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Null strings in Schwarzschild spacetime

Mariusz P. Da̧browski

Arne L. Larsen

  • Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland

  • Department of Physics, University of Alberta, Faculty of Science, 412 Avadh Bhatia, Physics Laboratory, Edmonton, Canada T6G 2J1

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Phys. Rev. D 55, 6409 – Published 15 May, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.6409

Abstract

The null string equations of motion and constraints in 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 or tensile strings as compared to massless or 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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Outline

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Phys. Rev. D 55, 6409– Published 15 May, 1997
  • Received 30 October 1996

© 1997 American Physical Society

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