Analytical representation for metrics of scalarized Einstein-Maxwell black holes and their shadows

Abstract

Here we construct approximate analytical forms for the metric coefficients and fields representing the scalarized Einstein-Maxwell black holes with various couplings of the scalar field, once the parameters of the system are fixed. By increasing approximation order, one can obtain the analytic representation with any desired accuracy, what was tested via calculations of shadows for these black holes by using approximate analytical and accurate numerical metric functions. We share the Mathematica code which allows one to find an appropriate analytical form of the metric for any couplings and values of parameters. Scalarization increases the radius of the black-hole shadow for all the considered coupling functions.

arXiv comment8 pages, 3 figures, ancillary Mathematica package and 2 notebooks

References in corpus (46)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Quasinormal modes of black holes: from astrophysics to string theory
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Stationary Black Holes: Uniqueness and Beyond
• Testing the No-Hair Theorem with Observations in the Electromagnetic Spectrum: II. Black-Hole Images
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Hunting for extra dimensions in the shadow of M87*
• Shadow of a black hole surrounded by dark matter
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• Apparent shape of super-spinning black holes
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
• Spontaneous scalarisation of charged black holes
• Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
• Spontaneously scalarised Kerr black holes
• General parametrization of axisymmetric black holes in metric theories of gravity
• Black hole shadow in an asymptotically-flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes
• New parametrization for spherically symmetric black holes in metric theories of gravity
• Black-Hole Solutions with Scalar Hair in Einstein-Scalar-Gauss-Bonnet Theories
• Detection of gravitational waves from black holes: Is there a window for alternative theories?
• Black Hole Surrounded by a Dark Matter Halo in the M87 Galactic Center and its Identification with Shadow Images
• Shadows of rotating wormholes
• Spontaneous scalarisation of charged black holes: coupling dependence and dynamical features
• BlackHoleCam: fundamental physics of the Galactic center
• Shape and position of the shadow in the $\delta =2$ Tomimatsu-Sato space-time
• Scalarized black holes in the presence of the coupling to Gauss-Bonnet gravity
• Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole
• Shadows of rotating five-dimensional charged EMCS black holes
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• Asymptotic safety casts its shadow
• Shadows, Signals, and Stability in Einsteinian Cubic Gravity
• Instability of Reissner-Nordström black hole in Einstein-Maxwell-scalar theory
• Quasinormal modes of scalarized black holes in the Einstein-Maxwell-Scalar theory
• Non-Schwarzschild black-hole metric in four dimensional higher derivative gravity: analytical approximation
• Shadow of a black hole at cosmological distance
• Chaotic shadow of a non-Kerr rotating compact object with quadrupole mass moment
• Quasinormal modes of the four-dimensional black hole in Einstein-Weyl gravity
• Hawking radiation of non-Schwarzschild black holes in higher derivative gravity: a crucial role of grey-body factors
• Quasi-normal modes, bifurcations and non-uniqueness of charged scalar-tensor black holes
• An analytical approximation for the Einstein-dilaton-Gauss-Bonnet black hole metric
• Features and stability analysis of non-Schwarzschild black hole in quadratic gravity
• Iron line spectroscopy with Einstein-dilaton-Gauss-Bonnet black holes
• Possibility of Identifying Matter around Rotating Black Hole with Black Hole Shadow
• Gravitational Lensing of a star by a rotating black hole

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• Shadows and deflection angle of charged and slowly rotating black holes in Einstein-Æther theory
• Shadow of a Spinning Black Hole in an Expanding Universe
• Concerns regarding the use of black hole shadows as standard rulers
• Gravitational decoupling for axially symmetric systems and rotating black holes
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• Photon Spheres and Spherical Accretion Image of a Hairy Black Hole
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• Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows
• Shadows of parametrized axially symmetric black holes allowing for separation of variables
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• Black hole spontaneous scalarisation with a positive cosmological constant
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• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
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• Black Holes with Multiple Photon Spheres
• Bayesian Metric Reconstruction with Gravitational Wave Observations
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• Gravitational Lensing by Black Holes with Multiple Photon Spheres
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• Spontaneously vectorized Einstein-Gauss-Bonnet black holes
• Scalarized Einstein-Born-Infeld-scalar Black Holes
• Quasinormal modes and shadows of a new family of Ayón-Beato-Garc\'ıa black holes
• Blandford-Znajek mechanism in the general stationary axially-symmetric black-hole spacetime
• Quasinormal modes of dilatonic Reissner-Nordström black holes
• Echoes from Hairy Black Holes
• Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow
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• Geodesic analysis and black hole shadows on a general non--extremal rotating black hole in five--dimensional gauged supergravity
• General parametrization of higher-dimensional black holes and its application to Einstein-Lovelock theory
• Mixed scalarization of charged black holes: from spontaneous to non-linear scalarization
• Shadow of Kottler black hole in the presence of plasma for a co-moving observer
• Dynamical spontaneous scalarization in Einstein-Maxwell-scalar models in anti-de Sitter spacetime
• The simplest model of a scalarized black hole in the Einstein-Klein-Gordon theory
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• Analytical approximate solutions for scalarized AdS black holes
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• New model of spontaneous scalarization of black holes induced by curvature and matter
• Primary Proca Hair and the Double-Peak Optics of Black Holes
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• Motion of charged particles around a scalarized black hole in Kaluza-Klein theory
• General parametrization of wormhole spacetimes and its application to shadows and quasinormal modes
• Hairy black holes in extended Einstein-Maxwell-scalar theories with magnetic charge and kinetic couplings
• Violation of cosmic censorship in Einstein-Maxwell-Scalar models with fractional coupling
• Fast and accurate analytical formulas for light propagation in general static, spherically symmetric spacetimes
• Linear perturbations of dyonic black holes in the lowest-order $U(1)$ gauge-invariant scalar-vector-tensor theories
• Embedding Gauss-Bonnet scalarization models in higher dimensional topological theories
• Stability of charged scalar hair on a Reissner-Nordström black hole
• Holographic Superconductors in a Non-minimally Coupled Einstein-Maxwell-scalar Model