English

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

General Relativity and Quantum Cosmology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.gr-qc/0409019,
  title  = {Exhaustive Ghost Solutions to Einstein-Weyl Equations for Two Dimensional Spacetimes},
  author = {Muxin Han and Yapeng Hu and Hongbao Zhang},
  journal= {arXiv preprint arXiv:gr-qc/0409019},
  year   = {2007}
}

Comments

10 pages, errors in Section 1 and typos in Appendix corrected

R2 v1 2026-07-22T12:40:57.752Z