In this article, we show that a number of well-known time-dependent, spherically symmetric solutions of the Einstein’s field equations sourced by a stiff, perfect fluid with a cosmological constant can be generalised into a solution with arbitrary metric functions. This metric can be applied to construct stiff, perfect fluid metrics with (or without) a cosmological constant. We also explore the possibility that this metric may allow us to generate a singularity-free, spherically symmetric cosmological model.

中文翻译：

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归纳由刚性完美流体产生的某些宇宙学解

在本文中，我们表明，由具有宇宙学常数的硬的，完美的流体派生的爱因斯坦场方程的许多著名的时变球对称解可以被推广为具有任意度量函数的解。该度量可以用于构造具有（或不具有）宇宙常数的刚性，理想的流体度量。我们还探讨了该指标可能允许我们生成无奇点的球对称宇宙学模型的可能性。