Ricci soliton and relativistic thermodynamical fluid spacetime

Bidyabati Thangjam, Zosangzuala Chhakchhuak and M.S. Devi

Chaos, Solitons & Fractals, 2025, vol. 194, issue C

Abstract: This paper explores how Ricci solitons interact with relativistic thermodynamical fluid spacetimes. By combining concepts from general relativity and thermodynamics, we analyze the geometric structure of spacetime modeled as a thermodynamical fluid. We focus on the Ricci soliton, a generalization of the Einstein metric, to understand its influence on the dynamic behavior and long-term evolution of spacetime. Key equations and theorems are derived to describe the conditions under which Ricci solitons exhibit expanding, steady, or shrinking behavior in this context. The study also examines how different vector fields affect the soliton’s behavior, including deriving and discussing modified Poisson, Liouville equations, and harmonic functions in thermodynamical fluid spacetimes. We also investigate gradient Ricci soliton and their implications for spacetime structure, and provide an example to validate our results.

Keywords: Lorentzian spacetime manifold; Ricci soliton; Thermodynamical fluid spacetime (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002152

DOI: 10.1016/j.chaos.2025.116202

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