Contributions of Howusu’s Great Metric Tensor To General Relativity:- Ukewulonu, Kelechi U

ABSTRACT

Following the birth of general relativity, there have been attempts to solve Einstein's field equation. Schwarzschild solution is one of the solutions that have stood the test of time. However, this solution is constrained to a non-rotating point mass placed at a distance outside and greater than the radius of the sphere. However, Howusu gave another solution to Einstein Field equation called Howusu’s great metric tensor. He made this metric tensor flexible such that it can accommodate every coordinate system. In this work, Howusu’s great metric tensor was used to compute the Christoffel symbol of the second kind. The Christoffel symbol is a very useful tool in general relativity. The non-zero values of the Christoffel symbols were 35. The zero components were 29. The result obtained was compared to the Christoffel symbol of the Schwarzschild metric. The vanishing components of the Schwarzschild metric were 51, while 13 values did not varnish.