Perfect fluid and test particle with spin and dilatonic charge in a Weyl-Cartan space
O. V. Babourova, B. N. Frolov (Department of Mathematics, Moscow State, Pedagogical University)
TL;DR
This paper derives the equations governing the motion of perfect dilaton-spin fluids and test particles with spin and dilatonic charge in Weyl-Cartan space, highlighting unique features of their dynamics.
Contribution
It introduces generalized hydrodynamic equations and test particle motion equations in Weyl-Cartan geometry, expanding understanding of matter behavior in such spaces.
Findings
Derived Euler-type equation for dilaton-spin fluid
Obtained equations of motion for particles with spin and dilatonic charge
Discussed unique features of particle motion in Weyl-Cartan space
Abstract
The equation of perfect dilaton-spin fluid motion in the form of generalized hydrodynamic Euler-type equation in a Weyl-Cartan space is derived. The equation of motion of a test particle with spin and dilatonic charge in the Weyl-Cartan geometry background is obtained. The peculiarities of test particle motion in a Weyl-Cartan space are discussed.
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