Stellar model in Tolman VII space-time with non-zero Strange quark mass (ms≠0) and some observational aspects

A new class of exact solutions of Einstein field equation of anisotropic compact star, considering Tolman VII metric ansatz, is presented in this paper. The interior matter is presumed to be composed of quarks and electrons to satisfy the charge neutrality criteria and following the MIT equation of state [Formula: see text], we have analyzed the internal structure of quark stars, where [Formula: see text] is known as bag constant. Here, we have considered non-zero value of strange quark mass ([Formula: see text]) to study how [Formula: see text] affects the physical properties of compact stars. Different stability windows for different choices of [Formula: see text] and [Formula: see text] have been studied. The model is found suitable for prediction of radii of stars having wide range of mass. We have predicted the radius of the recently observed GW event GW 230529 having mass [Formula: see text] [Formula: see text] in the range of [Formula: see text] for [Formula: see text][Formula: see text][Formula: see text] when [Formula: see text] lies in the range 0–150[Formula: see text]MeV. In this paper, we have noted that [Formula: see text] imposes some constraints on the radii of compact stars. We note that with the increment of [Formula: see text], the predicted radii decrease which points toward a softer equation of state. On the basis of thorough investigation, we note that our model fulfills all the stability criteria of stable stellar configuration.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-06-27
DOI
https://doi.org/10.1142/s0219887825502664
Primary Topic
Cosmology and Gravitation Theories
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article
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article

Stellar model in Tolman VII space-time with non-zero Strange quark mass (ms≠0) and some observational aspects

P. K. Chattopadhyay, K. B. Goswami, Abdelilah Hakim
International Journal of Geometric Methods in Modern Physics
Cosmology and Gravitation Theories
article

Stellar model in Tolman VII space-time with non-zero Strange quark mass (ms≠0) and some observational aspects

P. K. Chattopadhyay, K. B. Goswami, Abdelilah Hakim
article en

Abstract

A new class of exact solutions of Einstein field equation of anisotropic compact star, considering Tolman VII metric ansatz, is presented in this paper. The interior matter is presumed to be composed of quarks and electrons to satisfy the charge neutrality criteria and following the MIT equation of state [Formula: see text], we have analyzed the internal structure of quark stars, where [Formula: see text] is known as bag constant. Here, we have considered non-zero value of strange quark mass ([Formula: see text]) to study how [Formula: see text] affects the physical properties of compact stars. Different stability windows for different choices of [Formula: see text] and [Formula: see text] have been studied. The model is found suitable for prediction of radii of stars having wide range of mass. We have predicted the radius of the recently observed GW event GW 230529 having mass [Formula: see text] [Formula: see text] in the range of [Formula: see text] for [Formula: see text][Formula: see text][Formula: see text] when [Formula: see text] lies in the range 0–150[Formula: see text]MeV. In this paper, we have noted that [Formula: see text] imposes some constraints on the radii of compact stars. We note that with the increment of [Formula: see text], the predicted radii decrease which points toward a softer equation of state. On the basis of thorough investigation, we note that our model fulfills all the stability criteria of stable stellar configuration.

International Journal of Geometric Methods in Modern Physics
Cooch Behar Panchanan Barma University (IN)
Climate action
Openalex Percentile: Top 90%
Cosmology and Gravitation Theories
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Stellar model in Tolman VII space-time with non-zero Strange quark mass (ms≠0) and some observational aspects — P. K. Chattopadhyay, K. B. Goswami, et al. · International Journal of Geometric Methods in Modern Physics (2025) | TGRS Research Map | TGRS