Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 51, Issue 8, Pages 2427-2432Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-012-1122-x
Keywords
Godel universe; Integrability; Exact solutions
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In this letter we investigate the separability of the Klein-Gordon and Hamilton-Jacobi equation in Godel universe. We show that the Klein-Gordon eigen modes are quantized and the complete spectrum of the particle's energy is a mixture of an azimuthal quantum number, m and a principal quantum number, n and a continuous wave number k. We also show that the Hamilton-Jacobi equation gives a closed function for classical action. These results may be used to calculate the Casimir vacuum energy in Godel universe.
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