The static cylinder, gyroscopes, the C metric, and all that

Abstract

The physical meaning of the Levi-Civita spacetime for some "critical" values of the parameter sigma, is discussed in the light of gedanken experiments performed with gyroscopes circumventing the axis of symmetry. The fact that sigma=1/2 corresponds to flat space described from the point of view of an accelerated frame of reference, led us to incorporate the C metric into discussion. The interpretation of phi as an angle variable for any value of sigma, appears to be at the origen of difficulties.

17 pages Latex, five figures. To appear in Gen.Rel.Grav

References in corpus (1)

• Gyroscope precession in cylindrically symmetric spacetimes

Cited by in corpus (11)

• Stability of generic cylindrical thin shell wormholes
• Cylindrical Systems in General Relativity
• On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity
• Static cylindrical symmetry and conformal flatness
• Quantum singularity of Levi-Civita spacetimes
• Stationary Cylindrical Anisotropic Fluid
• Mining metrics for buried treasure
• Trapping photons by a line singularity
• Levi-Civita spacetimes in multidimensional theories
• On the gravitomagnetic effects in cylindrically symmetric spacetimes
• Levi-Civita cylinders with fractional angular deficit