Differential geometric study demonstrates Ricci-symmetric curvature and constant warping functions in thermodynamic fluid space-times, highlighting structural constraints in relativistic fluids.
We perform a comprehensive analysis of thermodynamic fluid space-time. First we describe a 4D relativistic thermodynamic fluid space-time. Next we explore a new class of semi-Riemannian manifolds which are Ricci-symmetric and derive Codazzi type Ricci tensor on sequential warped product thermodynamic fluid space-time. Furthermore, we show that the warping functions for a sequential warped product thermodynamic fluid space-time are constants under specific conditions. In the latter part, specific curvature aspects in relativistic thermodynamic fluid space-time are studied. We conclude with an elucidation of 4D relativistic thermodynamic fluid space-time through an example.
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Pahan et al. (2026) studied this question.
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