A survey on the Klein–Gordon equation in the Gödel-type space-times

DOI10.1142/S0219887818500378zbMath1383.81092OpenAlexW2765970224MaRDI QIDQ4609861

Hadi Sobhani, Won-Sang Chung, Hassan Hassanabadi

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500378

zbMATH Keywords

Klein-Gordon equationGödel-type spacetimesrelativistic free bosons

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (3)

Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation ⋮ Investigation of a spin-0 massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time ⋮ Quantum effects on spin-0 massive charged particles with Coulomb-type potentials in (1+2)-dimensions Gürses space-time

Cites Work

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• Gödel-type space-time metrics
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• Bound state solutions of the Klein-Gordon equation with the improved expression of the Manning-Rosen potential energy model
• Bound states of the Klein-Gordon equation with vector and scalar Rosen-Morse-type potentials
• Homogeneity of Riemannian space-times of Gödel type
• Notes on a class of homogeneous space-times
• The equivalence problem in torsion theories of gravitation
• Torsion and electron motion in quantum dots with crystal lattice dislocations
• Riemann - Cartan spacetimes of Gödel type
• Dynamics and stability of the Gödel universe
• Closed timelike curves and geodesics of Gödel-type metrics

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