Bianchi Type-I Universe with Cosmological Constant and Quadratic Equation of State inf(R,T)Modified Gravity

Abstract

This article deals with the study of Bianchi type-I universe in the context of f (R, T ) gravity. Einstein's field equations in f (R, T ) gravity has been solved in presence of cosmological constant Λ and quadratic equation of state (EoS) p = αρ 2 − ρ, where α = 0 is a constant. Here we have discussed two classes of f (R, T ) gravity i.e. f (R, T ) = R + 2f (T ) and f (R, T ) = f1(R) + f2(T ). A set of models has been taken into consideration based on the plausible relation. Also we have studied the some physical and kinematical properties of the models.

Study of Particle Creation with Quadratic Equation of State in Higher Derivative Theory

“…It would be interesting to study the particle creation mechanism with constant q in the present model. Using (36) and its derivatives in (11), we have To obtain the expression of effective pressure by using (3), (14), (17), (36), (37) and (38) in (13), we get…”

“…The particle number N(t) in terms of cosmic time is expressed for this model by using (37) and (38) in (17) as…”

“…Chavanis [32] has proposed the cosmological model to describe the evolution of the universe (early and late inflation) by quadratic EoS, which is also considered in [33][34][35][36] and compared with the observations by Sharov [37]. The cosmological models with different EoS have been investigated by Singh and Bishi [38,39], Adhav et al [40], Harko and Mak [41], and Singh et al [42], to name a few.…”

Anisotropic Cosmological Model in a Modified Theory of Gravitation

“…Ram and Kumari [16] obtained Bianchi types I and V bulk viscous solutions by choosing a nonlinear form of the deceleration parameter. A model with a cosmological constant and quadratic equation of state was investigated by Singh and Bishi [17]. Sahoo and Sivakumar [18] found LRS models with a dynamic cosmological parameter by assuming a linearly varying deceleration parameter.…”

On a quadratic equation of state and a universe mildly bouncing above the Planck temperature

“…Reddy, Adhav & Purandare [9] solve the Friedman equations analytically in Bianchi I universes with equations of state f (ρ) = −ρ + α ρ 2 . Singh & Bishi [10] consider the same setting in some f (R, T ) modified gravity theories.…”