On the energy spectrum of the Klein-Gordon equation in Schwarzschild and Kerr fields

Details On the energy spectrum of the Klein-Gordon equation in Schwarzschild and Kerr fields On the energy spectrum of the Klein-Gordon equation in Schwarzschild and Kerr fields

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988fiz...31....71g&link_type=abstract

Fizika (ISSN 0021-3411), vol. 31, Oct. 1988, pp.71-76

Physics

General Relativity, Quantum Mechanics, Klein-Gordon Equation, Bound Levels, Energy Spectrum, Quasiclassical Approach, Perihelion Shift, Orbits Plane Precession

Scientific paper

The influence of relativistic gravitational effects and rotation of the central body on the structure of the quasidiscrete spectrum of a spinless particle in the field of a Schwarzschild amd Kerr black hole is examined, up to G^4 terms in the Schwarzschild field and G^5 terms for the Kerr field. The quasiclassical approach is examined also, which gives the exact value for the perihelion shift, prdicted by the classical theory of General Relativity. The same is valid as well for the orbits plane precession in the Kerr field with week rotation. The s-bound state needs a special treatment.

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