Lie symmetries in higher dimensional charged radiating stars
This study investigates the Lie symmetry properties of matter variables, spacetime dimension, and kinematic quantities in spherically symmetric radiating stars undergoing gravitational collapse in higher dimensional spacetimes. Our analysis explores how variations in functions and dependent variable...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-10-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024148992 |
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| author | Noeleen Naidoo Sunil D. Maharaj Keshlan S. Govinder |
| author_facet | Noeleen Naidoo Sunil D. Maharaj Keshlan S. Govinder |
| author_sort | Noeleen Naidoo |
| collection | DOAJ |
| description | This study investigates the Lie symmetry properties of matter variables, spacetime dimension, and kinematic quantities in spherically symmetric radiating stars undergoing gravitational collapse in higher dimensional spacetimes. Our analysis explores how variations in functions and dependent variables influence the Lie algebra dimensionality and Lie symmetries of the boundary condition. Our study reveals the explicit dependence of charge and spacetime dimension in the Lie symmetry generators for the first time. We examine models with various kinematical features, such as shear, shear-free, geodesic, and non-expanding conditions with different matter variables. Using the Lie symmetries we obtain group invariant solutions to the models and observe how the kinematical features and matter variables affect the Lie symmetries. Additionally, we demonstrate the appearance of a linear equation of state. We recover known four-dimensional models from our results. |
| format | Article |
| id | doaj-art-0a184341638c4695b2620b93c44ef209 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-0a184341638c4695b2620b93c44ef2092024-11-12T05:19:21ZengElsevierHeliyon2405-84402024-10-011020e38868Lie symmetries in higher dimensional charged radiating starsNoeleen Naidoo0Sunil D. Maharaj1Keshlan S. Govinder2Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu–Natal, Private Bag X54001, Durban 4000, South AfricaCorresponding author.; Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu–Natal, Private Bag X54001, Durban 4000, South AfricaAstrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu–Natal, Private Bag X54001, Durban 4000, South AfricaThis study investigates the Lie symmetry properties of matter variables, spacetime dimension, and kinematic quantities in spherically symmetric radiating stars undergoing gravitational collapse in higher dimensional spacetimes. Our analysis explores how variations in functions and dependent variables influence the Lie algebra dimensionality and Lie symmetries of the boundary condition. Our study reveals the explicit dependence of charge and spacetime dimension in the Lie symmetry generators for the first time. We examine models with various kinematical features, such as shear, shear-free, geodesic, and non-expanding conditions with different matter variables. Using the Lie symmetries we obtain group invariant solutions to the models and observe how the kinematical features and matter variables affect the Lie symmetries. Additionally, we demonstrate the appearance of a linear equation of state. We recover known four-dimensional models from our results.http://www.sciencedirect.com/science/article/pii/S2405844024148992Higher dimensionsCharged radiating starsLie symmetries |
| spellingShingle | Noeleen Naidoo Sunil D. Maharaj Keshlan S. Govinder Lie symmetries in higher dimensional charged radiating stars Heliyon Higher dimensions Charged radiating stars Lie symmetries |
| title | Lie symmetries in higher dimensional charged radiating stars |
| title_full | Lie symmetries in higher dimensional charged radiating stars |
| title_fullStr | Lie symmetries in higher dimensional charged radiating stars |
| title_full_unstemmed | Lie symmetries in higher dimensional charged radiating stars |
| title_short | Lie symmetries in higher dimensional charged radiating stars |
| title_sort | lie symmetries in higher dimensional charged radiating stars |
| topic | Higher dimensions Charged radiating stars Lie symmetries |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024148992 |
| work_keys_str_mv | AT noeleennaidoo liesymmetriesinhigherdimensionalchargedradiatingstars AT sunildmaharaj liesymmetriesinhigherdimensionalchargedradiatingstars AT keshlansgovinder liesymmetriesinhigherdimensionalchargedradiatingstars |