ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A general solution of the geodesic deviation equations in the Schwarzschild space-time is presented. It is found in a rigorous form with the aid of a recently formulated method of integration of the Hamilton–Jacobi type, and is applied to a study of the behavior of a cloud of particles freely falling into the Schwarzschild singularity. Presuming that the cloud of such particles provides one with a measure of strength of the singularity of a field, a similar problem of freely falling particles is also solved in the Newtonian theory. It has turned out that the behavior of the cloud of particles freely falling into the center of attraction is, contrary to what one would rather expect, in each of the two theories exactly the same. A possible reason for obtaining such a result is briefly discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528266
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