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, Türkiye, 31 Ağustos - 04 Eylül 2023, ss.221

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Muğla
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.221
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.