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On the General Solution to Einstein's Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology: Difference between revisions

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Revision as of 09:34, 21 July 2026

Scientific Paper
TitleOn the General Solution to Einstein\'s Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology
Read in fullLink to paper (Internet Archive)
Author(s)Stephen John Crothers
KeywordsEinstein's Vacuum Field, Point-Mass, Relativistic Cosmology
Published2005
JournalProgress In Physics
Volume3
Pages7-18

Read the full paper here (archived copy — the original link is no longer available)

Abstract

It is generally alleged that Einstein?fs theory leads to a finite but unbounded universe. This allegation stems from an incorrect analysis of the metric for the point-mass when ?? <> 0. The standard analysis has incorrectly assumed that the variable r denotes a radius in the gravitational field. Since r is in fact nothing more than a real-valued parameter for the actual radial quantities in the gravitational field, the standard interpretation is erroneous. Moreover, the true radial quantities lead inescapably to ??=0 so that, cosmologically, Einstein?fs theory predicts an infinite, static, empty universe