We extend our previous analysis of a model for “dark energy” based on a Weyl scaling invariant dark energy action. We reexpress all prior results in terms of proper time, using the fluctuation amplitude Φ without approximation, and derive a compact formula for the squared effective Hubble parameter. This formula involves effective dark energy and matter densities that differ from their expressions in the standard ΛCDM cosmology. We also give new analytic results for the function Φ and discuss their implications.

中文翻译：

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外尔标度不变暗能量作用的哈勃参数和相关公式

我们扩展了我们之前对基于 Weyl 标度不变暗能量作用的“暗能量”模型的分析。我们使用波动幅度以适当的时间重新表达所有先前的结果Φ没有近似，并推导出平方有效哈勃参数的紧凑公式。该公式涉及有效暗能量和物质密度，不同于它们在标准中的表达Λ清洁发展机制宇宙学。我们还为函数提供了新的分析结果Φ并讨论它们的影响。