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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{{Infobox paper | {{Infobox paper | ||
| title = On the General Solution to Einstein's Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology | | title = On the General Solution to Einstein\'s Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology | ||
| url = [https://web.archive.org/web/20100928140011/http://ptep-online.com/index_files/2005/PP-03-02.PDF Link to paper (Internet Archive)] | |||
| author = [[Stephen John Crothers]] | | author = [[Stephen John Crothers]] | ||
| keywords = [[Einstein's Vacuum Field]], [[Point-Mass]], [[Relativistic Cosmology]] | | keywords = [[Einstein's Vacuum Field]], [[Point-Mass]], [[Relativistic Cosmology]] | ||
| published = 2005 | | published = 2005 | ||
| journal = [[Progress In Physics]] | | journal = [[Progress In Physics]] | ||
| volume = | | volume = 3 | ||
| pages = 7-18 | | pages = 7-18 | ||
}} | }} | ||
'''Read the full paper''' [https://web.archive.org/web/20100928140011/http://ptep-online.com/index_files/2005/PP-03-02.PDF here] ''(archived copy — the original link is no longer available)'' | |||
==Abstract== | ==Abstract== | ||
It is generally alleged that Einstein | It is generally alleged that Einstein's 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 <em>r</em> denotes a radius in the gravitational field. Since <em>r</em> 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's theory predicts an infinite, static, empty universe | ||
[[Category:Scientific Paper|general solution einstein 's vacuum field point-mass lambda consequences relativistic cosmology]] | [[Category:Scientific Paper|general solution einstein 's vacuum field point-mass lambda consequences relativistic cosmology]] | ||
[[Category:Cosmology|general solution einstein 's vacuum field point-mass lambda consequences relativistic cosmology]] | [[Category:Cosmology|general solution einstein 's vacuum field point-mass lambda consequences relativistic cosmology]] | ||
Latest revision as of 15:06, 22 July 2026
| Scientific Paper | |
|---|---|
| Title | On the General Solution to Einstein\'s Vacuum Field for the Point-Mass when lambda ???0 and Its Consequences for Relativistic Cosmology |
| Read in full | Link to paper (Internet Archive) |
| Author(s) | Stephen John Crothers |
| Keywords | Einstein's Vacuum Field, Point-Mass, Relativistic Cosmology |
| Published | 2005 |
| Journal | Progress In Physics |
| Volume | 3 |
| Pages | 7-18 |
Read the full paper here (archived copy — the original link is no longer available)
Abstract
It is generally alleged that Einstein's 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's theory predicts an infinite, static, empty universe