Three dimensional near-horizon metrics that are Einstein-Weyl

2017/04/21 by Randall, Matthew
#53B15 #53B30 (primary) #83C57 (secondary) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.1704.06433

Abstract

We investigate which three dimensional near-horizon metrics g_NH admit a compatible 1-form X such that (X, [g_NH]) defines an Einstein-Weyl structure. We find explicit examples and see that some of the solutions give rise to Einstein-Weyl structures of dispersionless KP type and dispersionless Hirota (aka hyperCR) type.

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