Cylindrical symmetry locally isometric $AdS_{4}$ spacetime

Faizuddin Ahmed; Davood Momeni; Debojit Sarma; Bidyut Bikash Hazarika; Ratbay Myrzakulov

Cylindrical symmetry locally isometric $AdS_{4}$ spacetime

General Relativity and Quantum Cosmology 2016-05-13 v2

Authors: Faizuddin Ahmed , Davood Momeni , Debojit Sarma , Bidyut Bikash Hazarika , Ratbay Myrzakulov

Abstract

We present a maximally symmetric vacuum spacetime, which is locally isometric anti- de Sitter, admitting closed timelike curves appear after a definite instant of time i.e., a time-machine spacetime. The spacetime is regular, free-from curvature singularities and an $4D$ extension of the Misner space in curved spacetime with identical causality violating properties.

Keywords

locally isometric AdS_4 closed timelike curves time-machine spacetime Misner space causality violation maximally symmetric vacuum curvature singularities

Cite

@article{arxiv.1605.03403,
  title  = {Cylindrical symmetry locally isometric $AdS_{4}$ spacetime},
  author = {Faizuddin Ahmed and Davood Momeni and Debojit Sarma and Bidyut Bikash Hazarika and Ratbay Myrzakulov},
  journal= {arXiv preprint arXiv:1605.03403},
  year   = {2016}
}

Comments

11 pages, no figure,extended version, more references, new results

Cylindrical symmetry locally isometric $AdS_{4}$ spacetime

Abstract

Keywords

Cite

Comments

Related papers