STATE SPACE CONSTRUCTION AND STABILITY ANALYSIS OF 2- COMPONENT FLUIDS UNDER EINSTEIN'S FIELD EQUATIONS

Yılmaz A. O., Güdekli E.

TURKISH PHYSICAL SOCIETY 39TH INTERNATIONAL PHYSICS CONGRESS, Muğla, Turkey, 31 August - 04 September 2023, pp.221

  • Publication Type: Conference Paper / Summary Text
  • City: Muğla
  • Country: Turkey
  • Page Numbers: pp.221
  • Istanbul University Affiliated: Yes

Abstract

In this study, we propose a novel dynamical system for a 2-component fluid within the framework of Einstein's field equations. By employing advanced dynamical system methods, we perform a comprehensive analysis of the fluid's behavior. We construct state spaces for these dynamical systems under various conditions, identifying equilibrium points and characterizing their stability. Our findings pave the way for new insights into the mathematical physics of multi-component fluids.