On the properties of a deformed extension of the NUT space-time

Abstract

We consider a class of space-times given by a stationary extension of the Zipoy-Voorhees metric that was found by Halilsoy. We show that the solutions do not describe rotating sources but must be interpreted, similarly to the NUT case, as deformed sources endowed with a gravitomagnetic charge. We show that the Halilsoy family is directly linked to the NUT space-time, which can be obtained in the limit of vanishing deformations. We investigate the motion of test particles and photons in this class of space-times, in particular the innermost stable circular orbits and photon capture radius. Finally we show that this class of solutions possesses a sub-manifold where closed time-like curves are allowed.

11 pages, 7 figures. v2: refereed version

References in corpus (8)

• Shape and position of the shadow in the $\delta =2$ Tomimatsu-Sato space-time
• Black hole mimicker hiding in the shadow: Optical properties of the $\gamma$-metric
• Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
• Spinning test particles in the $\gamma$ spacetime
• Public Release of RELXILL_NK: A Relativistic Reflection Model for Testing Einstein's Gravity
• Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
• Charged particle motion around a quasi-Kerr compact object immersed in an external magnetic field
• On the simplest static and stationary vacuum quadrupolar metrics

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• Matching van Stockum dust to Papapetrou vacuum
• The Charged Zipoy-Voorhees Metric with Astrophysical Applications