| 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. |