A Study of Compact Stellar Objects in f(R, T) Theory of Gravity
Round 1
Reviewer 1 Report
Comments and Suggestions for AuthorsThe paper investigates an anisotropic compact stellar model within the framework of f(R, T) gravity, and uses the Karmarkar condition to obtain exact solutions of the modified field equations. The authors assume a linear form for the function f(R,T)=R+2βT and adopt the Vaidya–Tikekar metricto describe the stellar interior. By matching the interior solution to the Schwarzschild exterior metric at the boundary, they determine model constants and explore physical viability through graphical analysis.
The study examines key features such as regularity of metric potentials, energy density and pressure profiles, anisotropy, and equation of state parameters. Stability is studied using the adiabatic index, causality condition, and Herrera cracking criterion, while equilibrium is verified via the Tolman–Oppenheimer–Volkoff equation. The authors also compare their analysis with known compact stars.
The paper is well written and carries new interesting information. I only have few minor comments.
- The introduction is comprehensive but the authors should clearly state the paper’s novelty compared to previous works using Karmarkar condition in f(R, T) gravity.
- Some eqs like 17-19 are very dense. The authors could write them in a more compact way by e.g. defining some variables
- The choice of the beta range is based on graphical analysis; however, the authors should justify this choice by using physical arguments
- Herrera cracking technique has appeared in some recent analysis in the literature like for example the following papers:
Generalized uncertainty principle corrections in Rastall–Rainbow Casimir wormholes, Eur.Phys.J.C 84 (2024) 12, 1314 • e-Print: 2409.09750 [gr-qc]
Constructing traversable wormhole solutions in f(R,L_m) theory
Chin.J.Phys. 86 (2023) 350-360 • DOI: 10.1016/j.cjph.2023.10.032
Spherically symmetric wormhole solutions admitting Karmarkar condition
Phys.Scripta 99 (2024) 5, 055036 • e-Print: 2404.17846 • DOI: 10.1088/1402-4896/ad3176
The authors could quote these papers to broaden the content and the scope of their introduction section.
Author Response
Please see the attachment.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
Comments and Suggestions for AuthorsManuscript ID
universe-4008137
A study of compact stellar objects in f(R, T ) theory of gravity
Authors
In this manuscript, the authors analyze the stability and physical viability of an anisotropic stellar model within the framework of f(R,T) gravity, assuming the Karmarkar condition to obtain an exact solution.
The gravitational action is modeled using a linear function of the Ricci scalar and the trace of the energy momentum tensor with a free parameter.
By prescribing a standard radial metric potential and deriving the corresponding temporal metric function through the Karmarkar condition, the authors obtain exact interior solutions that are matched smoothly to the Schwarzschild exterior metric.
Using observational data from the compact star Pulsar 4U1608-52 and other relevant systems, the study performs a numerical analysis of the model’s physical characteristics.
Stability in particular is investigated using some known criteria. Finally, the analysis identifies an admissible range of the model parameter that preserves stability.
The manuscript is well written, the calculations are clear and the conclusions are derived easily from the developments presented.
The interplay between the theoretical work with the applications to known astrophysical objects is very relevant to support the model.
I consider the manuscript provides a step forward in the knowledge of possible extensions to GR and may be of interest for a vast community.
I thus recommend the manuscript for publication in its present form in Universe.
Author Response
Please see the attachment.
Author Response File: Author Response.pdf
