Topology change in classical and quantum gravity - INSPIRE

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Topology change in classical and quantum gravity

Gary T. Horowitz
(
- UC, Santa Barbara
)

Nov 19, 1990

20 pages

Published in:

Class.Quant.Grav. 8 (1991) 587-602

DOI:

10.1088/0264-9381/8/4/007

Report number:

UCSBTH-90-51

reference search173 citations

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Abstract: (IOP)

In a first-order formulation, the equations of general relativity remain well defined even in the limit that the metric becomes degenerate. It is shown that there exist smooth solutions to these equations on manifolds in which the topology of space changes. The metric becomes degenerate on a set of measure zero, but the curvature remains bounded. Thus if degenerate metrics play any role in quantum gravity, topology change is unavoidable.

general relativity
quantum gravity
path integral
topology
Einstein equation: solution
boundary condition
invariance: gauge
cosmological constant
energy: density

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Figures(0)

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