TITLE:
Anisotropic Homogeneous Universe in f(R,T) Gravity with Bulk Viscous Fluid
AUTHORS:
Rishi Kumar Tiwari, Aroon Beesham, Murleedhar Pal
KEYWORDS:
f(R, T) Gravity, Bulk Viscous Fluid, Bianchi Type-I Universe, Variable Deceleration Parameter, Accelerating Universe, Modified Gravity, Energy Conditions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.6,
June
29,
2026
ABSTRACT: In this work, we investigate a Bianchi type-I universe within the framework of
f(
R,T
)=
f
1
(
R
)+
f
2
(
T
)
gravity, considering the specific case in the presence of bulk viscous matter. A time-dependent deceleration parameter is adopted to describe the transition from decelerated to accelerated cosmic expansion. Exact solutions of the field equations are derived by taking the relation between the deceleration parameter and the scale factor yields
a(
t
)=
(
e
cnT
?d
c
)
1
n
. Where c, d, and n are model constants and T represents cosmic time. The corresponding energy density and energy conditions (Weak, Dominant, and Strong) are analyzed graphically, indicating consistency with an accelerating universe. The impact of bulk viscosity on the future evolution of the universe is also examined. Furthermore, the cosmic jerk parameter is computed, and its behaviour is found to be qualitatively consistent with observational expectations, thereby consistent with the value predicted of the proposed model.