Volume : VIII, Issue : XII, December - 2018

POTENTIAL ENERGY DENSITY USING ISOTROPIC CO-ORDINATE SYSTEM

Dr. M. A. Gaikwad

Abstract :

 The Potential Energy in Isotropic coordinate system has also been calculated in yhe case of quasi–static sphere of perfect fluid of uniform density in the present investigation. The order of potential energy in this case agrees well with Newton’s theory. The time dependent solution has been studied by Narlikar et.al. [1935] by Einstein’s theory. The motion in the case of Narlikar’s solution is not a unique motion, like Newtonian motion with acceleration, given by Kelkar et.al. The time dependent solutions  of Narlikar [1935] contains arbitrary function of time, so that the solutions can give any arbitrary motion having no correlation with Newton’s theory. The Potential Energy is not negligible as compared with Newton’s Theory in the isotropic Coordinate system. But the radial motion in the isotropic coordinate system has not been calculated so far.

Narlikar has obtained the solution of time dependent equation in the isotropic coordinate system using Einstein’s theory but has not interpreted the solution in the terms of motion of the fluid.

Potential energy density of quasi–static sphere of perfect fluid of uniform density is calculated using isotropic coordinate system in the present investigation only.  

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Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

POTENTIAL ENERGY DENSITY USING ISOTROPIC CO–ORDINATE SYSTEM , Dr.M.A.Gaikwad , INDIAN JOURNAL OF APPLIED RESEARCH : Volume-8|Issue-12| December-2018

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