A power-law inflation tail for the standard R2-inflation and the Trans-Planckian censorship conjecture
Odintsov S.D. Oikonomou V.K.
June 2025Elsevier B.V.
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
2025#865
The conceptual problems of the standard slow-roll inflationary scenario include the Trans-Planckian Censorship Conjecture issue, which severely restricts the tensor-to-scalar ratio in the standard minimally coupled scalar field inflation. Motivated by the fact that a scalar field in its vacuum configuration can be minimally coupled to gravity, or conformally coupled, and also that the first quantum corrections of the scalar field action include R2 corrections, in this work we assume that R2 gravity in the presence of a scalar field with constant equation of state parameter co-exist and control the early Universe. Constant equation of state parameter scalar field result from exponential scalar potentials. In our approach, the standard slow-roll era is controlled by the R2 gravity and is followed by a power-law inflationary tail governed by a minimally coupled scalar field with an quintessential equation of state parameter, stemming from an exponential scalar potential. The fact that the total equation of state parameter after the end of the slow-roll era is equal to the value determined by the scalar field, has an effect on the duration of the R2 governed slow-roll era, and it actually shortens the duration of the slow-roll era, by an extent which depends on the reheating temperature too, after all the inflationary patches have ended. The power-law inflationary tail to the standard R2 inflation, solves the Trans-Planckian Censorship Conjecture issues, and also the Swampland conjecture can be amended in this context. We also perform a dynamical system study to confirm numerically our findings.
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Institute of Space Sciences (ICE, CSIC), C. Can Magrans s/n, Barcelona, 08193, Spain
ICREA, Passeig Luis Companys, 23, Barcelona, 08010, Spain
Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece
Laboratory for Theoretical Cosmology, International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, 634050, Russian Federation
L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Institute of Space Sciences (ICE
ICREA
Department of Physics
Laboratory for Theoretical Cosmology
L.N. Gumilyov Eurasian National University
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