2002
DOI: 10.1088/0264-9381/19/18/309
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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 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 current observat… Show more

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Cited by 71 publications
(54 citation statements)
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“…Thus a variable Λ is consistent with Mach's principle that for a meaningful spacetime geometry presence of matter is a necessity (Vishwakarma 2002). The conservation of energy-momentum tensor requires…”
Section: Testing a λ ∝ ρ Modelsupporting
confidence: 53%
See 1 more Smart Citation
“…Thus a variable Λ is consistent with Mach's principle that for a meaningful spacetime geometry presence of matter is a necessity (Vishwakarma 2002). The conservation of energy-momentum tensor requires…”
Section: Testing a λ ∝ ρ Modelsupporting
confidence: 53%
“…Among them the most elementary is the cosmological constant Λ (Padmanabhan 2003;Peebles and Ratra 2003). Variable Λ models (Carvalho et al 1992;Wetterich 1995;Arbab 1997;Padmanabhan 2001;Vishwakarma 2002;Shapiro & Sola 2004;Dutta Choudhury & Sil 2006) were introduced later in an effort to overcome the fine tuning problem. Among other candidates most popular are different kinds of scalar fields like quintessence (caldwell et al 1998), K-essence (Chiba et al 2000)and phantom fields (caldwell 2002) to name only a few.…”
Section: Introductionmentioning
confidence: 99%
“…This relation has been obtained in a number of empirical models [10], [11]. More recently, it was obtained from a model based on the quantum gravitational uncertainty principle and the discrete structure of spacetime at Plank length [12], [13]. The dependence Λ (4) ∼ H 2 explains the current observations successfully and provides a much needed large age of the universe.…”
Section: Introductionmentioning
confidence: 93%
“…However, imposing this assumption on non-trivial cases would result in losing some important information. For example, taken on the face value, a time-dependent Λ, with matter, implies matter creation and results in a Machian model (Vishwakarma 2002a). However, if one makes an additional assumption of no interaction between T (matter) ik and Λ(t), these features are lost and Λ(t) reduces to a constant.…”
Section: Introductionmentioning
confidence: 99%