Cylindrical systems in general relativity

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of general relativity. In particular, we first review the gener...

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Bibliographic Details
Published in:Classical and quantum gravity 2020-06, Vol.37 (11), p.113002
Main Authors: Bronnikov, Kirill A, Santos, N O, Wang, Anzhong
Format: Article
Language:English
Subjects:
Astrophysics
cylindrical gravitational waves
cylindrical spacetime
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Physics
spacetime singularities
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Summary:With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of general relativity. In particular, we first review the general properties, both local and global, of several important solutions of Einstein's field equations, including the Levi-Civita and Lewis solutions and their extensions to include the cosmological constant and matter fields, and pay particular attention to properties that represent the generic features of the theory, such as the formation of the observed extragalactic jets and gravitational Faraday rotation. We also review studies of cylindrical wormholes, gravitational collapse and hoop conjecture, and polarizations of gravitational waves. In addition, by rigorously defining cylindrically symmetric spacetimes, we clarify various (incorrect) claims existing in the literature, regarding to the generality of such spacetimes.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ab7bba