Space-time defects and teleparallelism

Details Space-time defects and teleparallelism Space-time defects and teleparallelism

2001-10-24

arxiv.org/abs/gr-qc/0110107v1

Class.Quant.Grav. 18 (2001) 5143-5154

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, no figures, to appear in the Class. Quantum Gravity

Scientific paper

10.1088/0264-9381/18/23/310

We consider the class of space-time defects investigated by Puntigam and Soleng. These defects describe space-time dislocations and disclinations (cosmic strings), and are in close correspondence to the actual defects that arise in crystals and metals. It is known that in such materials dislocations and disclinations require a small and large amount of energy, respectively, to be created. The present analysis is carried out in the context of the teleparallel equivalent of general relativity (TEGR). We evaluate the gravitational energy of these space-time defects in the framework of the TEGR and find that there is an analogy between defects in space-time and in continuum material systems: the total gravitational energy of space-time dislocations and disclinations (considered as idealized defects) is zero and infinit, respectively.

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