A minimal and stable vacuum bounce in exponential f(R) gravity

Abstract We investigate the realization of a nonsingular cosmological bounce in metric f ( R ) gravity using a controlled exponential deformation of the Starobinsky $$R^{2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>R</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> model. Adopting a smooth Gaussian-type bouncing scale factor, we first demonstrate a no-go result showing that a positive-curvature vacuum bounce cannot be supported by the model $$f(R)=R+\alpha