Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole
Abstract We investigate the dynamics of test particles around a spherically symmetric, non-rotating, hairy regular black hole, examining how the model parameters affect particle motion. The black hole is characterized by two parameters, the mass $$M$$ M and a hairy parameter $$\alpha $$ α . Using th...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14280-0 |
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| author | Asifa Ashraf Allah Ditta Tayyab Naseer S. K. Maurya Saibal Ray Phongpichit Channuie Farruh Atamurotov |
| author_facet | Asifa Ashraf Allah Ditta Tayyab Naseer S. K. Maurya Saibal Ray Phongpichit Channuie Farruh Atamurotov |
| author_sort | Asifa Ashraf |
| collection | DOAJ |
| description | Abstract We investigate the dynamics of test particles around a spherically symmetric, non-rotating, hairy regular black hole, examining how the model parameters affect particle motion. The black hole is characterized by two parameters, the mass $$M$$ M and a hairy parameter $$\alpha $$ α . Using the effective potential, we examine the stability of circular orbits. We derive analytical expressions for the energy and angular momentum of test particles as a function of the black hole parameters. The effective forces acting on particles and the innermost stable circular orbits are also examined. Additionally, we numerically integrate the equations of motion to examine particle trajectories and further investigate their motion. Epicyclic oscillations of test particles close to the equatorial plane are explored, and analytical expressions for radial, vertical, and orbital frequencies are derived as functions of the black hole parameters. We also examine the frequency of periastron precession of the particles. We compare the motion of test particles around a hairy regular black hole with the particle motion around a classical non-rotating Schwarzschild black hole. Further, we discuss thermally fluctuating phenomena by using the Tsallis entropy and the energy emission process. Our findings show that the black hole model’s parameters significantly impact particle motion and thermal features. |
| format | Article |
| id | doaj-art-928db03ef9464c2d97af33bb31c80499 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-928db03ef9464c2d97af33bb31c804992025-08-20T03:45:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185611810.1140/epjc/s10052-025-14280-0Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black holeAsifa Ashraf0Allah Ditta1Tayyab Naseer2S. K. Maurya3Saibal Ray4Phongpichit Channuie5Farruh Atamurotov6School of Mathematical Sciences, Zhejiang Normal UniversityDepartment of Mathematics, School of Science, University of Management and TechnologyDepartment of Mathematics and Statistics, The University of LahoreResearch Center of Astrophysics and Cosmology, Khazar UniversityCentre for Cosmology, Astrophysics and Space Science (CCASS), GLA UniversitySchool of Science, Walailak UniversityNew Uzbekistan UniversityAbstract We investigate the dynamics of test particles around a spherically symmetric, non-rotating, hairy regular black hole, examining how the model parameters affect particle motion. The black hole is characterized by two parameters, the mass $$M$$ M and a hairy parameter $$\alpha $$ α . Using the effective potential, we examine the stability of circular orbits. We derive analytical expressions for the energy and angular momentum of test particles as a function of the black hole parameters. The effective forces acting on particles and the innermost stable circular orbits are also examined. Additionally, we numerically integrate the equations of motion to examine particle trajectories and further investigate their motion. Epicyclic oscillations of test particles close to the equatorial plane are explored, and analytical expressions for radial, vertical, and orbital frequencies are derived as functions of the black hole parameters. We also examine the frequency of periastron precession of the particles. We compare the motion of test particles around a hairy regular black hole with the particle motion around a classical non-rotating Schwarzschild black hole. Further, we discuss thermally fluctuating phenomena by using the Tsallis entropy and the energy emission process. Our findings show that the black hole model’s parameters significantly impact particle motion and thermal features.https://doi.org/10.1140/epjc/s10052-025-14280-0 |
| spellingShingle | Asifa Ashraf Allah Ditta Tayyab Naseer S. K. Maurya Saibal Ray Phongpichit Channuie Farruh Atamurotov Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole European Physical Journal C: Particles and Fields |
| title | Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole |
| title_full | Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole |
| title_fullStr | Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole |
| title_full_unstemmed | Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole |
| title_short | Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole |
| title_sort | testing of qpos particle dynamics emission energy and thermal fluctuation around a regular hairy black hole |
| url | https://doi.org/10.1140/epjc/s10052-025-14280-0 |
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