J. Martin et Dj. Schwarz, INFLUENCE OF COSMOLOGICAL TRANSITIONS ON THE EVOLUTION OF DENSITY PERTURBATIONS, Physical review. D. Particles and fields, 57(6), 1998, pp. 3302-3316
We study the influence of the reheating and equality transitions on su
perhorizon density perturbations and gravitational waves. Recent criti
cisms of the ''standard result'' for large-scale perturbations in infl
ationary cosmology are rectified. The claim that the ''conservation la
w'' for the amplitude of superhorizon modes was empty is shown to be w
rong. For sharp transitions, i.e. the pressure jumps, we rederive the
Deruelle-Mukhanov junction conditions. For a smooth transition we come
t a result obtained by Grishchuk recently. We show that the junction c
onditions are not crucial, because the pressure is continuous during t
he reheating transition. The problem occurred because the perturbed me
tric was not evolved correctly through the smooth reheating transition
. Finally, we derive the ''standard result'' within Grishchuk's smooth
(reheating) transition.