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Conformal scattering on the Schwarzschild metric

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arxiv 1312.1386 v2 pith:VSYQNJEE submitted 2013-12-04 gr-qc math-phmath.APmath.MP

classification gr-qcmath-phmath.APmath.MP
keywords metricscatteringconformalschwarzschildtheoryanalyticassociatedcase
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We show that existing decay results for scalar fields on the Schwarzschild metric are sufficient to obtain a conformal scattering theory. Then we re-interpret this as an analytic scattering theory defined in terms of wave operators, with an explicit comparison dynamics associated with the principal null geodesic congruences. The case of the Kerr metric is also discussed.

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  1. A generalization of the Fredenhagen-Haag derivation of Hawking radiation for a class of Vaidya space-times

    gr-qc 2026-08 conditional novelty 7.0 of 10

    A rigorous finite-window detector-response bound for massless scalar fields on Vaidya spacetimes, comparing the response to a frozen Schwarzschild thermal reference with explicit error terms.

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