skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
;  [1]
  1. Seattle Pacific Univ., WA (USA)
Publication Date:
OSTI Identifier:
6473024
Resource Type:
Journal Article
Journal Name:
General Relativity and Gravitation; (USA)
Additional Journal Information:
Journal Volume: 22:1; Journal ID: ISSN 0001-7701
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATIONAL RADIATION; ANGULAR MOMENTUM; GRAVITONS; SPIN; CLASSICAL MECHANICS; GRAVITATIONAL FIELDS; KALUZA-KLEIN THEORY; MATRICES; RELATIVITY THEORY; WAVE EQUATIONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; FIELD THEORIES; GENERAL RELATIVITY THEORY; MASSLESS PARTICLES; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; POSTULATED PARTICLES; RADIATIONS; UNIFIED-FIELD THEORIES; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation

Citation Formats

Crichton, J H, and Medina, T J. Spin matrices for gravitons and the Humblet decomposition of the angular momentum of gravitational radiation in the linearized theory. United States: N. p., 1990. Web.
Crichton, J H, & Medina, T J. Spin matrices for gravitons and the Humblet decomposition of the angular momentum of gravitational radiation in the linearized theory. United States.
Crichton, J H, and Medina, T J. 1990. "Spin matrices for gravitons and the Humblet decomposition of the angular momentum of gravitational radiation in the linearized theory". United States.
@article{osti_6473024,
title = {Spin matrices for gravitons and the Humblet decomposition of the angular momentum of gravitational radiation in the linearized theory},
author = {Crichton, J H and Medina, T J},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/6473024}, journal = {General Relativity and Gravitation; (USA)},
issn = {0001-7701},
number = ,
volume = 22:1,
place = {United States},
year = {1990},
month = {1}
}