当前位置: X-MOL 学术Adv. Astron. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Oscillating Cosmological Solutions in the Modified Theory of Induced Gravity
Advances in Astronomy ( IF 1.4 ) Pub Date : 2019-04-24 , DOI: 10.1155/2019/1502453
Farkhat Zaripov 1
Affiliation  

This work is the extension of author’s research, where the modified theory of induced gravity (MTIG) is proposed. In the framework of the MTIG, the mechanism of phase transitions and the description of multiphase behavior of the cosmological scenario are proposed. The theory describes two systems (stages): Einstein (ES) and “restructuring” (RS). This process resembles the phenomenon of a phase transition, where different phases (Einstein’s gravitational systems, but with different constants) pass into each other. The hypothesis that such transitions are random and lead to stochastic behavior of cosmological parameters is considered. In our model, effective gravitational and cosmological “constants” arise, which are defined by the “mean square” of the scalar fields. These parameters can be compared with observations related to the phenomenon of dark energy. The aim of the work is to solve equations of MTIG for the case of a quadratic potential and compare them with observational cosmology data. The interaction of fundamental scalar fields and matter in the form of an ideal fluid is introduced and investigated. For the case of Friedmann-Robertson-Walker space-time, numerical solutions of nonlinear MTIG equations are obtained using the qualitative theory of dynamical systems and mathematical computer programs. For the case of a linear potential, examples joining of solutions, the ES and RS stages, of the evolution of the cosmological model are given. It is shown that the values of such parameters as “Hubble parameter” and gravitational and cosmological “constants” in the RS stage contain solutions oscillating near monotonically developing averages or have stochastic behavior due to random transitions to different stages (RS or ES). Such a stochastic behavior might be at the origin of the tension between CMB measurements of the value of the Hubble parameter today and its local measurements.

中文翻译:

引力修正理论中的振荡宇宙学解

这项工作是作者研究的扩展,提出了改进的感应重力理论(MTIG)。在MTIG的框架内,提出了相变的机理以及宇宙学场景多相行为的描述。该理论描述了两个系统(阶段):爱因斯坦(ES)和“重组”(RS)。此过程类似于相变现象,其中不同的相(爱因斯坦的引力系统,但具有不同的常数)相互传递。考虑这样的假设是随机的,并且导致宇宙学参数的随机行为。在我们的模型中,出现了有效的引力和宇宙学“常数”,其由标量场的“均方”定义。这些参数可以与暗能量现象相关的观察结果进行比较。这项工作的目的是求解二次势的情况下的MTIG方程,并将其与观测宇宙学数据进行比较。介绍并研究了基本标量场与物质以理想流体形式的相互作用。对于Friedmann-Robertson-Walker时空,使用动力学系统的定性理论和数学计算机程序获得了非线性MTIG方程的数值解。对于线性势的情况,给出了宇宙学模型演化的解,ES和RS阶段的连接示例。结果表明,RS阶段中诸如“哈勃参数”以及重力和宇宙学“常数”之类的参数的值包含接近单调发展的平均值振荡的溶液,或者由于随机过渡到不同阶段(RS或ES)而具有随机行为。这种随机行为可能是由于今天的哈勃参数的CMB测量值与其局部测量值之间的张力所致。
更新日期:2019-04-24
down
wechat
bug