A Theory of time-varying Constants

Abstract

We present a flat (K=0) cosmological model, described by a perfect fluid with the ``constants'' $G,c$ and $\Lambda$ varying with cosmological time $t$. We introduce Planckś ``constant'' $\hslash$ in the field equations through the equation of state for the energy density of radiation. We then determine the behaviour of the ``constants'' by using the zero divergence of the second member of the modified Einsteinś field equations i.e. $div(\frac{G}{c^4}{T}_i^j+{\delta }_i^j\Lambda )=0,$ together with the equation of state and the Einstein cosmological equations. Assuming realistic physical and mathematical conditions we obtain a consistent result with $\hslash c=constant$. In this way we obtain gauge invariance for the Schrödinger equation and the behaviour of the remaining ``constants''

15 pages, RevTeX4

References in corpus (5)

• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Cosmological models with bulk viscosity in presence of adiabatic matter creation and with G, c and Lambda variables
• Scale Invariant Cosmology
• Cosmological models with variable constants
• Cosmological Models with Variable Constants.Their Solution Through Similarity Methods

Cited by in corpus (5)

• Perfect Fluid Cosmological Models with time-varying Constants
• Zeldovich Lambda and Weinberg Relation: An Explanation for the Cosmological Coincidences
• Wheeler-DeWitt Equation with Variable Constants
• Two restrictions in the theories that include $G(t)$ and $c(t)$ varying with time
• Seeable universe and its accelerated expansion: an observational test