Abstract
In this work we investigate loop variables in Friedman-Robertson-Walker spacetime. We analyze the parallel transport of vectors and spinors along several paths in this spacetime in order to classify its global properties. Band holonomy invariance is analysed in this background.
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Wilson K. (1964). Phys. Rev. D 10: 2445
Mandelstam S. (1962). Ann. Phys. 19: 25
Mandelstam S. (1968). Phys. Rev. 175: 1604
Yang C.N. (1974). Phys. Rev. Lett. 33: 445
Voronov N.A. and Makeenko Y.M. (1982). Sov. J. Nucl. Phys. 36: 444
Bollini, C.G., Giambiagi, J.J., Tiomno, J.: Lett. Al Nuovo Cimento 31(1), (1981)
Rothman T., Ellis G. and Murugan J. (2001). Class. Quant. Grav. 18: 1217
Bini D., Cherubini C. and Jantzen R.T. (2002). Class. Quantum Grav. 19: 5481
de M. Carvalho A.M., Moraes F. and Furtado C. (2003). Class. Quantum Grav. 20: 2063
Bini D., Jantzen R. and Mashhoon B. (2002). Class. Quant. Grav. 19: 17
Burges C.J.C. (1985). Phys. Rev. D 32: 02
Bezerra V.B. (1987). Phys. Rev. D 35: 06
Assis J.G., Furtado C., Bezerra V. and Moraes F. (2000). Gravit. Cosmol. 6: 233
Assis J.G., Furtado C. and Bezerra V.B. (2000). Phys. Rev. D 62: 45003
Pachos J. and Zanardi P. (2001). Int. J. Mod. Phys. B 15: 1257
de M. Carvalho A.M., Moraes F. and Furtado C. (2004). Mod. Phys. Lett. A 19: 2683
de M. Carvalho A.M., Moraes F. and Furtado C. (2004). JHEP 0406: 029
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Carvalho, A.M.d.M., Furtado, C. Holonomy transformation in the FRW metric. Gen Relativ Gravit 39, 1311–1322 (2007). https://doi.org/10.1007/s10714-007-0443-1
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DOI: https://doi.org/10.1007/s10714-007-0443-1