标题： 一种动态系统分析的$f(R,T)$引力 显示英文标题

标题： A Dynamical System Analysis of $f(R,T)$ Gravity

摘要： 我们研究了$f(R,T)$引力中运动方程和未来奇点，其中$R$是里奇标量，$T$是应力-能量张量的迹。 对两种状态方程（流体状态方程和广义状态方程形式）的未来奇点进行了研究。 虽然在第一种情况下未发现未来奇点，但在第二种情况下发现可能存在某种奇点。 我们还通过动力系统的方法研究了$f(R,T)$引力，并得到了一些固定点。 最后，研究了诺特定理对$f(R,T)$的影响，并利用对称性和守恒电荷找到了$f(R,T)$函数的一致形式。 显示英文摘要

摘要： We investigate equations of motion and future singularities of $f(R,T)$ gravity where $R$ is the Ricci scalar and $T$ is the trace of stress-energy tensor. Future singularities for two kinds of equation of state (barotropic perfect fluid and generalized form of equation of state) are studied. While no future singularity is found for the first case, some kind of singularity is found to be possible for the second. We also investigate $f(R,T)$ gravity by the method of dynamical systems and obtain some fixed points. Finally, the effect of the Noether symmetry on $f(R,T)$ is studied and the consistent form of $f(R,T)$ function is found using the symmetry and the conserved charge.