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arXiv · 1407.3587

Quantized rotating Taub-bolt instantons

Gérard Clément·Dmitri Gal'tsov
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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 $k$. There are two types of rotating bolt solutions. The first infinite sequence starts with non-rotating Taub-NUT with positive mass $M_k=N$ for $a=0$ and goes to $(k-2)N$ for $|a|\to \infty$ (or $N$ for $k=1$), where $a$ is the rotation parameter. For the second sequence of rotating Page bolts, the masses $M_k$ go through the value $M_k=5N/4$ for $a=0$ and asymptote to $(k+2)N$ for $|a|\to \infty$.

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Gérard Clément, Dmitri Gal'tsov. 2014-07-14. Quantized rotating Taub-bolt instantons. https://arxiv.org/abs/1407.3587

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