https://doi.org/10.1140/epjc/s10052-024-13222-6
Regular Article – Theoretical Physics
The role of dimensions in gravitating relativistic shear-free fluids
1
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
2
Department of Mathematical Sciences, Mangosuthu University of Technology, P. O. Box 12363, 4026, Jacobs, South Africa
Received:
22
June
2024
Accepted:
9
August
2024
Published online:
29
August
2024
We study the dynamics of relativistic shear-free gravitating fluids in higher dimensions for both neutral and charged matter. We reduce the Einstein–Maxwell equations to a single second order nonlinear partial differential equation which contains two arbitrary functions. This generalizes the condition of pressure isotropy to higher dimensions; the new condition is functionally different from four dimensions. Our result in higher dimensions reduces to known results in four dimensions. The presence of higher dimensions affects the dynamics of relativistic fluids in general relativity. The dynamical behaviour of the gravitating fluid in higher dimensions is qualitatively different to the four dimensional case. Higher dimensions affect astrophysical and cosmological processes in gravitating shear-free fluids.
© The Author(s) 2024
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