R G Vishwakarma 2002 Class. Quantum Grav. 19 4747 doi:10.1088/0264-9381/19/18/309
R G Vishwakarma1
Show affiliationsEinstein 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 current observations successfully and also has some benefits over the conventional models. This forces one to think about whether Mach's ideas and the cosmological constant are interrelated in some way.
95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)
04.60.Pp Loop quantum gravity, quantum geometry, spin foams
04.20.Gz Spacetime topology, causal structure, spinor structure
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 18 (21 September 2002)
Received 22 May 2002, in final form 19 July 2002
Published 2 September 2002
R G Vishwakarma 2002 Class. Quantum Grav. 19 4747
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