Volume : I, Issue : XI, August - 2012

Static Sphere Of Dust Of Uniform Density Using Isotropic Line Element

Dr. M. A. Gaikwad

Abstract :

We present an exact solution of Einstein’s field equation in the case of static sphere of dust of uniform density. This is achieved by putting pressure P =0, in Wyman’s1 exact solution, for a static sphere of fluid of uniform density. According to Newton’s theory, there cannot be a static sphere of fluid of uniform density, hence it is suggested that the term ma ( mass of ath particle ) in Hilbert’s2 action, is not a constant of motion, as has been assumed by Hilbert, but a function of coordinates. It is also suggested that the conditions of Newtonian approximation of Einstein’s field equation, given by Eddington3 are the constraints under which Einstein’s field equation holds good.

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Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

Dr.M.A.Gaikwad Static Sphere Of Dust Of Uniform Density Using Isotropic Line Element Indian Journal of Applied Research, Vol.I, Issue.XI August 2012

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