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- W4383046503 abstract "The Mathisson-Papapetrou-Dixon (MPD) equations describe the motion of spinning test particles. It is well-known that these equations, which couple the Riemann curvature tensor with the antisymmetric spin tensor S, together with the normalization condition for the four-velocity, is a system of eleven equations relating fourteen unknowns. To ``close'' the system, it is necessary to introduce a constraint of the form V_mu S^{mu nu} = 0, usually known as the spin supplementary condition (SSC), where V_mu is a future-oriented reference vector satisfying the normalization condition V_alpha V^alpha = -1. There are several SSCs in the literature. In particular, the Tulzcyjew-Dixon, Mathisson-Pirani, and Ohashi-Kyrian-Semer'ak are the most used by the community. From the physical point of view, choosing a different SSC (a different reference vector $V^mu$) is equivalent to fixing the centroid of the test particle. In this manuscript, we compare different SSCs for spinning test particles moving around a Morris-Thorne traversable wormhole. To do so, we first obtain the orbital frequency and expand it up to third-order in the particle's spin; as expected, the zero-order coincides with the Keplerian frequency, the same in all SSCs; nevertheless, we found that differences appear in the second order of the expansion, similar to the Schwarzschild and Kerr black holes. We also compare the behavior of the innermost stable circular orbit (ISCO). Since each SSC is associated with a different centroid of the test particle, we analyze (separately) the radial and spin corrections for each SSC. We found that the radial corrections improve the convergence, especially between Tulzcyjew-Dixon and Mathisson-Pirani SSCs. In the case of Ohashi-Kyrian-Semer'ak, we found that the spin corrections remove the divergence for the ISCO and extend its existence for higher values of the particle's spin." @default.
- W4383046503 created "2023-07-04" @default.
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- W4383046503 date "2023-06-30" @default.
- W4383046503 modified "2023-09-27" @default.
- W4383046503 title "Comparing spin supplementary conditions for particle motion around traversable wormholes" @default.
- W4383046503 doi "https://doi.org/10.48550/arxiv.2306.17394" @default.
- W4383046503 hasPublicationYear "2023" @default.
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