f(R) Dual Theories of Quintessence : Expansion-Collapse Duality
arXiv:2105.10521 [ pdf , other ] gr-qc astro-ph.CO hep-th f ( R ) Dual Theories of Quintessence : Expansion-Collapse Duality Authors: Dipayan Mukherjee , H. K. Jassal , Kinjalk Lochan Abstract : The accelerated expansion of the universe demands presence of an exotic matter, namely the dark energy. Though the cosmological constant fits this role very well, a scalar field minimally coupled to gravity, or quintessence, can also be considered as a viable alternative for the cosmological constant. We study f ( R ) gravity models which can lead to an effective description of dark energy implemented by quintessence fields in Einstein gravity, using the Einstein frame-Jordan frame duality. For a family of viable quintessence models, the reconstruction of the f ( R ) function in the Jordan frame consists of two parts. We first obtain a perturbative solution of f ( R ) in the Jordan fr...