Schouten Solitons in a Relativistic Thermo- dynamical Spacetimes: A Geometric Approach

The purpose of this current article is to examine the soli-tonic aspect of a Schouten soliton with thermodynamical fluid space-time to be diminishing, stable or enlarging respectively. We obtainedseveral characterizations of thermodynamical fluid spacetime emergedwith Schouten soliton with Conformal killing, Ψ(Q) and torse-formingvector fields. Furthermore, we also provided some curvature constraintsof a thermodynamical fluid spacetime embedded with Schouten soli-ton. Moreover, we provide an example to verify our result. Finally, thisresearch may offer new perspectives into thermodynamic-geometric be-havior of astrophysical objects such as hot neutrons and Proto-starsand opens untapped directions into thermodynamical engineering andmodified-gravity theories.