Abstract

We consider a 4-dimensional FRW Universe in the framework of fractal cosmology, where the space-time is assumed to be fractal, and the dimensionality of space changes with time. So, in fractal cosmology, the Universe and its matter components act in a fractal way over a full range of scales. Firstly, the modified Chaplygin gas and then the generalized cosmic Chaplygin gas are taken as the cosmic substratum. In these scenarios, the matter-antimatter asymmetry is investigated by two gravitational mechanisms: baryogenesis and leptogenesis. For gravitational baryogenesis, we find the ratio of baryon number density to entropy in both gases graphically. Also, for gravitational leptogenesis, we find the ratio of lepton number density to entropy in both gases graphically.

中文翻译：

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四维分形宇宙中的引力重子生成和轻子生成

摘要

我们在分形宇宙学的框架中考虑一个 4 维 FRW 宇宙，其中时空被假定为分形，空间的维数随时间而变化。因此，在分形宇宙学中，宇宙及其物质成分在整个尺度范围内都以分形方式运作。首先以改良的Chaplygin气体和广义的宇宙Chaplygin气体为宇宙基质。在这些情况下，物质 - 反物质不对称性通过两种引力机制进行研究：重子生成和轻质生成。对于引力重子发生，我们以图形方式找到了两种气体中的重子数密度与熵的比率。此外，对于引力轻子发生，我们以图形方式找到了两种气体中轻子数密度与熵的比率。