A Generalized Theory of Varying Alpha

Abstract

In this paper, we formulate a generalization of the simple Bekenstein-Sandvik-Barrow-Magueijo (BSBM) theory of varying alpha by allowing the coupling constant, ω, for the corresponding scalar field ψ to depend on ψ. We focus on the situation where ω is exponential in ψ and find the late-time behaviours that occur in matter-dominated and dark-energy dominated cosmologies. We also consider the situation when the background expansion scale factor of the universe evolves in proportion to an arbitrary power of the cosmic time. We find the conditions under which the fine structure `constant' increases with time, as in the BSBM theory, and establish a cosmic no-hair behaviour for accelerating universes. We also find the conditions under which the fine structure `constant' can decrease with time and compare the whole family of models with astronomical data from quasar absorption spectra.

25 pages, 6 figures. Minor corrections and clarifications added. Final section on spatial variations removed so that the paper focuses exclusively on time-variation

References in corpus (7)

• Dynamics of dark energy
• New Limits on Coupling of Fundamental Constants to Gravity Using ${}^{87}$Sr Optical Lattice Clocks
• Comment on "Limits on the Time Variation of the Electromagnetic Fine-Structure Constant in the Low Energy Limit from Absorption Lines in the Spectra of Distant Quasars"
• Limit on the Temporal Variation of the Fine-Structure Constant Using Atomic Dysprosium
• A new measure of Delta alpha/alpha at redshift z = 1.84 from very high resolution spectra of Q1101-264
• Bounds on the fine structure constant variability from FeII absorption lines in QSO spectra
• Varying Alpha: New Constraints from Seasonal Variations

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