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MathissonPapapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation
- Source :
- Classical and Quantum Gravity; August 2005, Vol. 22 Issue: 16 p3203-3221, 19p
- Publication Year :
- 2005
-
Abstract
- We present a simple method of deriving the semiclassical equations of motion for a spinning particle in a gravitational field. We investigate the cases of classical, rotating particles, i.e. the so-called poledipole particles, as well as particles with an additional intrinsic spin. We show that, starting with a simple Lagrangian, one can derive equations for the spin evolution and momentum propagation in the framework of metric theories of gravity (general relativity) and in theories based on a RiemannCartan geometry (Poincaré gauge theory), without explicitly referring to matter current densities (spin and stress energy). Our results agree with those derived from the multipole expansion of the current densities by the conventional Papapetrou method and from the WKB analysis for elementary particles.
Details
- Language :
- English
- ISSN :
- 02649381 and 13616382
- Volume :
- 22
- Issue :
- 16
- Database :
- Supplemental Index
- Journal :
- Classical and Quantum Gravity
- Publication Type :
- Periodical
- Accession number :
- ejs7471831