RT Journal Article
T1 The Lame equation in parametric resonance after inflation
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 López Maroto, Antonio
A1 Rodríguez González, Miguel Ángel
AB We show that the most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is of the form V(phi)=lambda phi^4/4+Kphi^2/2+mu/(2 phi^2)+V_0. As an application, we study the preheating phase after inflation for the above potential with K=0 and arbitrary lambda,mu >0. For certain values of the coupling constant between the inflaton and the matter fields, we calculate the instability intervals and the characteristic exponents in closed form.
PB American Physical Society
SN 0556-2821
YR 2000
FD 2000-10-17
LK https://hdl.handle.net/20.500.14352/59329
UL https://hdl.handle.net/20.500.14352/59329
LA eng
NO © 2000 The American Physical Society. A.L.M. wishes to thank J. García-Bellido for useful discussions. This work was partially supported by grants DGES PB98-0821 and DGICYT AEN97-1693.
NO DGICYT
NO DGES
DS Docta Complutense
RD 16 abr 2025