A class of generalised Robinson-Trautman solutions in non-comoving coordinates

Details A class of generalised Robinson-Trautman solutions in non-comoving coordinates A class of generalised Robinson-Trautman solutions in non-comoving coordinates

Oct 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37.1753d&link_type=abstract

General Relativity and Gravitation, Volume 37, Issue 10, pp.1753-1767

Physics

Robinson-Trautman Solution, Non-Comoving Coordinates, Inhomogeneous Space-Time, Black Hole

Scientific paper

A new class of algebraically special solutions is found for Einstein's equations based on the generalised Robinson-Trautman formulation introduced by Wainwright. The solution metrics depend on all four spacetime coordinates t, x, y and r, and in the x, y subspace are either spherically symmetric (parameter K 0 > 0) or spatially flat ( K 0 = 0). The inhomogeneous spacetimes, of Petrov type II, have singularities at t = 0 and r = 0. The source is a stiff perfect fluid that expands with shear and acceleration but without rotation. The dynamical configuration in the era t ˜ 0 depends directly on a function h( x, y) of the metric. Trapped surfaces are found, associated with the singularity r = 0, which is shown to be censored.

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