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- Title
Charged dust in Einstein–Gauss–Bonnet models.
- Authors
Naicker, Shavani; Maharaj, Sunil D.; Brassel, Byron P.
- Abstract
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.
- Subjects
LINEAR differential equations; DUST; EINSTEIN-Gauss-Bonnet gravity; DIFFERENTIAL equations; GENERAL relativity (Physics); LINEAR orderings; ELECTRIC arc
- Publication
General Relativity & Gravitation, 2023, Vol 55, Issue 10, p1
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-023-03157-w