Topology change in quantum gravity and Ricci flows

Abstract

The topology change in quantum gravity is modeled by a Ricci flow. In this approach we offer to consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter $\lambda$ is a microscopical statistical state. The probability of every microscopical state is determined by the parameter $\lambda$. Numerically the Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated.

new references are added

References in corpus (2)

• Topology change in quantum gravity
• Creation/annihilation of wormholes supported by the Sine-Gordon phantom (ghost) field