A Machian model of dark energy

  title={A Machian model of dark energy},
  author={Ram Gopal Vishwakarma},
  journal={Classical and Quantum Gravity},
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 paper that the kinematical Λ 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… 

Figures from this paper

The Principles of Self Creation Cosmology and its Comparison with General Relativity
There are, at present, several gravitational and cosmological anomalies; the dark energy problem, the lambda problem, accelerating cosmological expansion, the anomalous Pioneer spacecraft
Can brane cosmology with a vanishing Λ explain the observations
A plethora of models of the universe have been proposed in recent years claiming that the present universe is accelerating, being driven by some hypothetical source with negative pressure
A note on the integral formulation of Einstein’s equations induced on a braneworld
We revisit the integral formulation (or Green’s function approach) of Einstein’s equations in the context of braneworlds. The integral formulation has been proposed independently by several authors
Fomin’s conception of quantum cosmogenesis
The main aim of this paper is to extend the early approach to quantum cosmogenesis provided by Fomin. His approach was developed independently of the well-known Tryon description of creation of a
Accelerated expansion of the universe in a non-trivial extra-dimensional topology
The recent observational available data for an accelerated expansion state of the present universe, obtained from distant SNeIa gave strong support to the search of alternative cosmologies. Recently,
Λ and the Heisenberg Principle
A time dependent “cosmological constant” Λ(t) is conjectured, in terms of the Gaussian curvature of the causal horizon. It is nonvanishing even in Minkowski space because of the lack of informations
Higher Dimensional Cosmological Implications Of A Decay Law For λ Term: Expressions For Some Observable Quantities
Implications of cosmological model with a cosmological term of the form $$\Lambda= \beta \frac{ddot {a}}{a}$$, where β is a constant, are analyzed in multidimensional space time. The proper distance,
Deformed special relativity with an invariant minimum speed as an explanation of the cosmological constant
This paper shows the need for the emergence of a universal minimum speed in the space–time by thoroughly investigating Dirac’s large number hypothesis (LNH). We realise that there should be a minimum


Cosmological consequences of a rolling homogeneous scalar field.
  • Ratra, Peebles
  • Physics
    Physical review. D, Particles and fields
  • 1988
It is argued that a number of models in which the energy density of the scalar field red-shifts in a specific manner are studied could reconcile the low dynamical estimates of the mean mass density with the negligibly small spatial curvature preferred by inflation.
Cosmological imprint of an energy component with general equation of state
We examine the possibility that a significant component of the energy density of the Universe has an equation of state different from that of matter, radiation, or cosmological constant ({Lambda} ).
Quintessence, cosmic coincidence, and the cosmological constant
Recent observations suggest that a large fraction of the energy density of the Universe has negative pressure. One explanation is vacuum energy density; another is quintessence in the form of a
Consequences for some dark energy candidates from the type Ia supernova SN 1997ff
We examine the status of various dark energy models in light of the recently observed SN 1997ff at z 1.7. The modified data still fit a pure cosmological constant A or a quintessence with an equation
A study of angular size-redshift relation for models in which Λ decays as the energy density
By modifying the Chen and Wu ansatz, we have investigated some Friedmann models in which Λ varies as ρ. In order to test the consistency of the models with observations, we study the angular
Implications of a cosmological constant varying as R-2.
  • Chen, Wu
  • Physics
    Physical review. D, Particles and fields
  • 1990
It is shown that such a time-varying {Lambda} leads to creation of matter with a rate at present which is comparable to that in the steady-state cosmology, and alleviates some problems in reconciling observations with the inflationary scenario.
A flat Universe from high-resolution maps of the cosmic microwave background radiation
The first images of resolved structure in the microwave background anisotropies over a significant part of the sky are reported, consistent with that expected for cold dark matter models in a flat (euclidean) Universe, as favoured by standard inflationary models.
The Cosmological Constant Problem
Astronomical observations indicate that the cosmological constant is many orders of magnitude smaller than estimated in modern theories of elementary particles. After a brief review of the history of
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
We present spectral and photometric observations of 10 Type Ia supernovae (SNe Ia) in the redshift range 0.16 ≤ z ≤ 0.62. The luminosity distances of these objects are determined by methods that