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<p>A shear-free relativistic fluid with nonzero heat flux is studied by examining the higher dimensional spherically symmetric shear-free interior spacetime. The model is a heat conducting fluid undergoing dissipation. The Einstein field equations are generated in arbitrary dimensions for such a fluid and the assumption of isotropic fluid pressure realises a coupled partial differential equation in the gravitational potentials. We generate exact solutions to the isotropic pressure condition equation which represents a generalisation of the known four dimensional solutions. We also illustrate that the matter variables are physically well behaved and that the energy conditions are satisfied which is essential for constructing a complete and physically viable model in the context of radiating stars with vanishing shear.</p>

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Higher dimensional heat conducting models with vanishing shear

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月29日

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  • Shavani Naicker,
  • Byron P. Brassel,
  • Sunil D. Maharaj

摘要

A shear-free relativistic fluid with nonzero heat flux is studied by examining the higher dimensional spherically symmetric shear-free interior spacetime. The model is a heat conducting fluid undergoing dissipation. The Einstein field equations are generated in arbitrary dimensions for such a fluid and the assumption of isotropic fluid pressure realises a coupled partial differential equation in the gravitational potentials. We generate exact solutions to the isotropic pressure condition equation which represents a generalisation of the known four dimensional solutions. We also illustrate that the matter variables are physically well behaved and that the energy conditions are satisfied which is essential for constructing a complete and physically viable model in the context of radiating stars with vanishing shear.