Friedmann Cosmology in Elliptic Functions

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2021-12-14 DOI:10.1134/S0202289321040113

A. E. Pavlov

引用次数: 0

Abstract

We present exact solutions to the Friedmann equation in standard \(\Lambda\)CDM cosmology in Weierstrass and Jacobi functions. The right-hand side of the Friedmann equation, describing various contributions of matter sources, is considered in a generic form. It is proved that the problem of integration of the Friedmann equation for simple equations of state of a medium is reduced to solving Abel integrals for algebraic functions.

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椭圆函数中的弗里德曼宇宙论

给出了标准\(\Lambda\) CDM宇宙学中Weierstrass和Jacobi函数中Friedmann方程的精确解。弗里德曼方程的右侧，描述了物质来源的各种贡献，以一般形式考虑。证明了简单介质状态方程的Friedmann方程的积分问题可以简化为求解代数函数的Abel积分问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community