https://doi.org/10.1140/epjc/s10052-020-8147-8
Regular Article - Theoretical Physics
Quintessential inflation from Lorentzian slow roll
1
Physics Department, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel
2
Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Strasse 1, 60438, Frankfurt am Main, Germany
3
Bahamas Advanced Study Institute and Conferences, 4A Ocean Heights, Hill View Circle, Stella Maris, Long Island, Bahamas
* e-mail: benidav@post.bgu.ac.il
Received:
4
April
2020
Accepted:
12
June
2020
Published online:
29
June
2020
From the assumption that the slow-roll parameter 
has a Lorentzian form as a function of the e-fold number N, a successful model of a quintessential inflation is obtained, as succinctly studied in
[1]. The form corresponds to the vacuum energy both in the inflationary and in the dark-energy epochs and satisfies the condition to climb from small values of to 1 at the end of the inflationary epoch. We find the corresponding scalar quintessential inflationary potential with two flat regions. Moreover, a reheating mechanism is suggested with numerical estimation for the homogeneous evolution of the universe. The suggested mechanism is consistent with the BBN bound.
© The Author(s), 2020
