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Exhaustive Ghost Solutions to Einstein-Weyl Equations for Two Dimensional Spacetimes

Muxin Han·Yapeng Hu·Hongbao Zhang
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Abstract

Exhaustive ghost solutions to Einstein-Weyl equations for two dimensional spacetimes are obtained, where the ghost neutrinos propagate in the background spacetime, but do not influence the background spacetime due to the vanishing stress-energy-momentum tensor for the ghost neutrinos. Especially, those non-trivial ghost solutions provide a counterexample to the traditional claim that the Einstein-Hilbert action has no meaningful two dimensional analogue.

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Muxin Han, Yapeng Hu, Hongbao Zhang. 2004-09-11. Exhaustive Ghost Solutions to Einstein-Weyl Equations for Two Dimensional Spacetimes. https://arxiv.org/abs/gr-qc/0409019

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