Abstract
A general technique is described for dealing with the quantum fluctuations between conformally flat space-times. The second part of the paper deals with the Schwarzschild spacetime. It is shown there that this space-time is stable against fluctuations of mass, but transitions between two space-times of different masses can be obtained via conformai fluctuations. Purely conformal fluctuations of the Schwarzschild metric are, however, damped at the event horizon. Similar conclusions are drawn about the Reissner-Nordstrom space-time.
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Padmanabhan, T., Narlikar, J.V. Quantum fluctuations in the conformally flat and the schwarzschild space-times. Gen Relat Gravit 13, 669–679 (1981). https://doi.org/10.1007/BF00759410
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DOI: https://doi.org/10.1007/BF00759410