Topology change in classical and quantum gravity

2011/10/04 by Gibbons, G. W. · 3 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1110.0611

Abstract

In these two lectures I describe the difficulties one encounters when trying to construct a framework in which to describe topology change in classical general relativity where one sticks to the assumption of an everywhere non-singular Lorentzian metric and how these difficulties can be circumvented in the Euclidean approach to quantum gravity.

Cited by

• Matter-free gravitational collapse and the equivalence principle
• A rigid spherical shell enclosing a degenerate wormhole
• Energy conditions in static, spherically symmetric spacetimes and effective geometries

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• Topology Change in General Relativity
• Topology change in quantum gravity
• Topology Change in Classical General Relativity
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• The role of Topology in the classical geometric theories of gravitation