Precession of angular momentum vector in a slowly rotating Kerr metric
type: Item
instance of: scholarly article
title: Precession of angular momentum vector in a slowly rotating Kerr metric
zbMATH Open document ID: 0581.53049
DOI: 10.1007/BF00765887
author: Abbas M. Faridi
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: Specializing Penrose and Floyd's result \(F_{ab;c}=F_{[ab;c]}\) to the Kerr metric, we explicitly construct the skew symmetric tensor \(F_{ab}\) 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, \(F_{ab}\) can be decomposed additively into \(L_{ab}\) and \(M_{ab}\), where \(L_{ab}\) has the character of angular momentum, and \(M_{ab}\) exists only for a nonzero rotation parameter, a, of the Kerr metric. It turns out that the equation of precession \(\dot L_ a=\phi^ b_ a L_ b\) 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 vector \(L_ a=L^ b_ a P_ b\). The equation of precession is solved, and a vector \(\Omega^ a\) describing angular velocity of precession is derived.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C10
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 3929898
zbMATH Keywords: Kerr metric
zbMATH Keywords: geodesic motion
zbMATH Keywords: angular momentum
zbMATH Keywords: equation of precession
MaRDI profile type: Publication
cites work: Q3260070
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description: scientific article; zbMATH DE number 3929898