Generalised Hayward spacetimes: Geometry, matter and scalar quasinormal modes

Abstract

Bardeen's 1968 idea of a regular black hole spacetime was revived by Hayward in 2006 through the construction of a new example of such a geometry. Later it was realised by Neves and Saa, that a wider, two-parameter class exists, with Bardeen and Hayward spacetimes as special cases. In this article, we revisit and generalise the Hayward spacetime by applying the Damour-Solodukhin (DS) prescription. Recalling the DS suggestion of a deformed Schwarzschild spacetime where $g_{tt}=-\left(1-\frac{2M_1}{r}\right)$, $g_{rr}={\left(1-\frac{2M_2}{r}\right)}^{-1}$ and $M_1\ne M_2$, we propose a similar deformation of the Hayward geometry. The $g_{tt}$ and $g_{rr}$ in the original Hayward line element remain functionally the same, {\em albeit} mutations introduced via differently valued metric parameters, following the DS idea. This results in a plethora of spacetime geometries, known as well as new, and including singular black holes, wormholes or regular black holes. We first study the geometric features and matter content of each of such spacetimes in some detail. Subsequently, we find the scalar quasinormal modes corresponding to scalar wave propagation in these geometries. We investigate how the real and imaginary parts of the quasinormal modes depend on the values and ranges of the metric parameters used to classify the geometries. Finally, we argue how our results on this family of spacetimes suggest their utility as black hole mimickers.

arXiv comment45 pages, 22 figures, 7 tables. Matches published version

References in corpus (65)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Quasinormal modes of black holes: from astrophysics to string theory
• Formation and evaporation of non-singular black holes
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Testing the nature of dark compact objects: a status report
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Is the gravitational-wave ringdown a probe of the event horizon?
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Construction of Regular Black Holes in General Relativity
• Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
• Sensitivity and Performance of the Advanced LIGO Detectors in the Third Observing Run
• Echoes from the Abyss: Tentative evidence for Planck-scale structure at black hole horizons
• Testing the no-hair theorem with GW150914
• Regular black holes with a nonlinear electrodynamics source
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Quasinormal modes of black holes. The improved semianalytic approach
• Wormholes as Black Hole Foils
• Echoes of Kerr-like wormholes
• A recipe for echoes from exotic compact objects
• Matched-filtering and parameter estimation of ringdown waveforms
• Detection of gravitational waves from black holes: Is there a window for alternative theories?
• Four Parametric Regular Black Hole Solution
• Bayesian model selection for testing the no-hair theorem with black hole ringdowns
• Shadows of rotating wormholes
• Quasi-Normal Modes and Gravitational Wave Astronomy
• On the viability of regular black holes
• Regular rotating black holes and the weak energy condition
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Gravitational wave echoes through new windows
• Constraints on quasi-normal-mode frequencies with LIGO-Virgo binary-black-hole observations
• Gravitational wave echoes from black hole area quantization
• Echoes in brane worlds: ringing at a black hole--wormhole transition
• Inner horizon instability and the unstable cores of regular black holes
• How does a dark compact object ringdown?
• Searching for black hole echoes from the LIGO-Virgo Catalog GWTC-1
• Empirical tests of the black hole no-hair conjecture using gravitational-wave observations
• Parameter estimation with gravitational waves
• Regular black holes with stable cores
• How to tell the shape of a wormhole by its quasinormal modes
• Ringing of the regular black-hole/wormhole transition
• Black hole ringdown echoes and howls
• Echoes from the braneworld black holes
• Scalar perturbations around rotating regular black holes and wormholes: quasi-normal modes, ergoregion instability and superradiance
• Black Hole Echology: The Observer's Manual
• Gravitational wave sources: reflections and echoes
• On Reflectivity of Quantum Black Hole Horizons
• Echoes of novel black-bounce spacetimes
• Quasinormal modes as a distinguisher between general relativity and f(R) gravity
• Quantum Black Hole Seismology I: Echoes, Ergospheres, and Spectra
• Quasinormal Modes and Gravitational Radiation in Black Hole Spacetimes
• Quasi-Normal Modes of a Natural AdS Wormhole in Einstein-Born-Infeld Gravity
• Tests for the existence of horizon through gravitational waves from a small binary in the vicinity of a massive object

Cited by in corpus (20)

• Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
• Quasinormal modes of renormalization group improved Dymnikova regular black holes
• Quasinormal modes of charged black holes in Asymptotically Safe Gravity
• Ringing and echoes from black bounces surrounded by the string cloud
• Galactic wormholes: Geometry, stability, and echoes
• Regularising the JNW and JMN naked singularities
• Novel regular black holes: geometry, source and shadow
• Long-Lived Quasinormal Modes of Brane-Localized Reissner-Nordström--de Sitter Black Holes
• Gravitational perturbations of the Hayward spacetime and testing the correspondence between quasinormal modes and grey-body factors
• Anisotropic gravastar as horizonless regular black hole spacetime and its images illuminated by thin accretion disk
• Entanglement area law violation from field-curvature coupling
• Quasinormal Modes and Gray-Body Factors for Gravitational Perturbations in Asymptotically Safe Gravity
• Hawking radiation of renormalization group improved regular black holes
• Long-lived modes and grey-body factors of massive fields in quantum-corrected (Hayward) black holes
• Grey-body factors of higher dimensional regular black holes in quasi-topological theories
• Spectral Analysis of Quasinormal Modes of Planck Stars
• Different Regular Black Holes: Geodesic Structures of Test Particles
• Scalar, electromagnetic, and Dirac perturbations of regular black holes constituting primordial dark matter
• Quasinormal modes of Bonanno-Reuter black holes via the Spectral Method
• Shadows of generalised Hayward spacetimes : in vacuum and with plasma