Prediction of mass and radii of anisotropic polytropic compact objects with Buchdahl-I metric

S. A. Mardan; A. Zahra; Muhammad Bilal Riaz; Rubab Manzoor; Adnan Malik

doi:10.1140/epjc/s10052-025-13871-1

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 140
https://doi.org/10.1140/epjc/s10052-025-13871-1

Regular Article - Theoretical Physics

Prediction of mass and radii of anisotropic polytropic compact objects with Buchdahl-I metric

S. A. Mardan¹, A. Zahra¹^,2^a, Muhammad Bilal Riaz²^,3, Rubab Manzoor¹ and Adnan Malik⁴

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
³ Jadara University Research Center, Jadara University, Jordan
⁴ University of Management and Technology, Sialkot campus, Pakistan

^a F2019265004@umt.edu.pk, anam.zahra@vsb.cz

Received: 27 June 2024
Accepted: 24 January 2025
Published online: 4 February 2025

Abstract

In this article, we discuss several compact objects (GW 190814, PSR J0952-0607, PSR J0030+0451, PSR J0740+6620, GW 170817, PSR J1614-2230, PSR J2215+5135, and 4U 1608-52) to predict their masses and radii. A generalized polytropic stellar model within the framework of general relativity is derived by employing the Buchdahl-I metric. All the physical quantities such as energy density, radial, and tangential pressure are well behaved, continuous and no singularity is observed. The obtained results are compatible with observational data for compact objects under consideration. The physical stability of this model is determined by using generalized hydrostatic equilibrium condition, energy conditions, causality conditions and Herrera’s cracking technique. We observe that our model fulfills all of the requirements for being a physically realistic model.

© The Author(s) 2025

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