English

Quantized rotating Taub-bolt instantons

High Energy Physics - Theory 2014-10-21 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We argue that previously suggested metrics for rotating Taub-bolt instantons do not satisfy all the necessary regularity conditions, and we present a family of new regular rotating Taub-bolts labelled by an odd integer kk. There are two types of rotating bolt solutions. The first infinite sequence starts with non-rotating Taub-NUT with positive mass Mk=NM_k=N for a=0a=0 and goes to (k2)N(k-2)N for a|a|\to \infty (or NN for k=1k=1), where aa is the rotation parameter. For the second sequence of rotating Page bolts, the masses MkM_k go through the value Mk=5N/4M_k=5N/4 for a=0a=0 and asymptote to (k+2)N(k+2)N for a|a|\to \infty.

Cite

@article{arxiv.1407.3587,
  title  = {Quantized rotating Taub-bolt instantons},
  author = {Gérard Clément and Dmitri Gal'tsov},
  journal= {arXiv preprint arXiv:1407.3587},
  year   = {2014}
}

Comments

The paper has been withdrawn by the authors since the solutions obtained were found not to be completely regular either

R2 v1 2026-06-22T05:03:15.204Z