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.

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

References in corpus (36)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Wormholes as Black Hole Foils
• Gravitational Lensing by Wormholes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Warp drive basics
• A Gravitational Wave Detector with Cosmological Reach
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• 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
• Traversable Wormholes in General Relativity
• 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
• Review of the Advanced LIGO gravitational wave observatories leading to observing run four
• Arbitrarily long-lived quasinormal modes in a wormhole background
• Broad K$\alpha$ iron line from accretion disks around traversable wormholes
• Rotating Ellis Wormholes in Four Dimensions
• Geometry of Spinning Ellis Wormholes
• Slowly rotating scalar field wormholes: the second order approximation
• 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
• Traversable wormholes in beyond Horndeski theories
• Einstein-Dirac-Maxwell wormholes: ansatz, construction and properties of symmetric solutions
• 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