Charged dust in Einstein–Gauss–Bonnet models

被引:0
作者
Shavani Naicker
Sunil D. Maharaj
Byron P. Brassel
机构
[1] University of KwaZulu–Natal,Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science
[2] Durban University of Technology,Department of Mathematics, Faculty of Applied Sciences
来源
General Relativity and Gravitation | 2023年 / 55卷
关键词
EGB gravity; Charged dust; Exact solutions;
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摘要
We investigate the influence of the higher order curvature terms on the static configuration of a charged dust distribution in EGB gravity. The EGB field equations for such a fluid are generated in higher dimensions. The governing equation can be written as an Abel differential equation of the second kind, or a second order linear differential equation. Exact solutions are found to these equations in terms of special functions, series and polynomials. The Abel differential equation of the second kind is reducible to a canonical differential equation; three new families of solutions are found by constraining the coefficients of the canonical equation. The charged dust model is shown to be physically well behaved in a region at the centre, and dust spheres can be generated. The higher order curvature terms influence the dynamics of charged dust and the gravitational behaviour which is distinct from general relativity.
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