Variations of the Fine Structure Constant in Space and Time

Abstract

This thesis describes a detailed investigation of the effects of matter inhomogeneities on the cosmological evolution of the fine structure constant using the Bekenstein-Sandvik-Barrow-Magueijo (BSBM) theory. We briefly review the observational and theoretical motivations to this work, together with the standard cosmological model. We start by analysing the phase space of the system of equations that describes a time-varying fine structure constant, in a homogeneous and isotropic background universe. We classify all the possible behaviours of the fine structure constant in ever-expanding universes and find exact solutions for it. Using a gauge-invariant formalism, we derive and solve the linearly perturbed Einstein cosmological equations for the BSBM theory. We calculate the time evolution of inhomogeneous perturbations of the fine structure constant on small and large scales with respect to the Hubble radius. We also investigate, in the non-linear regime of the large scale structure formation, the space-time evolution of the fine structure constant, inside evolving spherical overdensities. The dependence on the dark-energy equation of state is also analysed. Finally, we analyse the effects of the coupling of the field (that drives the variations in the fine structure constant) to the matter fields, on the space and time evolution of the fine structure constant.

158 pages, 39 figures; Ph.D. Thesis; DAMTP, University of Cambridge; (Ph.D. Advisor: John D. Barrow)

References in corpus (77)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Cosmic strings
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• The String Dilaton and a Least Coupling Principle
• Quintessence and the Rest of the World
• The fundamental constants and their variation: observational status and theoretical motivations
• Pre-Big-Bang in String Cosmology
• Cluster Abundance Constraints on Quintessence Models
• Further Evidence for Cosmological Evolution of the Fine Structure Constant
• A time varying speed of light as a solution to cosmological puzzles
• Further evidence for a variable fine-structure constant from Keck/HIRES QSO absorption spectra
• A CMB Polarization Primer
• Violations of the equivalence principle in a dilaton-runaway scenario
• Runaway dilaton and equivalence principle violations
• The Oklo bound on the time variation of the fine-structure constant revisited
• Superluminary Universe: A Possible Solution to the Initial Value Problem in Cosmology
• Possible evidence for a variable fine structure constant from QSO absorption lines: motivations, analysis and results
• A Simple Varying-alpha Cosmology
• On the Back Reaction Problem for Gravitational Perturbations
• Cosmologies with Varying Light-Speed
• A Search for Variations of Fundamental Constants using Atomic Fountain Clocks
• Cosmological implications of the MAXIMA-I high resolution Cosmic Microwave Background anisotropy measurement
• The Cosmological Evolution of the Nucleon Mass and the Electroweak Coupling Constants
• Varying Alpha in a More Realistic Universe
• The nuclear interaction at Oklo 2 billion years ago
• Implications of Gauge Unification for Time Variation of the Fine Structure Constant
• Changing alpha With Time: Implications For Fifth-Force-Type Experiments And Quintessence
• Back Reaction And Local Cosmological Expansion Rate
• Evolution of the Fine Structure Constant Driven by Dark Matter and the Cosmological Constant
• Varying-$\alpha$ Theories and Solutions to the Cosmological Problems
• Constraints on the Variations of the Fundamental Couplings
• Early-universe constraints on a time-varying fine structure constant
• The Behaviour of Varying-Alpha Cosmologies
• Constraining Variations in the Fine-Structure Constant with the Cosmic Microwave Background
• Solutions to the Quasi-flatness and Quasi-lambda Problems
• Constraints on the Variation of the Fine Structure Constant from Big Bang Nucleosynthesis
• Solving the Flatness and Quasi-flatness Problems in Brans-Dicke Cosmologies with a Varying Light Speed
• Looking for a varying $\alpha$ in the Cosmic Microwave Background
• Possible Constraints on the Time Variation of the Fine Structure Constant from Cosmic Microwave Background Data
• Cosmic concordance and the fine structure constant
• Models of quintessence coupled to the electromagnetic field and the cosmological evolution of alpha
• Quantum Gravity, the Origin of Time and Time's Arrow
• Time Variation of the Fine Structure Constant Driven by Quintessence
• Limits on Cosmological Variation of Strong Interaction and Quark Masses from Big Bang Nucleosynthesis, Cosmic, Laboratory and Oklo Data
• Fine-structure constant variability, equivalence principle and cosmology
• Primordial nucleosynthesis with a varying fine structure constant: An improved estimate
• Is it e or is it c? Experimental Tests of Varying Alpha
• Mapping the Dark Energy with Varying Alpha
• Time-Varying alpha and Particle Physics
• Do the Fundamental Constants Vary in the Course of the Cosmological Evolution?
• Constraining the variation of the coupling constants with big bang nucleosynthesis
• Variations of Alpha in Space and Time
• Measuring $\alpha$ in the Early Universe: CMB Temperature, Large-Scale Structure and Fisher Matrix Analysis
• Does the fine structure constant vary? A detailed investigation into systematic effects
• Predictions and Observations in Theories with Varying Couplings
• Testing cosmological variability of the proton-to-electron mass ratio using the spectrum of PKS 0528-250
• Anthropic Reasons for Non-Zero Flatness and Lambda
• Re/Os constraint on the time-variability of the fine-structure constant
• Constraining non standard recombination: A worked example
• Charge conservation and time-varying speed of light
• Gauge Coupling Variation in Brane Models
• Inflation in Kaluza-Klein Theory: Relation between the Fine-Structure Constant and the Cosmological Constant
• The Effect of Time Variation in the Higgs Vacuum Expectation Value on the Cosmic Microwave Background
• Space-Time Variation of Physical Constants and the Equivalence Principle
• The Cosmic Microwave Background: State of the Art
• A Varying-e Brane World Cosmology
• Supernova Cosmology and the Fine Structure Constant
• On the cosmological variation of the fine structure constant
• Anisotropies in the Cosmic Microwave Background: Theoretical Foundations
• A Model of Varying Fine Structure Constant and Varying Speed of Light
• Varying Couplings From Orbifold GUTs
• Fine-structure constant variability: surprises for laboratory atomic spectroscopy and cosmological evolution of quasar spectra
• Early Universe Cosmology and Tests of Fundamental Physics: Report of the P4.8 Working Subgroup, Snowmass 2001
• Seed Magnetic Fields from the Breaking of Lorentz Invariance
• Extra Dimensions and Varying Alpha

Cited by in corpus (1)

• Universe acceleration and fine structure constant variation in BSBM theory