论文标题
$ f(t,b)$引力理论加速宇宙学模型
Accelerating Cosmological Models in $f(T, B)$ Gravitational Theory
论文作者
论文摘要
在本文中,我们探索了F(t,b)重力的场方程,作为在各向同性和均匀时空中触发性重力的扩展。在开发的基本形式主义中,动态参数是通过结合功率定律和指数级数因子函数来得出的。这些模型在晚期显示出加速行为和方法。进行几何参数和标量场重建,以评估较晚加速宇宙的生存能力。此外,提出了两个模型的稳定性。已经观察到两个模型都是依赖参数的。由于大多数几何修饰的重力理论都有利于违反强能量条件的侵犯,因此我们为幂律和指数模型提供了能量条件。在这两种模型中,都建立了违反强大能源条件的行为。
In this paper, we have explored the field equations of f(T, B) gravity as an extension of teleparallel gravity in an isotropic and homogeneous space time. In the basic formalism developed, the dynamical parameters are derived by incorporating the power law and exponential scale factor function. The models are showing accelerating behaviour and approaches to $Λ$CDM at late time.The present value of the equation of state parameter for both the cases are obtained to be in accordance with the range provided by cosmological observations. The geometrical parameters and the scalar field reconstruction are performed to assess the viability of a late time accelerating Universe. Further the stability of both the models are presented. It has been observed that both the models are parameters dependent. Since most of the geometrically modified theories of gravity are favouring the violation of strong energy condition, we have derived the energy conditions both for the power law and exponential model. In both the models, the violation of strong energy condition established.