Ricci flows, wormholes and critical phenomena

Details Ricci flows, wormholes and critical phenomena Ricci flows, wormholes and critical phenomena

2008-08-06

arxiv.org/abs/0808.0880v2

Class.Quant.Grav.25:222002,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 5 figures. References added and minor changes to match version accepted by CQG as a fast track communication

Scientific paper

10.1088/0264-9381/25/22/222002

We study the evolution of wormhole geometries under Ricci flow using numerical methods. Depending on values of initial data parameters, wormhole throats either pinch off or evolve to a monotonically growing state. The transition between these two behaviors exhibits a from of critical phenomena reminiscent of that observed in gravitational collapse. Similar results are obtained for initial data that describe space bubbles attached to asymptotically flat regions. Our numerical methods are applicable to "matter-coupled" Ricci flows derived from conformal invariance in string theory.

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