Gravitational energy of conical defects
| Autor: | Andreas Kneip, José W. Maluf |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1995 |
| Předmět: |
Physics
Spacetime General relativity FOS: Physical sciences Statistical and Nonlinear Physics General Relativity and Quantum Cosmology (gr-qc) Space (mathematics) General Relativity and Quantum Cosmology Gravitational energy Cosmic string symbols.namesake Torsion tensor Classical mechanics Gravitational field symbols Einstein Mathematical Physics |
| Popis: | The energy density of asymptotically flat gravitational fields can be calculated from a simple expression involving the trace of the torsion tensor. Integration of this energy density over the whole space yields the ADM energy. Such expression can be justified within the framework of the teleparallel equivalent of general relativity, which is an alternative geometrical formulation of Einstein's general relativity. In this paper we apply this energy density to the evaluation of the energy per unit length of a class of conical defects of topological nature, which include disclinations and dislocations (in the terminology of crystallography). Disclinations correspond to cosmic strings, and for a spacetime endowed with only such a defect we obtain precisely the well known expression of energy per unit length. However for a pure spacetime dislocation the total gravitational energy is zero. 16 pages, LaTex file, no figure, additional text included, to appear in the J. Math. Phys |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|