Schwarzschild interior solution and the truncated Maxwell fish-eye
H A Buchdahl; H A Buchdahl; Dept. of Theoretical Phys., Faculty of Sci., Australian Nat. Univ., Canberra, ACT, Australia
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1983-01-11
Аннотация:
The note is based on the observation that the geometric optical behaviour of an object S described by the Schwarzschild interior solution is formally exactly that of the Maxwell fish-eye, truncated at some finite radius. Since the explicit point characteristic of the fish-eye and the character and disposition of rays within it may be obtained without having to solve any ray equations, the imagery of S is fully known. Of particular interest are the conditions under which a point source I in S has a real image I' in S, granted that one considers such an image to exist if at least some rays from I mutually intersect in I'.
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