Non-static spinning fluid model in Einstein–Cartan theory of gravitation

L. N. Katkar; D. R. Phadatare

doi:10.1140/epjc/s10052-025-13967-8

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 237
https://doi.org/10.1140/epjc/s10052-025-13967-8

Regular Article - Theoretical Physics

Non-static spinning fluid model in Einstein–Cartan theory of gravitation

L. N. Katkar¹^,2 and D. R. Phadatare¹^,2^a

¹ Department of Mathematics, Shivaji University, 416004, Kolhapur, Maharashtra, India
² Department of Mathematics, Balasaheb Desai College, 415206, Patan, Maharashtra, India

^a phadatared@yahoo.com

Received: 7 November 2024
Accepted: 18 February 2025
Published online: 7 March 2025

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) $ρ$ $\rho$ = p, and (ii) $ρ = 3 p$ $\rho = 3p$ , and an exponential relationship $e^{μ} = e^{n ν}$ $e^{\mu } = e^{n\nu }$ . 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.

The corresponding author and co-author have contributed equally.

© The Author(s) 2025

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