In this paper, we discuss the behavior of coordinate-time dependent lapse function of FLRW metric of an accelerated expanding universe in the de Rham–Gabadadze–Tolley massive gravity theory. Physically, this function is considered to connect a general observer coordinate-time to the related proper-time and also to another normal observer under specific condition. We find that in the standard dRGT formalism, the corresponding lapse function can exhibit unphysical behavior in the parameter space region with a negative cosmological-constant-like term. To solve this problem, we reconsider the cosmological constant energy density which induces negative pressure. It turns out that this setup could overcome the existence of singular and negative square lapse function in the related parameter space and restore all the parameter space to admit only the accelerated expanding universe model.

中文翻译：

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dRGT大质量引力理论中FLRW加速膨胀宇宙的坐标时移函数

在本文中，我们讨论了 de Rham-Gabadadze-Tolley 大质量引力理论中加速膨胀宇宙的 FLRW 度量的坐标时间相关失效函数的行为。在物理上，这个函数被认为将一个普通的观察者坐标时间连接到相关的固有时间，也连接到另一个在特定条件下的正常观察者。我们发现，在标准的 dRGT 形式中，相应的失效函数可以在参数空间区域中表现出非物理行为，具有负的类宇宙常数项。为了解决这个问题，我们重新考虑了引起负压的宇宙学常数能量密度。