Schwarzschild Quantum Fluctuations from Regge-Wheeler Scattering

Abstract

We apply a multichannel variable phase method to scattering from Regge-Wheeler potentials. Using a reduced version of the WKB subtraction developed by Candelas and Howard, this approach allows for efficient numerical calculations of scattering data for imaginary wave number, making it possible to compute quantum expectation values in a Schwarzschild curved spacetime background through Wick rotation to the imaginary frequency axis. These scattering theory techniques are also potentially applicable to a variety of other problems involving wave propagation in curved spacetime.

arXiv comment12 pages, 4 .eps figures; v2: fixed typos, added example calculation; v3: fixed typo (correct sign in Eq. A7); v4: fixed typo (missing factor in Eq. 28), added clarification of techniques for numerical calculation

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