Is the Taub-NUT Metric a Gravitational Instanton ?
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چکیده
Hawking has suggested that the Taub-NTIT metric might give rise to the gravitational analog of the Yang-"fills pseudoparticle or instanton. We extend Hawking's treatment by using the Atiyah-Patodi-Singer index theorem for manifolds with boundaries and reach somewhat different conclusions regarding the nature of the bound states of the Dirac equation. In particular, the Taub-VTT metric does not seem to be a suitable candidate for a gravitational instanton.
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تاریخ انتشار 1999