论文标题
部分可观测时空混沌系统的无模型预测
Energy Conditions in Non-minimally Coupled $f(R,T)$ Gravity
论文作者
论文摘要
在当今的情况下,超越爱因斯坦的重力理论,使我们获得了一些更完整和修改的重力理论。其中之一是$ f(r,t)$重力,其中$ r $是ricci标量,而$ t $是能量巨头张量的痕迹。我们使用具有单个参数的良好动机线性$ F(R,T)$重力模型,我们研究了强能量条件(SEC),弱能量条件(WEC),无效能量条件(NEC)和最简单的非微小物质几何形状几何形状构图,并具有完美的流液分布。模型参数受到能量条件和单个参数的状态方程(EOS)的约束,从而导致$ f(r,t)$模型与宇宙加速扩展的兼容性。可以看出,EOS参数在主导的加速相中说明了典型阶段,这将宇宙常数的产量指出为幻影时代的预测。同样,使用宇宙常数和宇宙加速度的当前值用于检查我们的线性$ f(r,t)重力模型的可行性。据观察,DEC和WEC的积极行为表明了模型的验证。相比之下,SEC违反了导致宇宙加速扩张的状况。
In today's scenario, going beyond Einstein's theory of gravity leads us to some more complete and modified gravity theories. One of them is the $f(R,T)$ gravity in which $ R $ is the Ricci scalar, and $ T $ is the trace of the energy-momentum tensor. Using a well-motivated linear $f(R,T)$ gravity model with a single parameter, we studied the strong energy condition (SEC), the weak energy condition (WEC), the null energy condition (NEC), and the dominant energy condition (DEC) under the simplest non-minimal matter geometry coupling with a perfect fluid distribution. The model parameter is constrained by energy conditions and a single parameter proposed equation of state (EoS), resulting in the compatibility of the $f(R,T)$ models with the accelerated expansion of the universe. It is seen that the EoS parameter illustrate the quintessence phase in a dominated accelerated phase, pinpoint to the cosmological constant yields as a prediction the phantom era. Also, the present values of the cosmological constant and the acceleration of the universe are used to check the viability of our linear $f(R,T)$ model of gravity. It is observed that the positive behavior of DEC and WEC indicates the validation of the model. In contrast, SEC is violating the condition resulting in the accelerated expansion of the universe.