Bertrand spacetimes as Kepler/oscillator potentials

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Bertrand spacetimes as Kepler / oscillator potentials

Perlick’s classification of (3 + 1)-dimensional spherically symmetric and static spacetimes (M, η = − 1 V dt + g) for which the classical Bertrand theorem holds [Perlick V 1992 Class. Quantum Grav. 9 1009] is revisited. For any Bertrand spacetime (M, η) the term V (r) is proven to be either the intrinsic Kepler– Coulomb or the harmonic oscillator potential on its associated Riemannian 3manifold...

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ژورنال

عنوان ژورنال: Classical and Quantum Gravity

سال: 2008

ISSN: 0264-9381,1361-6382

DOI: 10.1088/0264-9381/25/16/165005