The Ambiguity in the Definition and Behavior of the Gravitational and Cosmological "Coupling Constants' in the Theory of Induced Gravity

被引:3
|
作者
Zaripov, Farkhat [1 ]
机构
[1] Kazan Fed Univ, N Lobachevsky Inst Math & Mech, Kazan 420008, Russia
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 01期
关键词
cosmology; universe; dark energy; cosmological constant; dark matter; symmetry; DARK; VACUUM; SEARCH;
D O I
10.3390/sym11010081
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This work is the extension of author's research, where the modified theory of induced gravity (MTIG) is proposed. The theory describes two systems (stages): Einstein (ES) and restructuring (RS). We consider equations with quadratic potential that are symmetric with respect to scale transformations. The solutions of the equations obtained for the case of spaces defined by the Friedman-Robertson-Walker metric, as well as for a centrally symmetric space are investigated. In our model arise effective gravitational and cosmological constants, which are defined by the mean square of the scalar fields. In obtained solutions the values of such parameters as Hubble parameter, gravitational and cosmological constants in the RS stage fluctuate near monotonically evolving mean values. These parameters are matched with observational data, described as phenomena of dark energy and dark matter. The MTIG equations for the case of a centrally symmetric gravitational field, in addition to the Schwarzschild-de Sitter solutions, contain solutions that lead to the new physical effects at large distances from the center. The Schwarzschild-Sitter solution becomes unstable and enters the oscillatory regime. For distances greater than a certain critical value, the following effects can appear: deviation from General relativity and Newton's law of gravitational interaction, antigravity.
引用
收藏
页数:45
相关论文
共 27 条