This paper investigates static wormhole solutions through Noether symmetry approach in the context of energy–momentum squared gravity. This newly developed proposal resolves the singularity of big bang and yields feasible cosmological results in the early times. We consider the particular model of this theory to establish symmetry generators and corresponding conserved quantities. For constant and variable red-shift functions, we examine the presence of viable traversable wormhole solutions for both dust and non-dust matter distributions and analyze the stable state of these solutions. We investigate the graphical interpretation of null and weak energy bounds for normal and effective energy–momentum tensors to examine the presence of physically viable wormhole geometry. It is found that realistic traversable and stable wormhole solutions are obtained for a particular model of this gravity.

本文在能量动量平方重力的背景下，通过Noether对称方法研究了静态虫洞解决方案。这项新近提出的建议解决了大爆炸的奇异之处，并在早期产生了可行的宇宙学结果。我们考虑该理论的特定模型来建立对称生成器和相应的守恒量。对于恒定和可变的红移函数，我们检查了可行的可传播的虫洞解决方案是否存在于粉尘和非粉尘物质分布中，并分析了这些解决方案的稳定状态。我们研究了正常和有效能量动量张量的零能和弱能界的图形解释，以检查物理上可行的虫洞几何形状的存在。