Preinflation without matter from f(R)-Extended General Relativity

MAURICIO BELLINI; LUIS SANTIAGO RIDAO

PHYSICS OF THE DARK UNIVERSE

Elsevier Sciences

Lugar: Amsterdam; Año: 2022 vol. 37 p. 101117 - 101117

2212-6864

Starting with a $f(R)= R,,e^{rac{R}{6,M^2}}$-Extended General Relativity with physical sources included, we develop a preinflationary model where the background dynamics is driven by curvaton fluctuations, which are the trace of gravitational waves. We explore two possible solutions with the same equation of state: $P/ho =-1$, for $M^2=pm M^2_p$. We obtain the conditions for which a preinflatonary scenario might have been possible due to the curvaton fluctuations effect on the background dynamics in absence of background matter fields, and we study the dynamics for gravitational waves. The $ln(k)$-spectrum of the scalar curvature on the extended manifold is obtained.