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=10

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=<p>In this research, we present a comprehensive framework that uses a complexity factor to analyze class <italic>I</italic> generalized relativistic polytropes. We establish class <italic>I</italic> 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 the generalized polytropic equation of state: 1) the mass density case <italic>μ</italic><sub><italic>o</italic></sub> and 2) the energy density case <italic>μ</italic>. 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.</p>