Abstract
In this work we study slow-roll inflation for a vector-tensor model with massive vector fields non-minimally coupled to gravity. The model under consideration has arbitrary parameters for each geometrical coupling. Taking into account a spatially flat FRW type universe and a general vector fields (with temporal and spatial components), we get the general expressions for equation of motion and the total energy momentum tensor. In this scenario, the isotropy of expansion is guaranteed considering a triplet of orthogonal vector fields, but the effective mass of the vector field is of the order of the Hubble scale and the inflationary regime is difficult to realize with this model. However, for suitable values (or constraints) of model parameters, it is possible to overcome this issue. In this sense, two cases were analyzed. In the first case, a regime with slow-roll inflation was obtained, and for the second case the vector field behaves as a constant, and it drives a quasi de Sitter expansion, hence that slow-roll takes place and inflation occurs.
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References
Albrecht, A., Steinhardt, P.J.: Phys. Rev. Lett. 48, 1220 (1982)
Böhmer, C.G., Harko, T.: Eur. Phys. J. C 50, 423 (2007). arXiv:gr-qc/0701029
Burd, A.B., Lidsey, J.E.: Nucl. Phys. B 351, 679 (1991)
Chiba, T.: J. Cosmol. Astropart. Phys. 0808, 004 (2008). arXiv:0805.4660 [gr-qc]
Darabi, F., Parsiya, A.: Int. J. Mod. Phys. D 23(08), 1450069 (2014). arXiv:1401.1280 [gr-qc]
Ford, L.H.: Phys. Rev. D 40, 967 (1989)
Germani, C., Kehagias, A.: J. Cosmol. Astropart. Phys. 0903, 028 (2009). arXiv:0902.3667 [astro-ph.CO]
Golovnev, A., Mukhanov, V., Vanchurin, V.: J. Cosmol. Astropart. Phys. 0806, 009 (2008). arXiv:0802.2068 [astro-ph]
Granda, L.N., Jimenez, D.F.: Phys. Rev. D 90(12), 123512 (2014). arXiv:1411.4203 [gr-qc]
Guo, Z-K., Schwarz, D.J.: Phys. Rev. D 81, 123520 (2010). arXiv:1001.1897 [hep-th]
Guth, A.: Phys. Rev. D 23, 347 (1981)
Guth, A.H., Pi, S.Y.: Phys. Rev. Lett. 49, 1110 (1982)
Hawking, S.W.: Phys. Lett. B 115, 295 (1982)
Himmetoglu, B., Contaldi, C.R., Peloso, M.: Phys. Rev. Lett. 102, 111301 (2009). arXiv:0809.2779 [astro-ph]
Jiang, P.-X., Hu, J.-W., Guo, Z.-K.: Phys. Rev. D 88, 123508 (2013). arXiv:1310.5579 [hep-th]
Jimenez, J.B., Maroto, A.L.: Phys. Rev. D 78, 063005 (2008). arXiv:0801.1486 [astro-ph]
Jimenez, J.B., Lazkoz, R., Maroto, A.L.: Phys. Rev. D 80, 023004 (2009). arXiv:0904.0433 [astro-ph.CO]
Kanti, P., Gannouji, R., Dadhich, N.: Phys. Rev. D 92(4), 041302 (2015). arXiv:1503.01579 [hep-th]
Kiselev, V.V.: Class. Quantum Gravity 21, 3323 (2004). gr-qc/0402095
Koh, S.: Int. J. Mod. Phys. Conf. Ser. 01, 120 (2011). arXiv:0902.3904 [hep-th]
Koh, S., Korean, H.B.J.: Phys. Soc. 60, 1983 (2012). arXiv:0901.0429 [hep-th]
Koh, S., Lee, B-H., Lee, W., Tumurtushaa, G.: Phys. Rev. D 90(6), 063527 (2014). arXiv:1404.6096 [gr-qc]
Koivisto, T.S., Mota, D.F.: J. Cosmol. Astropart. Phys. 0808, 021 (2008). arXiv:0805.4229 [astro-ph]
Liddle, A.R., Lyth, D.H.: Cosmological Inflation and Large-Scale Structure. Cambridge University Press, Cambridge (2000)
Lidsey, J.E., Liddle, A.R., Kolb, E.W., Copeland, E.J., Barreiro, T., Abney, M.: Rev. Mod. Phys. 69, 373 (1997). astro-ph/9508078
Linde, A.D.: Phys. Lett. B 108, 389 (1982)
Linde, A.: Particle Physics and Inflationary Cosmology. Harwood Academic, Chur (1990)
Lyth, D.H., Riotto, A.: Phys. Rep. 314, 1 (1999). hep-ph/9807278
Maleknejad, A., Sheikh-Jabbari, M.M., Soda, J.: Phys. Rep. 528, 161 (2013). arXiv:1212.2921 [hep-th]
Mukhanov, V.F., Chibisov, G.V.: JETP Lett. 33, 532 (1981)
Neupane, I.P., Carter, B.M.N.: J. Cosmol. Astropart. Phys. 0606, 004 (2006). hep-th/0512262
Nojiri, S., Odintsov, S.D., Sasaki, M.: Phys. Rev. D 71, 123509 (2005). hep-th/0504052
Oliveros, A., Solis, E.L., Acero, M.A.: Mod. Phys. Lett. A 31(01), 1650009 (2015). arXiv:1510.04673
Setare, M.R., Kamali, V.: Phys. Lett. B 726, 56 (2013). arXiv:1309.2452 [gr-qc]
van de Bruck, C., Dimopoulos, K., Longden, C.: Phys. Rev. D 94(2), 023506 (2016). arXiv:1605.06350 [astro-ph.CO]
Wei, H., Cai, R-G.: Phys. Rev. D 73, 083002 (2006). astro-ph/0603052
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Oliveros, A. Slow-roll inflation from massive vector fields non-minimally coupled to gravity. Astrophys Space Sci 362, 19 (2017). https://doi.org/10.1007/s10509-016-2998-3
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DOI: https://doi.org/10.1007/s10509-016-2998-3