Charged dust in Einstein-Gauss-Bonnet models

被引：1

作者：

Naicker, Shavani ^{[1
]}

Maharaj, Sunil D. ^{[1
]}

Brassel, Byron P. ^{[1
,2
]}

机构：

[1] Univ KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa

[2] Durban Univ Technol, Fac Appl Sci, Dept Math, ZA-4000 Durban, South Africa

来源：

GENERAL RELATIVITY AND GRAVITATION | 2023年 / 55卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

EGB gravity; Charged dust; Exact solutions; NAKED SINGULARITIES; BLACK-HOLE; GRAVITATIONAL COLLAPSE; GRAVITY; SPHERES; STARS;

D O I：

10.1007/s10714-023-03157-w

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

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.

引用

页数：37

共 62 条

[1] Naked singularities in higher dimensional gravitational collapse [J].