López Maroto, Antonio2023-06-202023-06-2020001] E.W. Kolb and M.S Turner, The Early Universe (Addison-Wesley) (1990) [2] H. Pagels and J. Primack, Phys. Rev. Lett. 48 223 (1982) [3] J. Ellis, A. Linde and D. Nanopoulos, Phys. Lett. 118B, 59 (1982) [4] S. Sarkar, Rep. Prog. Phys. 59, 1493 (1996) [5] J. Ellis, J.E. Kim and D.V. Nanopoulos, Phys. Lett. 145B, 181 (1984) [6] D. Bailin and A. Love, Supersymmetric Gauge Field Theory and String Theory, IOP, Bristol, (1994) [7] L. Kofman, A. D. Linde and A.A. Starobinsky, Phys. Rev. Lett. 73 (1994) 3195; L.Kofman, A.D. Linde and A. A. Starobinsky, Phys. Rev. D 56 (1997) 3258 [8] J.H. Traschen, R.H. Brandenberger, Phys. Rev. D42 (1990), 2491; Y. Shtanov, J. Traschen and R. Brandenberger, Phys. Rev. D51 (1995), 5438 [9] J. Baacke, K. Heitmann and C. Patzold, Phys. Rev. D58 125013 (1998) [10] P.B. Greene and L. Kofman, Phys. Lett. B448, 6 (1999) [11] A.L. Maroto and A. Mazumdar, Phys. Rev. D59, 083510 (1999) [12] A.L. Maroto and A. Mazumdar, hep- h/9904206 [13] A.A. Grib, S.G. Mamayev and V.M. Mostepanenko Vacuum Quantum Effects in Strong Fields, Friedmann Laboratory Publishing, St. Petersburg (1994) [14] G. Velo and D. Zwanziger, Phys. Rev 186 (1969) 1337; C.R. Hagen and L.P.S. Singh, Phys. Rev. D 26 (1982) 393 [15] S. Deser and B. Zumino, Phys. Rev. Lett. 38 (1977) 1433; Phys. Lett. 62B, 335 (1976) [16] M. Kawasaki and T. Moroi, Prog. Theor. hys. 93, 879 (1995); T. Moroi, PhD Thesis (1995), hep-ph/9503210 [17] G.G. Ross and S. Sarkar, Nucl. Phys.B461 (1996) 5970920-563210.1016/S0920-5632(99)00896-8https://hdl.handle.net/20.500.14352/59331International Workshop on Particles in Astrophysics and Cosmology (1999. Valencia). © 2014 Elsevier B.V. I thank A. Mazumdar for useful discussions. This work has been supported by SEUID-Royal Society and CICYT-AEN97-1693 (Spain).We study the production of gravitinos during the preheating era after inflation by means of the non-perturbative Bogolyubov technique. Considering only the helicity ±3/2 states, the problem is reduced to the simpler Dirac fermions case. We calculate the production in a particular supergravity model in an expanding universe and obtain the spectrum and number density. Finally we compare the results with the nucleosynthesis bounds and extract some consequences.engjournal articlehttp://dx.doi.org/10.1016/S0920-5632(99)00896-8http://www.sciencedirect.com/http://arxiv.org/abs/hep-ph/9906388open access53Big-bang nucleosynthesisInflationFermionsSupersymmetrySupergravityUniversePhysicsFísica (Física)22 Física