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Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity

Research output: Thesis › Doctoral Thesis

Published

Standard

Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity. / Lloyd-Stubbs, Kit.
Lancaster University, 2022. 286 p.

Research output: Thesis › Doctoral Thesis

Harvard

Lloyd-Stubbs, K 2022, 'Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity', PhD, Lancaster University. https://doi.org/10.17635/lancaster/thesis/1829

APA

Lloyd-Stubbs, K. (2022). Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity. [Doctoral Thesis, Lancaster University]. Lancaster University. https://doi.org/10.17635/lancaster/thesis/1829

Vancouver

Lloyd-Stubbs K. Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity. Lancaster University, 2022. 286 p. doi: 10.17635/lancaster/thesis/1829

Author

Lloyd-Stubbs, Kit. / Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity. Lancaster University, 2022. 286 p.

Bibtex

@phdthesis{7f7b49f040d84fc39abe41329d7b99d2,
title = "Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity",
abstract = "This thesis presents research exploring aspects of inflation and cosmology in thecontext of inflation models in which an inflaton is non-minimally coupled to the Ricci scalar, or is considered in conjunction with a term quadratic in the Ricci scalar. We consider a ϕ2 Palatini inflation model in R2 gravity and investigate whether this model can overcome some of the problems of the original ϕ2 chaotic inflation model. We investigate the compatibility of this model with the observed CMB when treated as an effective theory of inflation in quantum gravity by examining the constraints on the model parameters arising due to Planck-suppressed potential corrections and reheating. Additionally, we consider two possible reheating channels and assess their viability in relation to the constraints on the size of the coupling to the R2 term. We present an application of the Affleck-Dine mechanism, in which quadratic B-violatingpotential terms generate the asymmetry, with a complex inflaton as theAffleck-Dine field. We derive the B asymmetry generated in the inflaton condensate analytically and numerically. We use the present-day asymmetry to constrain the size of the B-violating mass term and derive an upper bound on the inflaton mass in order for the Affleck-Dine dynamics to be compatible with non-minimally coupled inflation in the metric and Palatini formalisms. The baryon isocurvature fraction generated in this model is also examined against observational constraints. We demonstrate the existence of a new class of inflatonic Q-balls in a non-minimally coupled Palatini inflation model, through an analytical derivation of the Q-ball equation and numerical confirmation of the existence of solutions, and derive a range of the inflaton mass squared within which the model can inflate and produce Q-balls. We derive analytical estimates of the properties of these Q-balls, explore the effects of curvature, and discuss observational signatures of the model.",
keywords = "COSMOLOGY, Inflation, Baryogenesis",
author = "Kit Lloyd-Stubbs",
year = "2022",
doi = "10.17635/lancaster/thesis/1829",
language = "English",
publisher = "Lancaster University",
school = "Lancaster University",

}

RIS

TY - BOOK

T1 - Aspects of Inflation and Cosmology in Non-Minimally Coupled and R² Palatini Gravity

AU - Lloyd-Stubbs, Kit

PY - 2022

Y1 - 2022

N2 - This thesis presents research exploring aspects of inflation and cosmology in thecontext of inflation models in which an inflaton is non-minimally coupled to the Ricci scalar, or is considered in conjunction with a term quadratic in the Ricci scalar. We consider a ϕ2 Palatini inflation model in R2 gravity and investigate whether this model can overcome some of the problems of the original ϕ2 chaotic inflation model. We investigate the compatibility of this model with the observed CMB when treated as an effective theory of inflation in quantum gravity by examining the constraints on the model parameters arising due to Planck-suppressed potential corrections and reheating. Additionally, we consider two possible reheating channels and assess their viability in relation to the constraints on the size of the coupling to the R2 term. We present an application of the Affleck-Dine mechanism, in which quadratic B-violatingpotential terms generate the asymmetry, with a complex inflaton as theAffleck-Dine field. We derive the B asymmetry generated in the inflaton condensate analytically and numerically. We use the present-day asymmetry to constrain the size of the B-violating mass term and derive an upper bound on the inflaton mass in order for the Affleck-Dine dynamics to be compatible with non-minimally coupled inflation in the metric and Palatini formalisms. The baryon isocurvature fraction generated in this model is also examined against observational constraints. We demonstrate the existence of a new class of inflatonic Q-balls in a non-minimally coupled Palatini inflation model, through an analytical derivation of the Q-ball equation and numerical confirmation of the existence of solutions, and derive a range of the inflaton mass squared within which the model can inflate and produce Q-balls. We derive analytical estimates of the properties of these Q-balls, explore the effects of curvature, and discuss observational signatures of the model.

AB - This thesis presents research exploring aspects of inflation and cosmology in thecontext of inflation models in which an inflaton is non-minimally coupled to the Ricci scalar, or is considered in conjunction with a term quadratic in the Ricci scalar. We consider a ϕ2 Palatini inflation model in R2 gravity and investigate whether this model can overcome some of the problems of the original ϕ2 chaotic inflation model. We investigate the compatibility of this model with the observed CMB when treated as an effective theory of inflation in quantum gravity by examining the constraints on the model parameters arising due to Planck-suppressed potential corrections and reheating. Additionally, we consider two possible reheating channels and assess their viability in relation to the constraints on the size of the coupling to the R2 term. We present an application of the Affleck-Dine mechanism, in which quadratic B-violatingpotential terms generate the asymmetry, with a complex inflaton as theAffleck-Dine field. We derive the B asymmetry generated in the inflaton condensate analytically and numerically. We use the present-day asymmetry to constrain the size of the B-violating mass term and derive an upper bound on the inflaton mass in order for the Affleck-Dine dynamics to be compatible with non-minimally coupled inflation in the metric and Palatini formalisms. The baryon isocurvature fraction generated in this model is also examined against observational constraints. We demonstrate the existence of a new class of inflatonic Q-balls in a non-minimally coupled Palatini inflation model, through an analytical derivation of the Q-ball equation and numerical confirmation of the existence of solutions, and derive a range of the inflaton mass squared within which the model can inflate and produce Q-balls. We derive analytical estimates of the properties of these Q-balls, explore the effects of curvature, and discuss observational signatures of the model.

KW - COSMOLOGY

KW - Inflation

KW - Baryogenesis

U2 - 10.17635/lancaster/thesis/1829

DO - 10.17635/lancaster/thesis/1829

M3 - Doctoral Thesis

PB - Lancaster University

ER -