Cosmological Evolution in R+R2 modified gravity Раджниш Сингх

Короткий опис

Сингх Раджниш Шакья.
Космологическая эволюция в R+R² - гравитации = Cosmological Evolution in R+R² modified gravity : Cosmological Evolution in R+R² modified gravity : диссертация ... кандидата физико-математических наук : 01.04.02 / Раджниш Сингх; [Место защиты: ФГАОУ ВО «Новосибирский национальный исследовательский государственный университет»]. - Новосибирск, 2022. - 84 с. разд. паг. : ил.
Оглавление диссертациикандидат наук Раджниш Сингх
Contents
Declaration of Authorship i
Acknowledgements ii
Abstract iv
1 Introduction
1.1 Modified Gravity Theories
1.1.1 Einstein-Cartan Theory
1.1.2 Gauss-Bonnet Gravity
1.1.3 Brans-Dicke Theory
1.2 f (R)-gravity
1.2.1 Metric f (R) gravity
1.2.2 Palatini f (R) gravity
1.2.3 Metric-affine f (R) gravity
1.2.4 Starobinsky Inflation
4
1.2.5 The (R - ^) model
2 Evolution in R + R2 gravity
2.1 The Modified Einstein's Field Equations
2.2 Solution from the beginning to gt
2.2.1 Solution at inflationary epoch
2.2.2 Numerical solutions at post-inflationary epoch
2.2.3 Asymptotic behavior of the solution at t » 1 and w = 1/3
2.2.4 Asymptotic solution at t » 1, gt < 1, and w =
2.2.5 Energy influx to cosmological plasma from the scalaron decay
2.2.6 Features of the distinctive cosmological evolution at t < 1/g
2.3 Solution at gt &
3 Dark Matter
3.1 Galaxy Rotation Curves
3.2 Possible Candidates
3.3 LSP as dark matter in R + R2 gravity
3.3.1 R2 -gravity versus General Relativity
3.3.2 LSP density for the scalaron decay into scalars
3.3.3 Decay into fermions or conformal scalars
3.4 Anomalous decay into gauge bosons
4 Dark matter in R + R2 cosmology with conformal anomaly
4.1 X-particle production through the scalaron decay
4.2 Production of X-particles in thermal plasma
4.3 Possible Observations
5 Conclusion
List of Figures