We consider the definition of complexity for dynamical spherically self-gravitating matter distribution in the presence of heat dissipation introduced by Herrera [L. Herrera, A. Di Prisco and J. Ospino, Phys. Rev. D 98 (2018) 104059] and generalize it in [Formula: see text] gravity, where [Formula: see text] and [Formula: see text] are the Ricci scalar and the trace of energy–momentum tensor, respectively. We measure the complexity of structure as well as pattern of evolution of the fluid distribution and examine these under the effects of dark source terms of modified gravity. Some dynamical and kinematical equations are observed in the dissipative and nondissipative cases in the background of modified theory. Finally, we discuss evolution of the structure scalars and stability of a condition where the complexity factor vanishes.

中文翻译：

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动态自引力结构的复杂性测量

我们考虑了 Herrera [L. Herrera, A. Di Prisco 和 J. Ospino, Phys。Rev. D 98 (2018) 104059] 并将其推广到 [公式：见文本] 重力，其中 [公式：见文本] 和 [公式：见文本] 分别是里奇标量和能量-动量张量的迹。我们测量结构的复杂性以及流体分布的演变模式，并在修正重力的暗源项的影响下检查这些。在修正理论的背景下，在耗散和非耗散情况下观察到一些动力学和运动方程。最后，我们讨论了结构标量的演变和复杂性因素消失的条件的稳定性。