Precession of angular momentum vector in a slowly rotating Kerr metric

Details Precession of angular momentum vector in a slowly rotating Kerr metric Precession of angular momentum vector in a slowly rotating Kerr metric

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..271f&link_type=abstract

General Relativity and Gravitation, Volume 18, Issue 3, pp.271-286

Computer Science

4

Scientific paper

Specializing Penrose and Floyd's resultF ab;c =F [ab;c] to the Kerr metric, we explicitly construct the skew symmetric tensorF ab and Carter's quadratic integral of geodesic motion.F ab is then shown to be closely related to the orbital angular momentum encountered in Newtonian mechanics. Furthermore, Fab can be decomposed additively intoL ab andM ab , whereL ab has the character of angular momentum, andM ab exists only for a nonzero rotation parameter,a, of the Kerr metric. It turns out that the equation of precessiondot L_a=φ {/a b } L b has a nontrivial solution only for the case of a slowly rotating Kerr metric valid to first order in rotation parameter. In this case, Carter's integral can be interpreted as the squared length of the precessing angular momentum vectorL a =L {/a b } P b . The equation of precession is solved, and a vector Ωa describing angular velocity of precession is derived.

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