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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/239076 |
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| Summary: | 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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| ISSN: | 1687-7357 1687-7365 |