Interior Reissner-Nordstroem metric and the scalar wave equation

Journal Article · Mon Nov 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.2564· OSTI ID:6575484

Zamorano, N

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.

• Research Organization: Departamento de Fisica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, Santiago, Chile
• OSTI ID: 6575484
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
645400 -- High Energy Physics-- Field Theory
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CHARGE DENSITY
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
KERR METRIC
KLEIN-GORDON EQUATION
MATHEMATICS
METRICS
NUMERICAL ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
WAVE EQUATIONS