Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987uscc.rept.....r&link_type=abstract
Final Report, 15 May 1986 - 15 May 1987 Clemson Univ., SC. Dept. of Physics and Astronomy.
Astronomy and Astrophysics
Astrophysics
Gravitation Theory, Spin, Variational Principles, Astrophysics, Cosmology, Electromagnetism, Gravity Probe B, Particle Production
Scientific paper
A self-consistent method of introducing spin into any Lagrangian based theory of gravitation was developed. The metric variation of the Lagrangian in the theory leads to an improved energy-momentum tensor which represents the source term in the gravitational field equations. The goal of the research is the construction of a theory general enough to be used to investigate spin effects in astrophysical objects and cosmology, and also to serve as a basis for discussion of the theoretical ideas tested by the NASA Gyroscope Experiment (aboard Gravity Probe B). Specific accomplishments in the following areas are summarized: the inclusion of electromagnetism into the variational principle for spinning matter, formulation of a self-consistent theory for the case of a fluid in which particle production processes occur, and the derivation of the Raychaudhuri equation in the case of spinning matter.
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