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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1434-6052 |