Solution of Einstein's Field Equations Using Harrison's Method: Difference between revisions
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| published = 2007 | | published = 2007 | ||
| journal = [[Galilean Electrodynamics]] | | journal = [[Galilean Electrodynamics]] | ||
| volume = | | volume = 18 | ||
| number = | | number = S3 | ||
| pages = 49-53 | | pages = 49-53 | ||
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==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 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|solution einstein s field equations using harrison s method]] | [[Category:Relativity|solution einstein s field equations using harrison s method]] | ||
Latest revision as of 13:59, 22 July 2026
| Scientific Paper | |
|---|---|
| Title | Solution of Einstein's Field Equations Using Harrison's Method |
| Author(s) | Ioannis Iraklis Haranas |
| Keywords | Einstein, gravitational field, General Relativity |
| Published | 2007 |
| Journal | Galilean Electrodynamics |
| Volume | 18 |
| Number | S3 |
| Pages | 49-53 |
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.