Einstein Equations in the Null Quasi - spherical Gauge

نویسنده

  • Robert Bartnik
چکیده

Properties of the Einstein equations in a coordinate gauge based on expanding null hypersurfaces foliated by metric 2-spheres are described. This null quasi-spherical (NQS) gauge leads to particularly simple analyses of the characteristic structure of the equations and of the propagation of gravitational shocks, and clarifies the geometry of timelike boundary condition. A feature of the NQS gauge is the use of the standard ð (“edth”) operator on S2 to express angular derivatives, and the consequent use of spin-weighted spherical harmonic decompositions of the metric fields. 04.20,04.30 Typeset using REVTEX

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تاریخ انتشار 2008