Null Strings in Schwarzschild Spacetime

Details Null Strings in Schwarzschild Spacetime Null Strings in Schwarzschild Spacetime

1996-10-31

arxiv.org/abs/hep-th/9610243v1

Phys.Rev. D55 (1997) 6409-6414

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, REVTEX, no figures

Scientific paper

10.1103/PhysRevD.55.6409

The null string equations of motion and constraints in the Schwarzschild spacetime are given. The solutions are those of the null geodesics of General Relativity appended by a null string constraint in which the "constants of motion" depend on the world-sheet spatial coordinate. Because of the extended nature of a string, the physical interpretation of the solutions is completely different from the point particle case. In particular, a null string is generally not propagating in a plane through the origin, although each of its individual points is. Some special solutions are obtained and their physical interpretation is given. Especially, the solution for a null string with a constant radial coordinate $r$ moving vertically from the south pole to the north pole around the photon sphere, is presented. A general discussion of classical null/tensile strings as compared to massless/massive particles is given. For instance, tensile circular solutions with a constant radial coordinate $r$ do not exist at all. The results are discussed in relation to the previous literature on the subject.

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