Cylindrically symmetric Brans–Dicke–Maxwell solutions

Abstract

We investigate cylindrically symmetric vacuum solutions with both null and non-null electromagnetic fields in the framework of the Brans-Dicke theory and compare these solutions with some of the well-known solutions of general relativity for special values of the parameters of the resulting field functions. We see that, unlike general relativity where the gravitational force of an infinite and charged line mass acting on a test particle is always repulsive, it can be attractive or repulsive for BransDicke theory depending on the values of the parameters as well as the radial distance from the symmetry axis.

Comprehensive timing and X-ray spectral analysis of GX 1+4

“…Torque noise fluctuations and noise strengths of pulse frequency fluctuations have been studied for several accretion powered X-ray pulsars (Bildsten et al 1997;Baykal &Ögelman 1993). Red noise (random walk) in pulse frequency fluctuations or white noise in the pulse frequency derivatives are resonable models for wind accreting X-ray binaries like Vela X-1, 4U 1538-52 and GX 301-2 (Bildsten et al, 1997).…”

Brans-Dicke cylindrical wormholes

“…The static metric associated with a radial electrostatic field was also recently obtained in [23]. A cylindrically symmetric static charge distribution leads to a radial electric field which induces an axisymmetric geometry described by the metric functions…”

“…The general static solution with cylindrical symmetry of the Brans-Dicke equations (1) and (2) in the vacuum case T ¼ 0 is given by the metric functions [22,23] AðrÞ ¼ BðrÞ ¼ r 2dðdÀnÞþð!Þ ;…”

Stability of generic cylindrical thin shell wormholes

“…[10], in addition to the vacuum metric, the authors considered the TSWs in a cylindrically symmetric BD solution with a magnetic field which was introduced in Ref. [17]. Based on Refs.…”