AUTHOR=Malik Adnan , Mardan S. A. , Naz Tayyaba , Khan Shiraz 

TITLE=Analysis of class I complexity induced spherical polytropic models for compact objects

JOURNAL=Frontiers in Astronomy and Space Sciences

VOLUME=Volume 10 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/astronomy-and-space-sciences/articles/10.3389/fspas.2023.1182772

DOI=10.3389/fspas.2023.1182772

ISSN=2296-987X

ABSTRACT=In this research, we present a comprehensive framework that utilizes a complexity factor to analyze class $I$ generalized relativistic polytropes. We establish class $I$ generalized Lane-Emden equations using the Karmarkar condition under both isothermal and non-isothermal regimes. Our approach considers a spherically symmetric fluid distribution for two cases of generalized polytropic equation of state: $(i)$ the mass density case $\mu_{o}$ and $(ii)$ the energy density case $\mu$. To obtain numerical solutions for both cases, we solve two sets of differential equations that incorporate the complexity factor. Finally, we conduct a graphical analysis of these solutions.