Torsion Wave Solutions in Yang-Mielke Theory of Gravity

The approach of metric-affine gravity initially distinguishes it from Einstein’s general relativity. Using an independent affine connection produces a theory with 10 + 64 unknowns. We write down the Yang-Mills action for the affine connection and produce the Yang-Mills equation and the so-called com...

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Main Authors: Vedad Pasic, Elvis Barakovic
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2015/239076
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author Vedad Pasic
Elvis Barakovic
author_facet Vedad Pasic
Elvis Barakovic
author_sort Vedad Pasic
collection DOAJ
description The approach of metric-affine gravity initially distinguishes it from Einstein’s general relativity. Using an independent affine connection produces a theory with 10 + 64 unknowns. We write down the Yang-Mills action for the affine connection and produce the Yang-Mills equation and the so-called complementary Yang-Mills equation by independently varying with respect to the connection and the metric, respectively. We call this theory the Yang-Mielke theory of gravity. We construct explicit spacetimes with pp-metric and purely axial torsion and show that they represent a solution of Yang-Mills theory. Finally we compare these spacetimes to existing solutions of metric-affine gravity and present future research possibilities.
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institution Kabale University
issn 1687-7357
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series Advances in High Energy Physics
spelling doaj-art-5496c8f961754df7b79341a2d6a609752025-02-03T06:06:35ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/239076239076Torsion Wave Solutions in Yang-Mielke Theory of GravityVedad Pasic0Elvis Barakovic1Department of Mathematics, University of Tuzla, Univerzitetska 4, 75000 Tuzla, Bosnia and HerzegovinaDepartment of Mathematics, University of Tuzla, Univerzitetska 4, 75000 Tuzla, Bosnia and HerzegovinaThe approach of metric-affine gravity initially distinguishes it from Einstein’s general relativity. Using an independent affine connection produces a theory with 10 + 64 unknowns. We write down the Yang-Mills action for the affine connection and produce the Yang-Mills equation and the so-called complementary Yang-Mills equation by independently varying with respect to the connection and the metric, respectively. We call this theory the Yang-Mielke theory of gravity. We construct explicit spacetimes with pp-metric and purely axial torsion and show that they represent a solution of Yang-Mills theory. Finally we compare these spacetimes to existing solutions of metric-affine gravity and present future research possibilities.http://dx.doi.org/10.1155/2015/239076
spellingShingle Vedad Pasic
Elvis Barakovic
Torsion Wave Solutions in Yang-Mielke Theory of Gravity
Advances in High Energy Physics
title Torsion Wave Solutions in Yang-Mielke Theory of Gravity
title_full Torsion Wave Solutions in Yang-Mielke Theory of Gravity
title_fullStr Torsion Wave Solutions in Yang-Mielke Theory of Gravity
title_full_unstemmed Torsion Wave Solutions in Yang-Mielke Theory of Gravity
title_short Torsion Wave Solutions in Yang-Mielke Theory of Gravity
title_sort torsion wave solutions in yang mielke theory of gravity
url http://dx.doi.org/10.1155/2015/239076
work_keys_str_mv AT vedadpasic torsionwavesolutionsinyangmielketheoryofgravity
AT elvisbarakovic torsionwavesolutionsinyangmielketheoryofgravity