Conservation laws and covariant equations of motion for spinning particles
Yuri N. Obukhov, Dirk Puetzfeld
TL;DR
This paper derives conservation laws and covariant equations of motion for spinning particles in gravitational models, accounting for both minimal and nonminimal coupling, enhancing understanding of particle dynamics in curved spacetime.
Contribution
It introduces a unified framework for deriving conservation laws and equations of motion for spinning particles with arbitrary matter-gravity interactions.
Findings
Derived Noether identities for gravitational models.
Constructed covariant equations of motion for spinning particles.
Addressed both minimal and nonminimal coupling scenarios.
Abstract
We derive the Noether identities and the conservation laws for general gravitational models with arbitrarily interacting matter and gravitational fields. These conservation laws are used for the construction of the covariant equations of motion for test bodies with minimal and nonminimal coupling.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Geophysics and Gravity Measurements