Advanced International Journal for Research

E-ISSN: 3048-7641   •   Impact Factor: 9.11

A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 7, Issue 1 (January-February 2026) Submit your research before last 3 days of February to publish your research paper in the issue of January-February.
Submit Research Paper Join as a Reviewer

Plagiarism is checked by the leading plagiarism checker TurnItIn

Call for Paper

Volume 7 Issue 1
January-February 2026

Submit your research paper

Indexing Partners
Academia Advanced Sciences Index Bielefeld Academic Search Engine CiteSeer DRJI Google Scholar Independent Search Engine & Directory Network ISI (International Scientific Indexing) Issuu Mendeley Research Networks
RefSeek ResearcherId - Thomson Reuters ResearchGate Scirus Scribd Semantic Scholar UTeM - Universiti Teknikal Malaysia Melaka Wiki for Call for Papers WorldCat Zenodo

Analytical Investigation of Neutron Star Models Using the Homotopy Perturbation Method

Author(s) Mohammad Ajazuddin, Dr. J.P Singh
Country India
Abstract Neutron stars represent one of the most compact astrophysical objects in the universe, characterized by extremely high densities and strong gravitational fields. The study of their internal structure requires the framework of general relativity, where the Einstein field equations and the Tolman–Oppenheimer–Volkoff (TOV) equation govern the equilibrium configuration of matter. However, these equations are highly nonlinear and difficult to solve analytically. In this work, the Homotopy Perturbation Method (HPM) is employed to obtain approximate analytical solutions for relativistic neutron star models. The method provides a systematic and rapidly convergent approach to handle nonlinear differential equations without the need for small perturbation parameters. The derived solutions are analyzed for physical acceptability by examining energy conditions, pressure and density profiles, causality constraints, and stability criteria. The results demonstrate that the Homotopy Perturbation Method offers an efficient and reliable semi-analytical technique for modeling neutron stars and understanding their structural properties under relativistic conditions.
Keywords Neutron Star, General Relativity, Homotopy Perturbation Method, Tolman–Oppenheimer–Volkoff Equation, Compact Stars
Field Physics
Published In Volume 6, Issue 6, November-December 2025
Published On 2025-12-27
DOI https://doi.org/10.63363/aijfr.2025.v06i06.2744
Short DOI https://doi.org/hbg69x
View / Download PDF File

Share this



E-ISSN 3048-7641
CrossRef

CrossRef DOI is assigned to each research paper published in our journal.

AIJFR DOI prefix is
10.63363/aijfr

Downloads
Research Paper Format Copyright Permission Form and Undertaking Form Cover Page Vol 7 Isu 1Cover Page Vol 6 Isu 6Cover Page Vol 6 Isu 5

All research papers published on this website are licensed under Creative Commons Attribution-ShareAlike 4.0 International License, and all rights belong to their respective authors/researchers.

CC-BY-SA Open Access

About AIJFR
Fees & Payment
Current Issue
Publication Archive 		Submit Research Paper
Track Submission Status
Publication Guidelines
Publication Ethics
Peer Review & Plagiarism 		Join as a Reviewer
Editors & Reviewers
Reviewer Referral Program
Get Reviewer Membership Certi. 		Website/Journal Policies
Usage Policy
Content Policies
Privacy Policy
Contact Us +91-9898-79-39-59 editor@aijfr.com