On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity

Abstract

We study Levi-Civita metric for values of its sigma parameter in the range 0< sigma<infinity. We show that the value sigma=1/2 makes the axial and angular coordinates switch meaning. We present its geodesics and a physical source satisfying the energy conditions for all the range of sigma. This source allows us to obtain an energy per unit length which agrees with the behaviour of the geodesics and the fact that the solution has no event horizon.

14 pages Latex, to appear in Class. Quantum Grav

Cited by in corpus (28)

• Stability of generic cylindrical thin shell wormholes
• Shearfree Cylindrical Gravitational Collapse
• Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
• Cylindrical Systems in General Relativity
• Static cylindrical symmetry and conformal flatness
• Quantum singularity of Levi-Civita spacetimes
• AdS Black String in a Cosmic Web: Geodesics, Shadows, and Thermodynamics
• Static solutions of Einstein's equations with cylindrical symmetry
• Stationary Cylindrical Anisotropic Fluid
• Notes on static cylindrical shells
• Mining metrics for buried treasure
• Rotating cylindrical shell source for Lewis spacetime
• An Exploration of the Black Hole Entropy via the Weyl Tensor
• Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
• Geodesics dynamics in the Linet-Tian spacetime with Lambda<0
• On the Equivalence of the Massless DKP equation and the Maxwell Equations in the Shuwer
• Trapping photons by a line singularity
• Levi-Civita spacetimes in multidimensional theories
• Static Cylindrical Matter Shells
• A New Class of Accelerating Black Hole Solutions
• Geodesics dynamics in the Linet-Tian spacetime with Lambda>0
• Translation in Cylindrically Symmetric Vacuum
• Static Cylindrical Symmetric Solutions in the Einstein-Aether Theory
• Levi-Civita cylinders with fractional angular deficit
• Gravitational Collapse of an Imperfect Non Adiabatic Fluid
• Cylindrically symmetric radial accretion onto a Levi-Civita string-like source
• Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid with Self-Similarity of the First Kind in (2+1) Dimensions
• Topological Solution to the Cylindrical Einstein-Maxwell Equations