Spin matrices for gravitons and the Humblet decomposition of the angular momentum of gravitational radiation in the linearized theory

Journal Article · Mon Jan 01 04:00:00 EST 1990 · General Relativity and Gravitation; (USA)

OSTI ID:6473024

Crichton, J H; Medina, T J ^[1]

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1. Seattle Pacific Univ., WA (USA)

The authors develop spin matrices for a classical gravitational field in the linearized theory which satisfy angular-momentum commutation relations and are appropriate for a spin angular momentum of two. The same spin matrices come out of a decomposition of the angular momentum density of the linearized gravitational field into orbital and spin parts, similar to that carried out by Humblet for the electromagnetic field. To achieve this decomposition, they use the momentum density for the gravitational field obtained from the Landau-Lifshitz pseudo-tensor in the weak gravity limit. They not a formal connection between the spin angular momenta of gravitational and electromagnetic fields using the Kaluza-Klein idea.

• OSTI ID: 6473024
• Journal Information: General Relativity and Gravitation; (USA), Journal Name: General Relativity and Gravitation; (USA) Vol. 22:1; ISSN 0001-7701; ISSN GRGVA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
GRAVITATIONAL RADIATION
GRAVITONS
KALUZA-KLEIN THEORY
MASSLESS PARTICLES
MATRICES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
RADIATIONS
RELATIVITY THEORY
SPIN
UNIFIED-FIELD THEORIES
WAVE EQUATIONS