Gauge-Dependent Cosmological "Constant"

Abstract

When the cosmological constant of spacetime is derived from the 5D induced-matter theory of gravity, we show that a simple gauge transformation changes it to a variable measure of the vacuum which is infinite at the big bang and decays to an astrophysically-acceptable value at late epochs. We outline implications of this for cosmology and galaxy formation.

14 pages, no figures, expanded version to be published in Class. Quantum Grav

References in corpus (4)

• The Cosmological Constant and Dark Energy
• Cosmological Constant - the Weight of the Vacuum
• Cosmological constant and gravitational theory on D-brane
• The Equivalence Principle as a Symmetry

Cited by in corpus (28)

• The Status of Modern Five-Dimensional Gravity
• Inducing the cosmological constant from five-dimensional Weyl space
• Decaying Dark Energy in Higher-Dimensional Gravity
• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• A Singular Conformal Spacetime
• On the embedding of spacetime in five-dimensional Weyl spaces
• de Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism
• An Embedding for General Relativity and its Implications for New Physics
• Quasi-Normal Modes of Massless Scalar Field around the 5D Ricci-flat Black String
• Vacuum Waves
• Noncompactified Kaluza--Klein Gravity
• Mach's Principle and Higher-Dimensional Dynamics
• Embeddings for General Relativity
• Quantum Statistical Entropy and Minimal Length of 5D Ricci-flat Black String with Generalized Uncertainty Principle
• The Real Solution to Scalar Field Equation in 5D Black String Space
• The Real Scalar Field Equation for Nariai Black Hole in the 5D Schwarzschild-de Sitter Black String Space
• Radiation and Potential Barriers of a 5D Black String Solution
• Cosmic Acceleration from Varying Masses in Five Dimensions
• Probing extra dimensions through cosmological observations of dark energy
• Primordial SdS universe from a 5D vacuum: scalar field fluctuations on Schwarzschild and Hubble horizons
• Scaling Relations for the Cosmological "Constant" in Five-Dimensional Relativity
• The Schwarzschild-de Sitter solution in five-dimensional general relativity briefly revisited
• Embeddings for 4D Einstein equations with a cosmological constant
• Self-similar cosmologies in 5D: Our universe as a topological separation from an empty 5D Minkowski space
• The Dynamic Behavior of Quantum Statistical Entropy in 5D Ricci-flat Black String with Thin-layer Approach
• The Numerical Solution of Scalar Field for Nariai Case in 5D Ricci-flat SdS Black String Space with Polynomial Approximation
• New asymptotic Anti-de Sitter solution with a timelike extra dimension in 5D relativity
• Sign Switching Dark Energy from a Running Barrow Entropy