Indian Journal of Science and Technology

Abstract

Objectives: With the reference to the Einstein’s theory of general relativity (1915), the evaluation of the rotating metrics such as Newman – Penrose Spin – Coefficients or NP Spin – Coefficients, the Ricci Scalars, the Weyl Scalars are designed with a ̸=0from the mass function or metric function ˆM (u; r). Methods: The methods / analysis adapted are the theoretical and mathematical analysis on the Einstein’s theory of general relativity. Findings: The Newman – Penrose Spin Coefficients (NP Spin – Coefficients), the Ricci Scalars, and the Weyl Scalars for the rotating metrics ˆM(u; r) with a ̸= 0 has been evaluated. Given by Wang and Wu (1999), the expanded form of the mass function or metric function with a ̸=0 has been used to evaluate the rotating metrics – NP Spin – Coefficients, the Ricci Scalars and the Weyl Scalars for a ̸= 0. The outcome is that the evaluation of rotating metrics with a ̸= 0 i.e. all the Newman – Penrose Spin Coefficients (NP Spin – Coefficients), the Ricci Scalars and the Weyl Scalars greatly simplifies the analysis of the theory of general relativity. Novelty: From the expended form of the mass function or metric function ˆM(u; r) with a ̸= 0 given by Wang and Wu (1999), all NP Spin – Coefficients, the Ricci Scalars, the Weyl Scalars has been derived for the option a ̸= 0. This paper evaluates the rotating metrics with all NP Spin – Coefficients, the Ricci Scalars and the Weyl Scalars with which greatly simplifies the analysis of the theory of general relativity. Also it is new way of formulation of the theory of general relativity with a ̸= 0.

Keywords: The Einstein’s theory of general relativity; The mass function or metric function; The Newman – Penrose Spin - Coefficients (NP Spin – Coefficients); The Ricci Scalars; The Weyl Scalars.