Njabulo Mkhize

Njabulo Mkhize
University of KwaZulu-Natal | ukzn · Department of Applied Mathematics

Master of Science

About

6
Publications
243
Reads
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36
Citations
Citations since 2016
6 Research Items
36 Citations
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
Introduction

Publications

Publications (6)
Article
Full-text available
It is known that the standard Schwarzschild interior metric is conformally flat and generates a constant density sphere in any spacetime dimension in Einstein and Einstein-Gauss-Bonnet (EGB) gravity. This motivates the questions: in EGB does the conformal flatness criterion yield the Schwarzschild metric? Does the assumption of constant density gen...
Preprint
It is known that the standard Schwarzschild interior metric is conformally flat and generates a constant density sphere in any spacetime dimension in Einstein and Einstein--Gauss--Bonnet gravity. This motivates the questions: In EGB does the conformal flatness criterion yield the Schwarzschild metric? Does the assumption of constant density generat...
Article
A new exact solution to the field equations in the Einstein-Gauss-Bonnet modified theory of gravity, for a six-dimensional spherically symmetric static distribution of a perfect fluid source is presented. The pressure isotropy equation is integrated after a form for the temporal potential proportional to the radius is postulated to close the system...
Article
We investigate the behaviour of the Tolman metrics within the formalism of the trace-free (or unimodular) gravity. A solution generating algorithm is presented which influences the physical character of the models proposed. Specifically an additive constant of integration (K) is persistently in attendance and while it has little influence on the de...
Preprint
Full-text available
We investigate the behaviour of the Tolman metrics within the formalism of the trace-free (or unimodular) gravity. While this approach is similar to the standard Einstein field equations, some subtlety arises. The effective number of independent field equations is reduced by one on account of the density and pressure appearing as an inseparable ent...
Article
We construct models of static spherical distributions of perfect fluid in trace--free Einstein gravity theory. The equations governing the gravitational field are equivalent to the standard Einstein's equations however, their presentation is manifestly different which motivates the question whether new information would emerge due to the nonlineari...

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