Investigating generalized polytropic compact objects in f(R) gravity

A. Zahra; S. A. Mardan; Muhammad Bilal Riaz; Tomas Kozubek

doi:10.1140/epjc/s10052-025-13950-3

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 291
https://doi.org/10.1140/epjc/s10052-025-13950-3

Regular Article - Theoretical Physics

Investigating generalized polytropic compact objects in f(R) gravity

A. Zahra¹^,2, S. A. Mardan¹^a, Muhammad Bilal Riaz² and Tomas Kozubek²

¹ Department of Mathematics, University of the Management and Technology, C-II, Johar Town, 54590, Lahore, Pakistan
² IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic

^a syedalimardanazmi@yahoo.com

Received: 30 November 2024
Accepted: 17 February 2025
Published online: 13 March 2025

Abstract

This paper investigates realistic anisotropic matter configurations for spherical symmetry in f(R) gravity. The solutions obtained from Starobinsky model are used to determine the behavior of PSR J0740+6620, PSR J0348+0432 and 4U 1608-52 with polytropic equation of state. Analysis of physical parameters such as density, pressure, and anisotropy is illustrated through graphs, and the stability of compact objects is investigated by energy and causality conditions. We will also discuss the behavior of gravitational, hydrostatic and anisotropic forces, gravitational redshift and adiabatic index. The graphical representations demonstrate the realistic valuable f(R) gravity models at the theoretical and astrophysical scales.

© The Author(s) 2025

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