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Gravitational Collapse and Calogero Model

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arxiv gr-qc/9912115 v1 pith:5JVEE7OB submitted 1999-12-29 gr-qc

Gravitational Collapse and Calogero Model

classification gr-qc
keywords calogerocollapseeuclideangravitationals-matrixwheeler-dewittanalyticconformal
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We study the analytic structure of the S-matrix which is obtained from the reduced Wheeler-DeWitt wave function describing spherically symmetric gravitational collapse of massless scalar fields. The simple poles in the S-matrix occur in the Euclidean spacetime, and the Euclidean Wheeler-DeWitt equation is a variant of the Calogero models, which is discussed in connection with conformal mechanics and a quantum instanton.

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