Ricci Flows and Topology Change in Quantum Gravity
American Journal of Modern Physics
Volume 2, Issue 3, May 2013, Pages: 132-137
Received: Feb. 10, 2013; Published: May 2, 2013
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Vladimir Dzhunushaliev, Dept. Theor. and Nucl. Phys., Kazakh National University, Almaty, 010008, Kazakhstan; Institute of Physicotechnical Problems and Material Science of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek, 720071,Kyrgyz Republic
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The topology change in quantum gravity is modeled by a Ricci flow. In this approach we consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter is a microscopical statistical state. The probability of every microscopical state is determined by this parameter. The Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated numerically.
Ricci Flow, Topology Change, Statistical System, Wormhole
To cite this article
Vladimir Dzhunushaliev, Ricci Flows and Topology Change in Quantum Gravity, American Journal of Modern Physics. Vol. 2, No. 3, 2013, pp. 132-137. doi: 10.11648/j.ajmp.20130203.16
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