标题： $f(R,T)$和未来的奇点 显示英文标题

标题： $f(R,T)$ and future singularities

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。 研究了两种状态方程（流体状态方程和广义状态方程形式）的未来奇点。 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。 使用固定点方法和某些假设，可以消除大量奇点。 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. Using the method of fixed points and certain assumptions, a large number of singularities can be removed. 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.