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- W2007888081 abstract "The vacuum Einstein equations are studied in the coordinate system of Newman-Unti (NU). The metric functions omega and U are explicitly obtained in terms of rho , sigma , A, B, P, psi where A, B are related to xi k as delta = omega D+P(A Del +B Del ), P, Del are the same as in NU, and psi = Psi 01+ sigma 0 omega 0. The remaining equations are: (i) D rho = rho 2+ sigma sigma ; (ii) D A= rho A+ sigma B, DB= rho B+ sigma A; (iii) an integro-differential equation; and (iv) two non-radial equations. It is shown that the non-radial equations need to be solved only on the initial hypersurface. The explicit form of (iii) is given for the cases D( sigma / sigma )=0 and the non-radial equations implied by this are obtained for Psi 0=-3 sigma 2 sigma / rho ." @default.
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- W2007888081 date "1991-04-01" @default.
- W2007888081 modified "2023-09-23" @default.
- W2007888081 title "Integration of the radial Newman-Penrose equations in terms of rho , sigma and xi k" @default.
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- W2007888081 doi "https://doi.org/10.1088/0264-9381/8/4/015" @default.
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