Geometry of Spinning Ellis Wormholes

Abstract

We give a detailed account of the properties of spinning Ellis wormholes, supported by a phantom field. The general set of solutions depends on three parameters, associated with the size of the throat, the rotation and the symmetry of the solutions. For symmetric wormholes the global charges possess the same values in both asymptotic regions, while this is no longer the case for non-symmetric wormholes. We present mass formulae for these wormholes, study their quadrupole moments, and discuss the geometry of their throat and their ergoregion. We demonstrate, that these wormholes possess limiting configurations corresponding to an extremal Kerr black hole. Moreover, we analyze the geodesics of these wormholes, and show that they possess bound orbits.

24 pages, 17 figures

References in corpus (9)

• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Wormhole throats in $R^m$ gravity
• Quadrupole Moments of Rapidly Rotating Compact Objects in Dilatonic Einstein-Gauss-Bonnet Theory
• Rotating Ellis Wormholes in Four Dimensions
• Slowly rotating scalar field wormholes: the second order approximation
• Mixed neutron-star-plus-wormhole systems: Equilibrium configurations
• Magnetic fields in mixed neutron-star-plus-wormhole systems

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• Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory
• Newman-Janis algorithm's application to regular black hole models
• On the traversability of wormhole solutions in asymptotically safe gravity
• Static axionlike dark matter clouds around magnetized rotating wormholes -- probe limit case
• Stability analysis of circular orbits around a traversable wormhole with massless conformally coupled scalar field
• Gravitational Waves by Perturbation of a Slowly Rotating Thin-Shell Wormhole