The continuously decreasing curvature of spacetime has been proposed to be due to the phenomenon like Hawking radiation, the collapse of black holes and neutron stars. It has been found that during these phenomena, energy of source (black hole and neutron stars) decreases. In this paper, we explore this loss in energy of the source by introducing a time conformal factor in the corresponding spacetime in order to get a nonstatic metric without violating its symmetry structure. This technique gives us information about the loss of momentum and energy of the source. We also consider some novel nonstatic classes of the plane-symmetric spacetime containing 10 Noether symmetries and 7 isometries.

中文翻译：

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对应于携带 10 个 Noether 对称性的时空的守恒量的解释

时空曲率不断减小被认为是由于霍金辐射、黑洞坍缩和中子星等现象。已经发现，在这些现象中，源（黑洞和中子星）的能量会降低。在本文中，我们通过在相应时空中引入时间共形因子来探索源能量的这种损失，以便在不违反其对称结构的情况下获得非静态度量。这种技术为我们提供了有关源动量和能量损失的信息。我们还考虑了一些新的平面对称时空非静态类，其中包含 10 个诺特对称和 7 个等距。