A Machian Model of Dark Energy

Abstract

Einstein believed that Mach's principle should play a major role in finding a meaningful spacetime geometry, though it was discovered later that his field equations gave some solutions which were not Machian. It is shown, in this essay, that the kinematical $\Lambda$ models, which are invoked to solve the cosmological constant problem, are in fact consistent with Mach's ideas. One particular model in this category is described which results from the microstructure of spacetime and seems to explain the current observations successfully and also has some benefits over the conventional models. This forces one to think whether the Mach's ideas and the cosmological constant are interrelated in some way.

Received an Honorable mention in the Essay Contest-2002 sponsored by the Gravity Research Foundation; A paragraph added on how the model can explain the CMB anisotropy observations; To appear in the Classical and Quantum Gravity

References in corpus (7)

• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Cosmology and the Fate of Dilatation Symmetry
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• A High Spatial Resolution Analysis of the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• Measurement of stellar age from uranium decay
• Consequences on variable Lambda-models from distant Type Ia supernovae and compact radio sources
• Consequences on some dark energy-candidates from the type Ia supernova SN 1997ff

Cited by in corpus (35)

• Some Bianchi Type I Viscous Fluid Cosmological Models with a Variable Cosmological Constant
• Is the present expansion of the universe really accelerating?
• Holographic Dark Energy and the Universe Expansion Acceleration
• Dark energy with polytropic equation of state
• A Model to Explain Varying $\Lambda$, $G$ and ${\sigma }^2$ Simultaneously
• Variable Equation of State for Generalized Dark Energy Model
• Can brane cosmology with a vanishing Λexplain the observations?
• Cosmic vacuum energy decay and creation of cosmic matter
• Brane-Universes with Variable G and Lambda
• A Singular Conformal Spacetime
• Variation of G, ${\Lambda }_{(4)}$ and Vacuum Energy From Brane-World Models
• Some Homogeneous Bianchi Type IX Viscous Fluid Cosmological Models with a varying $\Lambda$
• Dynamical system approach to running $\Lambda$ cosmological models
• A flat FRW model with dynamical $\Lambda$ as function of matter and geometry
• Cosmological Models with Variable Gravitational and Cosmological constants in $R^2$ Gravity
• Lorentz violation with an invariant minimum speed as foundation of the tachyonic inflation within a Machian scenario
• Interacting holographic dark energy models: A general approach
• Cosmological models with running cosmological term and decaying dark matter
• Accelerating Universe from an Evolving Lambda in Higher Dimension
• Modeling Repulsive Gravity with Creation
• Time variable $\Lambda$ and the accelerating Universe
• Accelerated expansion from braneworld models with variable vacuum energy
• Phenomenological Dark Energy model with hybrid dynamic Cosmological Constant
• A Better Way to Reconstruct Dark Energy Models ?
• Higher Dimensional Cosmological Implications Of A Decay Law For $\Lambda$ Term : Expressions For Some Observable Quantities
• Deformed Special Relativity with an invariant minimum speed as an explanation of the cosmological constant
• Energy conditions for Inhomogeneous EOS and its Thermodynamics analysis with the resolution on finite time future singularity problems
• A brief review of a modified relativity that explains cosmological constant
• The coincidence problem in $f(R)$ gravity models
• The Principles of Self Creation Cosmology and its Comparison with General Relativity
• Anisotropic Brane Cosmology with Variable $G$ and $\Lambda$
• Adiabatic Particle Production with Decaying $\Lambda$ and Anisotropic Universe
• Fomin's conception of quantum cosmogenesis
• Cosmological solutions in the Brans-Dicke theory via invariants of symmetry groups
• A Note on the Integral Formulation of Einstein's Equations Induced on a Braneworld