Abstract:
In this thesis, we discuss the cosmic acceleration of expanding universe
through various cosmic parameters in the framework of f(Q) gravity. This
gravity is also termed as modified symmetric teleparallel gravity, where Q
stands for ”non-metricity”. The FRW space-time with perfect fluid are
taken as geometry and matter of the universe. We consider two models
for cosmic scale factor a(t) as power law form and Dabrowski and Marosek
form. In the presence of holographic dark energy density, we study the dif-
ferent parameterizations of its model parameter c(z) where z represents the
redshift function. These parameterizations help to study the cosmic expan-
sion through the cosmological parameters. We plot the equation of state
parameter for each model in order to illustrate the cosmic analysis associ-
ated with this theory. We examine the squared speed of sound parameter
for these models to assess their stability. With regard to the particular
values of the model parameters, we achieve some positive outcomes. In
addition, we look into how energy conditions can be used to distinguish
between the various models and to analyze how matter and energy behave
in f(Q) gravity models. For example, by employing energy conditions to
test this, one can produce the observed accelerated expansion of the cosmos
which is thought to be driven by dark energy.
