Physical Interpretation of Cylindrically Symmetric Static Gravitational Fields

Abstract

The explicit relationship is determined between the interior properties of a static cylindrical matter distribution and the metric of the exterior space-time according to Einstein gravity for space-time dimensionality larger or equal to four. This is achieved through use of a coordinate system isotropic in the transverse coordinates. As a corollary, similar results are obtained for a spherical matter distribution in Brans-Dicke gravity for dimensions larger than or equal to three. The approach used here leads to consistency conditions for those parameters characterizing the exterior metric. It is shown that these conditions are equivalent to the requirement of hydrostatic equilibrium of the matter distribution (generalized Oppenheimer-Volkoff equations). These conditions lead to a consistent Newtonian limit where pressures and the gravitational constant go to zero at the same rate.

10 pages, RevTex, no figures

References in corpus (1)

• The black hole that went away

Cited by in corpus (6)

• Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model
• Energy Distribution of a Gödel-Type Space-Time
• Cosmic Strings in the Abelian Higgs Model with Conformal Coupling to Gravity
• Proca Q Tubes and their Coupling to Gravity
• Non stationary Einstein-Maxwell fields interacting with a superconducting cosmic string
• Cylindrically symmetric solitons in Einstein-Yang-Mills theory