English

Comment on "Comparison of approaches to classical signature change"

General Relativity and Quantum Cosmology 2016-08-31 v1

Abstract

This is a comment on a reply (gr-qc/9601040) to a comment (gr-qc/9606045) on a paper of Hellaby & Dray (gr-qc/9404001), repeating the identification of an important mistake which is still being denied by the authors: their proposed solutions do not satisfy the Einstein- Klein-Gordon equations at a change of signature. Substitution of the proposed solutions into the Einstein-Klein-Gordon equations in unit normal coordinates yields Dirac delta terms describing source layers at the junction. Hellaby & Dray's criticisms of this straightforward calculation are absurd: it does not involve "imaginary time", it does not involve a "modified form" of the field equations, and it is "purely classical". Moreover, Hellaby & Dray's latest attempt to lose the delta terms is mathematically invalid, involving division by zero and products of distributions, hinging on an identity whose incorrectness may be checked by substitution.

Keywords

Cite

@article{arxiv.gr-qc/9606044,
  title  = {Comment on "Comparison of approaches to classical signature change"},
  author = {Sean A. Hayward},
  journal= {arXiv preprint arXiv:gr-qc/9606044},
  year   = {2016}
}

Comments

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