Taub Numbers

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Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phdt.........9n&link_type=abstract

Thesis (PH.D.)--UNIVERSITY OF WINDSOR (CANADA), 1993.Source: Dissertation Abstracts International, Volume: 54-09, Section: B, pa

Computer Science

2

Schwarzschild Solution, Kerr Solution, Xanthopoulos Theorem

Scientific paper

Taub numbers are studied as a set of tensorial conservation laws derivable from curves of solutions to the vacuum Einstein equations. A formulation for Taub numbers of all orders is provided as well as a derivation of the Xanthopoulos theorem. Taub numbers are computed for the Schwarzschild and Kerr solutions viewed as perturbations of Minkowski spacetime and the Schwarzschild solution. They are found to give a measure of the mass and angular momentum and are free of the factor of 2 anomaly associated with the Komar numbers. Taub numbers are also computed for the stationary perturbations of the Schwarzschild solution.

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