On black holes as topological defects

Abstract

In this paper, the gravitational field is revisited as a manifestation of defects in continuum media. The Schwarzschild solution is then interpreted as a permanent plastic deformation of space-time and we conjecture that a discrete dislocation leads to a discrete mass spectrum. The dislocation of this black hole is considered as a quasi-local defect, once it vanishes at the spatial infinity. The C-metric is also considered under this viewpoint. The dislocations in such a space-time reveal how the quasi-local defect interacts with a global defect due to the semi-infinite cosmic string. The disclinations are obtained in agreement at certain limits with the literature.