Brassel, Byron P.Maharaj, Sunil D.Goswami, Rituparno2024-08-152024-08-152021-10-07Brassel, B.P., Maharaj, S.D. and Goswami, R. 2021. Higher-dimensional inhomogeneous composite fluids: energy conditions. Progress of Theoretical and Experimental Physics. 2021(10): 1-20. doi:10.1093/ptep/ptab1162050-3911 (Online)https://hdl.handle.net/10321/5416The energy conditions are studied, in the relativistic astrophysical setting, for higher-dimensional Hawking–Ellis Type I and Type II matter fields. The null, weak, dominant and strong energy conditions are investigated for a higher-dimensional inhomogeneous, composite fluid distribution consisting of anisotropy, shear stresses, non-vanishing viscosity as well as a null dust and null string energy density. These conditions are expressed as a system of six equations in the matter variables where the presence of the higher dimension $N$ is explicit. The form and structure of the energy conditions is influenced by the geometry of the $(N-2)$-sphere. The energy conditions for the higher-dimensional Type II fluid are also generated, and it is shown that under certain restrictions the conditions for a Type I fluid are regained. All previous treatments for four dimensions are contained in our work.20 pen49 Mathematical sciences51 Physical sciencesArticle2024-08-1410.1093/ptep/ptab116