Revisiting Einstein-Gauss-Bonnet theories after GW170817


Oikonomou V.K.
September 2024Elsevier B.V.

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
2024#856

In this work we study the inflationary framework of Einstein-Gauss-Bonnet theories which produce a primordial gravitational wave speed that respects the constraint imposed by the GW170817 event, namely |cT 2−1|<6×10−15 in natural units. For these theories in general, the scalar Gauss-Bonnet coupling function ξ(ϕ) is arbitrary and unrelated to the scalar potential. We develop the inflationary formalism of this theory, and present analytic forms for the slow-roll indices, the observational indices and the e-foldings number, assuming solely a slow-roll era and also that the constraints imposed by the GW170817 event hold true. We present in detail an interesting class of models that produces a viable inflationary era. Finally, we investigate the behavior of the Einstein-Gauss-Bonnet coupling function during the reheating era, in which case the evolution of the Hubble rate satisfies a constant-roll-like relation H˙=δH2. As we show, the behavior of the scalar Gauss-Bonnet coupling during the reheating is different from that of the inflationary era. This is due to the fact that the evolution governing the reheating is different compared to the inflationary era.



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Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece
L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Laboratory for Theoretical Cosmology, International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, 634050, Russian Federation

Department of Physics
L.N. Gumilyov Eurasian National University
Laboratory for Theoretical Cosmology

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