Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity

Abstract This study extends the concept of cracking to self-gravitating, spherically symmetric compact objects in modified $$f(R, \varphi )$$ f ( R , φ ) theory of gravity, where R represents the Ricci scalar, and $$\varphi $$ φ is the scalar potential. In this regard, we consider spherically symmet...

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Main Authors: Adnan Malik, Attiya Shafaq, Fatemah Mofarreh, M. Farasat Shamir, Wedad Albalawi
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13868-w
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author Adnan Malik
Attiya Shafaq
Fatemah Mofarreh
M. Farasat Shamir
Wedad Albalawi
author_facet Adnan Malik
Attiya Shafaq
Fatemah Mofarreh
M. Farasat Shamir
Wedad Albalawi
author_sort Adnan Malik
collection DOAJ
description Abstract This study extends the concept of cracking to self-gravitating, spherically symmetric compact objects in modified $$f(R, \varphi )$$ f ( R , φ ) theory of gravity, where R represents the Ricci scalar, and $$\varphi $$ φ is the scalar potential. In this regard, we consider spherically symmetric spacetime characterized with an anisotropic matter to detect the instabilities of self-gravitating compact objects via cracking and overturning. Further, we construct the general framework to observe the cracking and overturning points by applying the local density perturbation technique to the configuration governed by barotropic equation of state. The effectiveness of this approach is assessed by analyzing its results on the data of Her X-1, SAX J1808.4-3658, and 4U 1820-30 respectively. It is concluded that cracking points appear in the different interior regions of these three stars. Significantly, this study illustrates the effectiveness of the cracking approach by highlighting the regions sensitive to localized density disruptions, offering valuable insights into the structural behavior of compact stars within a modified gravity framework.
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institution Kabale University
issn 1434-6052
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publishDate 2025-02-01
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record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-1e4e03de0c474fa397fb033bd50d40002025-02-09T12:51:42ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185211510.1140/epjc/s10052-025-13868-wOverturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravityAdnan Malik0Attiya Shafaq1Fatemah Mofarreh2M. Farasat Shamir3Wedad Albalawi4School of Mathematical Sciences, Zhejiang Normal UniversityDepartment of Mathematics, University of Management and TechnologyMathematical Science Department, Faculty of Science Princess Nourah Bint Abdulrahman UniversityNational University of Computer and Emerging SciencesMathematical Science Department, Faculty of Science Princess Nourah Bint Abdulrahman UniversityAbstract This study extends the concept of cracking to self-gravitating, spherically symmetric compact objects in modified $$f(R, \varphi )$$ f ( R , φ ) theory of gravity, where R represents the Ricci scalar, and $$\varphi $$ φ is the scalar potential. In this regard, we consider spherically symmetric spacetime characterized with an anisotropic matter to detect the instabilities of self-gravitating compact objects via cracking and overturning. Further, we construct the general framework to observe the cracking and overturning points by applying the local density perturbation technique to the configuration governed by barotropic equation of state. The effectiveness of this approach is assessed by analyzing its results on the data of Her X-1, SAX J1808.4-3658, and 4U 1820-30 respectively. It is concluded that cracking points appear in the different interior regions of these three stars. Significantly, this study illustrates the effectiveness of the cracking approach by highlighting the regions sensitive to localized density disruptions, offering valuable insights into the structural behavior of compact stars within a modified gravity framework.https://doi.org/10.1140/epjc/s10052-025-13868-w
spellingShingle Adnan Malik
Attiya Shafaq
Fatemah Mofarreh
M. Farasat Shamir
Wedad Albalawi
Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity
European Physical Journal C: Particles and Fields
title Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity
title_full Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity
title_fullStr Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity
title_full_unstemmed Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity
title_short Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ f ( R , φ ) gravity
title_sort overturning and cracking of stellar objects in modified f r varphi f r φ gravity
url https://doi.org/10.1140/epjc/s10052-025-13868-w
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AT fatemahmofarreh overturningandcrackingofstellarobjectsinmodifiedfrvarphifrphgravity
AT mfarasatshamir overturningandcrackingofstellarobjectsinmodifiedfrvarphifrphgravity
AT wedadalbalawi overturningandcrackingofstellarobjectsinmodifiedfrvarphifrphgravity