Quadrupole perturbations of slowly spinning Ellis-Bronnikov wormholes

Abstract

We study the axial and polar perturbations of slowly rotating Ellis-Bronnikov wormholes in General Relativity, applying a perturbative double expansion. In particular, we derive the equations for $l=2$, $M_z=2$ perturbations of these objects which are parametrized by an asymmetry parameter. The equations constitute an astrophysically interesting sector of the perturbations that contribute dominantly to the gravitational wave radiation. Moreover, calculation of these modes may exhibit potential instabilities in the quadrupole sector.

arXiv comment35 pages, 2 figures, Invited contribution to the Special Issue "Experimental and Observational Constraints on Wormhole Models"

References in corpus (65)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Natural Wormholes as Gravitational Lenses
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Wormholes as Black Hole Foils
• Gravitational Lensing by Wormholes
• Can the supermassive objects at the centers of galaxies be traversable wormholes? The first test of strong gravity for mm/sub-mm VLBI facilities
• Echoes of Kerr-like wormholes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• The Shadow of a Rotating Traversable Wormhole
• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Fate of the first traversible wormhole: black-hole collapse or inflationary expansion
• Gravitational lensing of wormholes in the galactic halo region
• Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• Wormhole Shadows
• Warp drive basics
• A Gravitational Wave Detector with Cosmological Reach
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Gravitational Microlensing by the Ellis Wormhole
• Shadows of rotating wormholes
• Traversable wormholes in Einstein-Dirac-Maxwell theory
• Deflection angle of light in an Ellis wormhole geometry
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• Wormholes versus black holes: quasinormal ringing at early and late times
• Traversable Wormholes in General Relativity
• Microlensing by natural wormholes: theory and simulations
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Light curves of light rays passing through a wormhole
• On the shadow of rotating traversable wormholes
• Astrometric Image Centroid Displacements due to Gravitational Microlensing by the Ellis Wormhole
• Passage of radiation through wormholes of arbitrary shape
• Novel Einstein-Scalar-Gauss-Bonnet Wormholes without Exotic Matter
• Search for astrophysical rotating Ellis wormholes with X-ray reflection spectroscopy
• Review of the Advanced LIGO gravitational wave observatories leading to observing run four
• Arbitrarily long-lived quasinormal modes in a wormhole background
• Gravitational waves from quasinormal modes of a class of Lorentzian wormholes
• Broad K$\alpha$ iron line from accretion disks around traversable wormholes
• How to tell the shape of a wormhole by its quasinormal modes
• Scalar and axial quasinormal modes of massive static phantom wormholes
• Observational Upper Bound on the Cosmic Abundances of Negative-mass Compact Objects and Ellis Wormholes from the Sloan Digital Sky Survey Quasar Lens Search
• Rotating Ellis Wormholes in Four Dimensions
• The ringing wormholes
• Geometry of Spinning Ellis Wormholes
• Imaging a non-singular rotating black hole at the center of the Galaxy
• Slowly rotating scalar field wormholes: the second order approximation
• Wormhole Potentials and Throats from Quasi-Normal Modes
• Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
• Light Ring behind Wormhole Throat: Geodesics, Images and Shadows
• Quasi-periodic oscillations from the accretion disk around rotating traversable wormholes
• Quasi-periodic Oscillations in Rotating Ellis Wormhole Spacetimes
• On the linear instability of the Ellis-Bronnikov-Morris-Thorne wormhole
• Traversable wormholes in beyond Horndeski theories
• Einstein-Dirac-Maxwell wormholes: ansatz, construction and properties of symmetric solutions
• Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime
• Polar modes and isospectrality of Ellis-Bronnikov wormholes
• Gamma-Ray Emission Produced by $r$-process Elements from Neutron Star Mergers
• Quasinormal modes of rapidly rotating Ellis-Bronnikov wormholes
• Are slowly rotating Ellis-Bronnikov wormholes stable?
• Stationary generalizations for the Bronnikov-Ellis wormhole and for the vacuum ring wormhole
• Quasinormal modes of slowly rotating Kerr-Newman black holes using the double series method
• The Sound of Clearing the Throat: Gravitational Waves from a Black Hole Orbiting in a Wormhole Geometry
• Radial perturbations of Ellis-Bronnikov wormholes in slow rotation up to second order
• Scalar Quasinormal Modes of Rotating Regular Black Holes