The exact non-static accelerating solutions of Einstein field equations in perfect fluid distribution with nonzero shear in the texture gas dominated universe corresponding to an indefinite non-degenerate metric in cartesian coordinates are obtained in a gravitational field of Petrov type D. Lie symmetry method is used for reduction and finding trigonometric solutions. By following multiplier approach, the conservation laws are obtained. The graphical representations are also shown.

中文翻译：

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用李对称法在完美流体分布中的爱因斯坦场方程的精确解

在彼得罗夫D型引力场中获得了在笛卡尔坐标系中与一个不确定的非退化度量相对应的，以纹理气体为主的宇宙中具有非零剪切的理想流体在完美流体分布中具有非零剪切力的爱因斯坦场方程的精确非静态加速解。李对称方法是用于还原和查找三角解。通过遵循乘数法，可以获得守恒定律。还显示了图形表示。