Gravitational and Electromagnetic Field of a Non-rotating and Rotating Charged Mass

Abstract

A new alternative method is presented here to find out a metric for an isolated charged mass situated at the origin in empty space. Since the charged mass has the both gravitational and electromagnetic field, therefore at first a crude line element or metric is considered for the mass, and then another crude line element is considered for the electric charge of the body. The both line elements are the functions of the distance, therefore combined the both line elements and a most general form of line element is found. To solve this metric Einstein’s gravitational and Maxwell’s electromagnetic (e-m) field equations are used. In the method of solutions e-m field tensor is also used which is found from Maxwell’s e-m field equations. After a rigorous derivation the metrics are found for both positively charged and negatively charged massive particles. The new metric for an electron is different as the metric is devised by Reissner and Nordstrom. The metric for a proton is extended for the massive body and which gives some new interesting information about the mass required to stop e-m interaction. This means that above the aforesaid mass there is no electrically charged body in the universe. On the other hand we can say that life cannot survive in those massive planets which masses are greater than 1.21 times of Jupiter mass. The metric found for proton is used to find another new metric for rotating charged massive body.