Introduction to the mathematics of general relativity: Difference between revisions

Revision as of 06:04, 13 September 2019

Revision as of 19:04, 22 September 2019

Line 141:

{{main|Einstein field equations}}

The '''Einstein field equations''' ('''EFE''') or '''Einstein's equations''' are a set of 10 [[equation]]s in [[Albert Einstein|Albert Einstein's]] [[general relativity|general theory of relativity]] which describe the [[fundamental interaction]] of [[gravitation]] as a result of [[spacetime]] being [[curvature|curved]] by [[matter]] and [[energy]].<ref name=ein>{{cite journal|last=Einstein |first=Albert |title=The Foundation of the General Theory of Relativity |journal=[[Annalen der Physik]] |volume=354 |issue=7 |pages=769 |year=1916 |publisher= |url=http://www.alberteinstein.info/gallery/gtext3.html |doi=10.1002/andp.19163540702 |format=[[PDF]] |id= |accessdate= |bibcode=1916AnP...354..769E |deadurlurl-status=yesdead |archiveurl=https://web.archive.org/web/20060829045130/http://www.alberteinstein.info/gallery/gtext3.html |archivedate=2006-08-29 |df= }}</ref> First published by Einstein in 1915<ref name=Ein1915>{{cite journal|last=Einstein| first=Albert| authorlink = Albert Einstein| date=November 25, 1915| title=Die Feldgleichungen der Gravitation| journal=Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin| pages=844–847 | url=http://nausikaa2.mpiwg-berlin.mpg.de/cgi-bin/toc/toc.x.cgi?dir=6E3MAXK4&step=thumb | accessdate=2006-09-12}}</ref> as a [[tensor equation]], the EFE equate local spacetime [[curvature]] (expressed by the [[Einstein tensor]]) with the local energy and [[momentum]] within that spacetime (expressed by the [[stress–energy tensor]]).<ref>{{Cite book

| last1=Misner |first1=Charles W. |authorlink1=Charles W. Misner

| last2=Thorne |first2=Kip S. |authorlink2=Kip Thorne