Speaker
Prof.
Pradyumn Kumar Sahoo
(Birla Institute of Technology and Science-Pilani, Hyderabad Campus)
Description
A class of Kaluza-Klein cosmological models in $f(R,T)$ theory of
gravity have been investigated. In the work, we have considered the
functional $f(R,T)$ to be in the form $f(R,T)=f(R)+f(T)$ with
$f(R)=\lambda R$ and $f(T)=\lambda T$. Such a choice of the
functional $f(R,T)$ leads to an evolving effective cosmological
constant $\Lambda$ which depends on the stress energy tensor. The
source of the matter field is taken to be a perfect cosmic fluid.
The exact solutions of the field equations are obtained by
considering a constant deceleration parameter which leads to two
different aspects of the volumetric expansion namely a power law and
an exponential volumetric expansion. Keeping an eye on the
accelerating nature of the universe in the present epoch, the
dynamics and physical behaviour of the models have been discussed.
From statefinder diagnostic pair we have found that the model with
exponential volumetric expansion behaves more like a Lambda cold dark matter ($\Lambda$CDM)
model.
Author
Prof.
Pradyumn Kumar Sahoo
(Birla Institute of Technology and Science-Pilani, Hyderabad Campus)
