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Cosmic Strings and Closed Time-Like Curves in Teleparallel Gravity

2001/02/22 by L. C. García de Andrade, L. C. Garcia de Andrade, de Andrade, L. C. Garcia
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0102094

Latex file

arxiv created 2001/02/22 · openalex publication_date 2001/02/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Closed Time-like curves (CTC) in Cosmic strings in teleparallel T4 gravity are forbidden.This result shown here in T4 was shown by Soleng (Phys.Rev.D49 (1994)1124) also to be valid in Einstein-Cartan (EC) gravity.Here we show that in T4 to allow for CTC we are also led to a lower bound on the angular momentum of the cosmic string.This result is obtained by matching the interior T4 solution to a General Relativity (GR) vacuum solution.One of the main differences of the present report and the one by Soleng is that here the interior symmetric solution does not have necessary polarized spins but only Cartan torsion in the spirit of teleparallelism.Torsion flux is computed and it is show that the center of cylinder singularity corresponds to a 2+1 spacetime rotating point particle in T4.Therefore the possibility of building time machines seems to be strongly constraint than in the case of EC gravity.

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