Cylindrical wormholes: A search for viable phantom-free models in GR

The well-known problem of wormholes in General Relativity (GR) is the necessity of exotic matter, violating the Weak Energy Condition (WEC), for their support. This problem looks easier if, instead of island-like configurations, one considers string-like ones, among them, cylindrically symmetric spacetimes with rotation. However, for cylindrical wormhole solutions, a problem is the lacking asymptotic flatness, making it impossible to observe their entrances as local objects in our universe. It was suggested to solve this problem by joining a wormhole solution to flat asymptotic regions at some surfaces ∑- A nd ∑+ on different sides of the throat. The configuration then consists of three regions, the internal one containing a throat and two flat external ones. We discuss different kinds of source matter suitable for describing the internal regions of such models (scalar fields, isotropic and anisotropic fluids) and present two examples where the internal matter itself and the surface matter on both junction surfaces ∑± respect the WEC. In one of these models, the internal source is a stiff perfect fluid whose pressure is equal to its energy density, in the other, it is a special kind of anisotropic fluid. Both models are free from closed timelike curves. We thus obtain examples of regular twice asymptotically flat wormhole models in GR without exotic matter and without causality violations. © 2019 World Scientific Publishing Company.

Authors
Language
English
Status
Published
Year
2019
Organizations
  • 1 VNIIMS, Ozyornaya 46, Moscow, 119361, Russian Federation
  • 2 Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 3 National Research Nuclear University MEPhI, Moscow Engineering Physics Institute, Kashirskoe sh. 31, Moscow, 115409, Russian Federation
  • 4 Peoples' Friendship University of Russia, RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Keywords
asymptotic flatness; cylindrical symmetry; energy conditions; exact solutions; General relativity; rotation; wormholes
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38514/
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