Angular Momentum in General Relativity

Details Angular Momentum in General Relativity Angular Momentum in General Relativity

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phdt........11r&link_type=abstract

Thesis (PHD). PRINCETON UNIVERSITY , Source DAI-B 58/05, p. 2470, Nov 1997, 70 pages.

Physics

3

Null Infinity

Scientific paper

Although some progress has been made in generalizing the concept of angular momentum to general relativity, until now, no satisfactory definition of angular momentum at null infinity has been given. I here give the first such definition. The definition applies to strongly asymptotically flat space-times. The angular momentum is given only in terms of physically measurable quantities. Further, the time rate of change of the angular momentum is given solely in terms of parameters measurable directly by a Michelson interferometer gravitational wave detector such as LIGO or LISA. I prove the uniqueness of the definition and give a minimum range of its validity. There is reason to believe that there is no physical restriction on the definition. I also give the physical interpretation of the preferred frames at null infinity that arise naturally in the process of finding the unambiguous expression for the angular momentum.

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