Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.124044· OSTI ID:21408094

Kagramanova, Valeria; Kunz, Jutta ^[1]; Hackmann, Eva ^[2]; Laemmerzahl, Claus ^[2]

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1. Institut fuer Physik, Universitaet Oldenburg, D-26111 Oldenburg (Germany)
2. ZARM, Universitaet Bremen, Am Fallturm, D-28359 Bremen (Germany)

We present the complete set of analytical solutions of the geodesic equation in Taub-NUT space-times in terms of the Weierstrass elliptic functions. We systematically study the underlying polynomials and characterize the motion of test particles by its zeros. Since the presence of the 'Misner string' in the Taub-NUT metric has led to different interpretations, we consider these in terms of the geodesics of the space-time. In particular, we address the geodesic incompleteness at the horizons discussed by Misner and Taub [C. W. Misner and A. H. Taub, Sov. Phys. JETP 28, 122 (1969) [Zh. Eksp. Teor. Fiz. 55, 233 (1968)]], and the analytic extension of Miller, Kruskal and Godfrey [J. G. Miller, M. D. Kruskal, and B. Godfrey, Phys. Rev. D 4, 2945 (1971)], and compare with the Reissner-Nordstroem space-time.

• OSTI ID: 21408094
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ANALYTICAL SOLUTION
COMPARATIVE EVALUATIONS
EQUATIONS
EVALUATION
FUNCTIONS
GEODESICS
MATHEMATICAL SOLUTIONS
METRICS
POLYNOMIALS
SIMULATION
SPACE-TIME