Abstract
A particle which is positively charged with spherically symmetry and non-rotating in empty space is taken to find out a metric or line element. The particle is under the influence of both gravitational and electro-magnetic field and the time component of this metric is depend on the combine effect of these two fields. Therefore in this work especial attention is given in Einstein gravitational and Maxwell’s electro-magnetic field equations. Einstein field equations are individually considered for gravitational and electro-magnetic fields in empty space for an isolated charged particle and combined them like two classical waves. To solve this new metric initially Schwarzschild like solution is used. There after a simple elegant and systematic method is used to determine the value of space coefficient and time coefficient of the metric. Finally to solve the metric the e-m field tensor is used from Maxwell’s electro-magnetic field equations. Thus in the metric the values of space and time coefficient is found a new one. The space and time coefficient in the new metric is not same in the metric as devised by Reissner and Nordstrom, The new space and time coefficient gives such an information about the massive body that at particular mass of a body can stop electro-magnetic interaction. Thus the new metric able to gives us some new information and conclusions.
Highlights
It was the year 1915, Albert Einstein [1] proposed a new field theory known as ‘The general theory of relativity’
The metric for gravitational field due to an electron was given by Reissner and Gunner Nordstrom [8,9,10,11,12] in 1921
Schwarzschild metric is understood in the year 1958 to describe a black hole [13] and in the year 1963 Kerr [3, 14]
Summary
It was the year 1915, Albert Einstein [1] proposed a new field theory known as ‘The general theory of relativity’. The metric for non-rotating charged cosmic celestial bodies are first devised by Reissner and Gunner Nordstrom. Considering the Newtonian potential in the above metric and on differentiation we get an equation of force In this equation of force if the mass of the body considered as zero the Bikash Kumar Borah: Gravitational and Electromagnetic Field of an Isolated Positively Charged Particle force is varying as the inverse cube of the distance, which is impossible. This means that there may have some discrepancy in mathematical derivation process of the metric. Further the new metric gives us some of physical characteristics of the charged cosmic celestial non-rotating bodies
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