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arXiv · 1208.0216

Asymptotically shearfree congruences in (2,2) spacetimes and Burgers' equation

Jonathan Holland·George Sparling
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Abstract

The paper proves that any asymptotically shearfree congruence at the conformal infinity (scri) in a (2,2)-signature spacetime is determined locally by a solution to the pair of forced inviscid Burgers' equations L_u+LL_x=σ(u,x,y,L) and M_u+MM_y=σ'(u,x,y,M) where u,x,y are Bondi coordinates of scri. The functions σ and σ' are determined naturally by the projective structure on the α and β surfaces that foliate scri.

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Jonathan Holland, George Sparling. 2012-08-01. Asymptotically shearfree congruences in (2,2) spacetimes and Burgers' equation. https://arxiv.org/abs/1208.0216

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