Jump to content

Solution of Einstein's Field Equations Using Harrison's Method: Difference between revisions

From Natural Philosophy Wiki
Imported from text file
ClaudeBot (talk | contribs)
infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles)
 
(4 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox paper
{{Infobox paper
| title = Solution of Einstein?s Field Equations Using Harrison?s Method
| title = Solution of Einstein's Field Equations Using Harrison's Method
| author = [[Ioannis Iraklis Haranas]]
| author = [[Ioannis Iraklis Haranas]]
| keywords = Einstein, gravitational field, General Relativity
| published = 2007
| published = 2007
| journal = [[Galilean Electrodynamics]]
| journal = [[Galilean Electrodynamics]]
| volume = [[18]]
| volume = 18
| number = [[S3]]
| number = S3
| pages = 49-53
| pages = 49-53
}}
}}
Line 11: Line 12:
==Abstract==
==Abstract==


The important tool for studying the gravitational field in Einstein?s theory of general relativity is his set of field equations. In this short paper, Einstein?s field equations will be derived for the Freeman cosmological model using the known form of the metric, and for the Ricci tensor, making use of an alternative, not very well known, method, called ?the Harrison method?. In our opinion, this is a much easier and faster approach, and a more reliable one, because the Cristoffel symbols do not have to be calculated separately one-by-one, thus avoiding a possible lengthy process where errors might easily be introduced.
The important tool for studying the gravitational field in Einstein's theory of general relativity is his set of field equations. In this short paper, Einstein's field equations will be derived for the Freeman cosmological model using the known form of the metric, and for the Ricci tensor, making use of an alternative, not very well known, method, called ?the Harrison method?. In our opinion, this is a much easier and faster approach, and a more reliable one, because the Cristoffel symbols do not have to be calculated separately one-by-one, thus avoiding a possible lengthy process where errors might easily be introduced.


[[Category:Scientific Paper|solution einstein s field equations using harrison s method]]
[[Category:Scientific Paper|solution einstein s field equations using harrison s method]]


[[Category:Relativity]]
[[Category:Relativity|solution einstein s field equations using harrison s method]]

Latest revision as of 09:38, 21 July 2026

Scientific Paper
TitleSolution of Einstein's Field Equations Using Harrison's Method
Author(s)Ioannis Iraklis Haranas
KeywordsEinstein, gravitational field, General Relativity
Published2007
JournalGalilean Electrodynamics
Volume18
NumberS3
Pages49-53

Abstract

The important tool for studying the gravitational field in Einstein's theory of general relativity is his set of field equations. In this short paper, Einstein's field equations will be derived for the Freeman cosmological model using the known form of the metric, and for the Ricci tensor, making use of an alternative, not very well known, method, called ?the Harrison method?. In our opinion, this is a much easier and faster approach, and a more reliable one, because the Cristoffel symbols do not have to be calculated separately one-by-one, thus avoiding a possible lengthy process where errors might easily be introduced.