Interior Reissner-Nordström metric and the scalar wave equation

Details Interior Reissner-Nordström metric and the scalar wave equation Interior Reissner-Nordström metric and the scalar wave equation

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrvd..26.2564z&link_type=abstract

Physical Review D (Particles and Fields), Volume 26, Issue 10, 15 November 1982, pp.2564-2574

Physics

13

Scientific paper

We approximate the effective potential appearing in the radial part of the massless Klein-Gordon equation for the interior of a charged black hole by a second-order polynomial. This approximation allows an analytic treatment of the equation. Further we recover all the relevant properties in the interior region. For the interior normal modes the comparison between the analytical and numerical results yields an excellent agreement when the ratio of charge to mass for the black hole is close to unity. We use two theorems to bound the difference between the exact and approximate eigenvalues. A complementary scheme using both the analytical and numerical methods is proposed to solve related problems in the Kerr metric.

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