Hollow cosmic string: the general-relativistic hollow cylinder

Abstract

We determine the different possible space-time metrics inside an infinite rotating hollow cylinder with given energy density and longitudinal and azimuthal stresses, the metric outside the cylinder being chosen of the spinning cosmic string type. The solutions we obtain for various domains of values of the cylinder parameters include a space-time with topologically Euclidean spatial sections, a black-hole solution, a quasi-regular solution, and various wormhole solutions. A solution which is regular only if the longitudinal dimension is compactified might approximately describe spontaneous compactification of the cylinder to a torus.

28 pages (LaTex, 1 figure available on request), GCR-94/06/01

References in corpus (6)

• Traversable wormholes: Some simple examples
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Closed time like curve and the energy condition in 2+1 dimensional gravity
• Multi-Black-Holes in Three Dimensions
• Weak-Field Gravity of Circular Cosmic Strings
• Weak-Field Gravity of Revolving Circular Cosmic Strings

Cited by in corpus (16)

• Effect of the cosmological constant on the deflection angle by a rotating cosmic string
• Wormhole cosmic strings
• Kaluza-Klein and Gauss-Bonnet cosmic strings
• Bose-Einstein condensate strings
• Flat wormholes from straight cosmic strings
• Gravitational hedgehog, stringy hedgehog and stringy sphere
• Trapping photons by a line singularity
• Bertotti-Robinson solutions of D=5 Einstein-Maxwell-Chern-Simons-Lambda theory
• Exotic spacetimes, superconducting strings with linear momentum, and (not quite) all that
• Static Cylindrical Matter Shells
• Developed Adomian method for quadratic Kaluza-Klein relativity
• Vacuum solutions which cannot be written in diagonal form
• Rotating cosmological cylindrical wormholes in GR and TEGR sourced by anisotropic fluids
• Levi-Civita cylinders with fractional angular deficit
• Topological Solution to the Cylindrical Einstein-Maxwell Equations
• Planary Symmetric Static Worlds with Massless Scalar Sources