THICKENING THE STRING. I. THE STRING PERFECT DUST

1980
11 pages
Published in:
  • Phys.Rev.D 21 (1980) 2171-2181

Citations per year

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Abstract: (APS)
The classical theory of the geometrical string is developed as the theory of a simple, surface-forming timelike bivector field in an arbitrary background space-time. The stress-energy tensor for a perfect dust of such strings is written down, and the conservation laws for such a dust, as well as the equations of motion of the string, are derived from the vanishing of the divergence of the stress-energy tensor. (The boundary conditions for the open string are also derived from the junction conditions for the stress-energy tensor in Appendix A.) The generalization of this model to null strings, and to a perfect fluid of strings, are discussed, and will form the subject of the second and third papers in this series. The problem of a fully general-relativistic string theory, and an alternate approach to the string, based upon defining an acceleration tensor for two- (and higher) dimensional subspaces, are also discussed.
  • MODEL: STRING
  • STRING: GEOMETRICAL
  • FIELD THEORY: CLASSICAL
  • TENSOR: ENERGY-MOMENTUM
  • CONSERVATION LAW
  • FIELD EQUATIONS
  • MODEL: FLUID
  • general relativity
  • MODEL: BOUNDARY CONDITION