Ricci flows connecting Taub Bolt and Taub NUT metrics

Details Ricci flows connecting Taub Bolt and Taub NUT metrics Ricci flows connecting Taub Bolt and Taub NUT metrics

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cqgra..24.6201h&link_type=abstract

Classical and Quantum Gravity, Volume 24, Issue 24, pp. 6201-6217 (2007).

Physics

5

Scientific paper

We use the Ricci flow with surgery to study four-dimensional SU(2) × U(1)-symmetric metrics on a manifold with fixed boundary given by a squashed 3-sphere. Depending on the initial metric we show that the flow converges to either the Taub Bolt or the Taub NUT metric, the latter case potentially requiring surgery at some point in the evolution. The Ricci flow allows us to explore the Euclidean action landscape within this symmetry class. This work extends the recent work of Headrick and Wiseman (2006 Class. Quantum Grav. 23 6683) to more interesting topologies.

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