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FLRW COSMOLOGY FROM YANG–MILLS GRAVITY WITH TRANSLATIONAL GAUGE SYMMETRY

DANIEL KATZ

Department of Physics, University of Massachusetts Lowell, Lowell, MA 01852, USA

https://doi.org/10.1142/S0217751X13500188Cited by:1 (Source: Crossref)

Abstract

We extend to basic cosmology the subject of Yang–Mills gravity — a theory of gravity based on local translational gauge invariance in flat space–time. It has been shown that this particular gauge invariance leads to tensor factors in the macroscopic limit of the equations of motion of particles which plays the same role as the metric tensor of general relativity (GR). The assumption that this "effective metric" tensor takes on the standard FLRW form is our starting point. Equations analogous to the Friedmann equations are derived and then solved in closed form for the three special cases of a universe dominated by (1) matter, (2) radiation and (3) dark energy. We find that the solutions for the scale factor are similar to, but distinct from, those found in the corresponding GR based treatment.

Keywords:

PACS: 11.15.-q, 98.80.-k, 04.60.Bc

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References

J.-P. Hsu, Int. J. Mod. Phys. A 21, 5119 (2006), DOI: 10.1142/S0217751X06034082. Link, Web of Science, ADS, Google Scholar
J.-P. Hsu, The s-matrix and ghost fields in quantum Yang–Mills gravity , arXiv:1005.3272 . Google Scholar
J.-P. Hsu, Int. J. Mod. Phys. A 24, 5217 (2009), DOI: 10.1142/S0217751X0904765X. Link, Web of Science, ADS, Google Scholar
J.-P. Hsu, Eur. Phys. J. Plus 126, 24 (2011), DOI: 10.1140/epjp/i2011-11024-x. Crossref, Web of Science, Google Scholar
C. Rovelli , Quantum Gravity ( Cambridge University Press , Cambridge, UK , 2004 ) . Crossref, Google Scholar
A. Strominger, Nucl. Phys. B 192, 119 (2009). Google Scholar
A. Zee , Quantum Field Theory in a Nutshell ( Princeton University Press , New Jersey , 2003 ) . Google Scholar
E. M. Lifshitz and L. D. Landau , The Classical Theory of Fields , 2nd edn. 2 ( Pergamon Press , Reading, MA , 1965 ) . Google Scholar
B. F. Schutz , A First Course in General Relativity ( Cambridge University Press , Cambridge, UK , 2000 ) . Google Scholar
M. W. Augeret al., Astrophys. J. 711, 201 (2010). Web of Science, Google Scholar
A. G. Riesset al., Astron. J. 116, 1009 (1998), DOI: 10.1086/300499. Crossref, Web of Science, Google Scholar