Abstract Details

Name: Gahan Chattopadhyay
Affiliation: Indian Association for the Cultivation of Science
Conference ID: ASI2026_638
Title: On the Emergence of Einstein Gravity from f(R) Gravity by Cosmological Evolution
Abstract Type: Poster
Abstract Category: Galaxies and Cosmology
Author(s) and Co-Author(s) with Affiliation: Gahan Chattopadhyay(Indian Association for the Cultivation of Science, Kolkata - 700032, India), Soumitra Sengupta(Indian Association for the Cultivation of Science, Kolkata-700032, India)
Abstract: f (R)-Gravity, a simple generalization of Einstein’s General theory of Relativity has been considered in the context of Cosmology as one of the approaches to explain phenomena such as early-time inflation and late-time accelerated expansion of the Universe purely from the Gravity sector. In this work, we have considered a class of f (R)-Gravity theories with f (R) = R + αR^n and it’s dual scalar tensor theory in the Einstein frame. We have shown that in an isotropic and homogeneous background, for both positive and negative integral values of n, the extra scalar degree of freedom of the f (R)-theory (manifested as the scalar field in the Einstein frame action) dynamically freezes out due to cosmological evolution, resulting in the survival of only the Einstein-Hilbert term and a cosmological constant at most. This implies that all gravity models given as R + αR^n inevitably evolve into pure Einstein gravity with a cosmological constant term through cosmological evolution.