Journal
AMERICAN JOURNAL OF PHYSICS
Volume 71, Issue 10, Pages 1037-1042Publisher
AMER ASSOC PHYSICS TEACHERS AMER INST PHYSICS
DOI: 10.1119/1.1566426
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We introduce an exactly solvable example of timelike geodesic motion and geodesic deviation in the background geometry of a well-known two-dimensional black hole, spacetime. The effective potential for geodesic motion turns out to be either a harmonic oscillator or an inverted harmonic oscillator or a linear function of the spatial variable corresponding to the three different domains of a constant of the motion. The geodesic deviation equation also is exactly solvable. The corresponding deviation vector is obtained and the nature of the deviation is briefly discussed by highlighting a specific case. (C) 2003 American Association of Physics Teachers.
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