Edmund J. Copeland et al JHEP06(2000)024 doi:10.1088/1126-6708/2000/06/024
Gravitational instantons and internal dimensions
Edmund J. Copeland1, James A. Gray1 and Paul M. Saffin2
Show affiliationsWe study instanton solutions in general relativity with a scalar field. The metric ansatz we use is composed of a particular warp product of general Einstein metrics, such as those found in a number of cosmological settings, including string cosmology, supergravity compactifications and general Kaluza Klein reductions. Using the Hartle-Hawking prescription the instantons we obtain determine whether metrics involving extra compact dimensions of this type are favoured as initial conditions for the universe. Specifically, we find that these product metric instantons, viewed as constrained instantons, do have a local minima in the action. These minima are then compared with the higher dimensional version of the Hawking-Turok instantons, and we argue that the latter always have lower action than those associated with these product metrics.
- Keywords
- PACS
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04.20.-q Classical general relativity
12.10.-g Unified field theories and models
04.50.-h Higher-dimensional gravity and other theories of gravity
- Subjects
- Dates
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Issue 06 ( 1 June 2000)
Received 4 April 2000, accepted for publication 15 June 2000
Published 10 July 2000
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Gravitational instantons and internal dimensions
Edmund J. Copeland et al JHEP06(2000)024
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