relativity and Gravitation

External Full Text Location

https://doi.org/10.1007/BF00755987

e-ISSN

15729532

ISSN

00017701

First Page

671

Last Page

681

Issue

6

Volume

22

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