A physical interpretation of the Newman Penrose formalism and its application to Bertrand Spacetime II

Author:

Jeevitha T U,Das Sanjit

Abstract

Abstract In general relativity, problems are usually approached with coordinate basis method, but there is an other efficient method for solving these problems, which is tetrad formalism. Newman Penrose formalism is an old and renowned approach in general relativity which served immense benefits in analytical and computational aspects. The basic ingredients on the NP equations are the null tetrad (lµ, nµ, m−µ, mµ ) here we construct a null tetrad for spherically symmetric static solutions that admit stable closed orbits called Bertrand Spacetime (BST) which has two type I & II, specially we concentrated on type-II. Along with this we studied Ricci spin coefficients, Ricci tensor and Weyl tensor.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference17 articles.

1. The Lanczos potential for vacuum spacetimes with an Ernst potential;Dolan;Journal of Mathematical Physics,1998

2. Bertrand Spacetimes;Perlick;Class. Quantum Grav.,1992

3. Spin coefficients and gauge fixing in the Newman-Penrose formalism;Nerozzi;Physical Review D,2017

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