Non-static spinning fluid model in Einstein–Cartan theory of gravitation
Abstract By harnessing the power of differential forms, especially suited for a non-Riemannian space-time of Einstein–Cartan theory, we have successfully solved the field equations for a Weyssenhoff fluid-a fascinating source of gravitation and spin. Our innovative approach is based on a simple yet...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13967-8 |
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| author | L. N. Katkar D. R. Phadatare |
| author_facet | L. N. Katkar D. R. Phadatare |
| author_sort | L. N. Katkar |
| collection | DOAJ |
| description | Abstract By harnessing the power of differential forms, especially suited for a non-Riemannian space-time of Einstein–Cartan theory, we have successfully solved the field equations for a Weyssenhoff fluid-a fascinating source of gravitation and spin. Our innovative approach is based on a simple yet elegant equation of state, with two distinct cases: (i) $$\rho $$ ρ = p, and (ii) $$\rho = 3p$$ ρ = 3 p , and an exponential relationship $$e^{\mu } = e^{n\nu }$$ e μ = e n ν . We explore the fascinating physical and geometrical properties of these ground-breaking solutions, uncovering new insights into the mysteries of gravitation and the behavior of matter under extreme conditions. |
| format | Article |
| id | doaj-art-afa99ff5220a45769e16dbe98893bbbe |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-afa99ff5220a45769e16dbe98893bbbe2025-08-20T01:57:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-03-0185311310.1140/epjc/s10052-025-13967-8Non-static spinning fluid model in Einstein–Cartan theory of gravitationL. N. Katkar0D. R. Phadatare1Department of Mathematics, Shivaji UniversityDepartment of Mathematics, Shivaji UniversityAbstract By harnessing the power of differential forms, especially suited for a non-Riemannian space-time of Einstein–Cartan theory, we have successfully solved the field equations for a Weyssenhoff fluid-a fascinating source of gravitation and spin. Our innovative approach is based on a simple yet elegant equation of state, with two distinct cases: (i) $$\rho $$ ρ = p, and (ii) $$\rho = 3p$$ ρ = 3 p , and an exponential relationship $$e^{\mu } = e^{n\nu }$$ e μ = e n ν . We explore the fascinating physical and geometrical properties of these ground-breaking solutions, uncovering new insights into the mysteries of gravitation and the behavior of matter under extreme conditions.https://doi.org/10.1140/epjc/s10052-025-13967-8 |
| spellingShingle | L. N. Katkar D. R. Phadatare Non-static spinning fluid model in Einstein–Cartan theory of gravitation European Physical Journal C: Particles and Fields |
| title | Non-static spinning fluid model in Einstein–Cartan theory of gravitation |
| title_full | Non-static spinning fluid model in Einstein–Cartan theory of gravitation |
| title_fullStr | Non-static spinning fluid model in Einstein–Cartan theory of gravitation |
| title_full_unstemmed | Non-static spinning fluid model in Einstein–Cartan theory of gravitation |
| title_short | Non-static spinning fluid model in Einstein–Cartan theory of gravitation |
| title_sort | non static spinning fluid model in einstein cartan theory of gravitation |
| url | https://doi.org/10.1140/epjc/s10052-025-13967-8 |
| work_keys_str_mv | AT lnkatkar nonstaticspinningfluidmodelineinsteincartantheoryofgravitation AT drphadatare nonstaticspinningfluidmodelineinsteincartantheoryofgravitation |