Impact of Charge on Strange Compact Stars in Rastall Theory

Within the framework of Rastall theory, we investigate the impact of charge on the structural development of different types of spherically symmetric anisotropic stars. To do so, we present modified field equations based upon the Finch–Skea metric potentials expressed in terms of three parameters &l...

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Main Authors: Malick Sallah, Muhammad Sharif
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/11/1/25
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author Malick Sallah
Muhammad Sharif
author_facet Malick Sallah
Muhammad Sharif
author_sort Malick Sallah
collection DOAJ
description Within the framework of Rastall theory, we investigate the impact of charge on the structural development of different types of spherically symmetric anisotropic stars. To do so, we present modified field equations based upon the Finch–Skea metric potentials expressed in terms of three parameters <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>. These constants are determined using suitable matching conditions and observational data for compact objects which include Her X-1, SAX J 1808.4-3658, PSR J038-0842, LMC X-4 and SMC X-1. The equation of state offered by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">MIT</mi></semantics></math></inline-formula> bag model for quark–gluon plasma is used to investigate the inner structure and other characteristics of these compact objects. For a fixed bag constant, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">B</mi><mo>=</mo><mn>60</mn><mspace width="3.33333pt"></mspace><msup><mrow><mi>MeV</mi><mo>/</mo><mi>fm</mi></mrow><mn>3</mn></msup></mrow></semantics></math></inline-formula>, and two sets of the Rastall and charge parameters, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ζ</mi><mo>=</mo><mn>0.255</mn><mo>,</mo><mn>0.259</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="script">Q</mi><mo stretchy="false">˜</mo></mover><mo>=</mo><mn>0.2</mn><mo>,</mo><mn>0.7</mn></mrow></semantics></math></inline-formula>, respectively, we analyze the consistency of the matter variables in the model and other physical parameters such as energy conditions, stellar mass, compactness, and surface redshift. In addition, we assess the stability of the constructed model through two different approaches. It is found that the obtained model is physically viable and stable.
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spelling doaj-art-44457d8ec0114f8a9bc5085d03d4bb832025-01-24T13:51:31ZengMDPI AGUniverse2218-19972025-01-011112510.3390/universe11010025Impact of Charge on Strange Compact Stars in Rastall TheoryMalick Sallah0Muhammad Sharif1Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore 54000, PakistanDepartment of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore 54000, PakistanWithin the framework of Rastall theory, we investigate the impact of charge on the structural development of different types of spherically symmetric anisotropic stars. To do so, we present modified field equations based upon the Finch–Skea metric potentials expressed in terms of three parameters <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>. These constants are determined using suitable matching conditions and observational data for compact objects which include Her X-1, SAX J 1808.4-3658, PSR J038-0842, LMC X-4 and SMC X-1. The equation of state offered by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">MIT</mi></semantics></math></inline-formula> bag model for quark–gluon plasma is used to investigate the inner structure and other characteristics of these compact objects. For a fixed bag constant, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">B</mi><mo>=</mo><mn>60</mn><mspace width="3.33333pt"></mspace><msup><mrow><mi>MeV</mi><mo>/</mo><mi>fm</mi></mrow><mn>3</mn></msup></mrow></semantics></math></inline-formula>, and two sets of the Rastall and charge parameters, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ζ</mi><mo>=</mo><mn>0.255</mn><mo>,</mo><mn>0.259</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="script">Q</mi><mo stretchy="false">˜</mo></mover><mo>=</mo><mn>0.2</mn><mo>,</mo><mn>0.7</mn></mrow></semantics></math></inline-formula>, respectively, we analyze the consistency of the matter variables in the model and other physical parameters such as energy conditions, stellar mass, compactness, and surface redshift. In addition, we assess the stability of the constructed model through two different approaches. It is found that the obtained model is physically viable and stable.https://www.mdpi.com/2218-1997/11/1/25??? bag modelRastall theoryquark stars
spellingShingle Malick Sallah
Muhammad Sharif
Impact of Charge on Strange Compact Stars in Rastall Theory
Universe
??? bag model
Rastall theory
quark stars
title Impact of Charge on Strange Compact Stars in Rastall Theory
title_full Impact of Charge on Strange Compact Stars in Rastall Theory
title_fullStr Impact of Charge on Strange Compact Stars in Rastall Theory
title_full_unstemmed Impact of Charge on Strange Compact Stars in Rastall Theory
title_short Impact of Charge on Strange Compact Stars in Rastall Theory
title_sort impact of charge on strange compact stars in rastall theory
topic ??? bag model
Rastall theory
quark stars
url https://www.mdpi.com/2218-1997/11/1/25
work_keys_str_mv AT malicksallah impactofchargeonstrangecompactstarsinrastalltheory
AT muhammadsharif impactofchargeonstrangecompactstarsinrastalltheory