Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87${}^{\ast }$ and Sgr. A${}^{\ast }$ results

Abstract

In this paper, we study rotating black holes in symmergent gravity, and use deviations from the Kerr black hole to constrain the parameters of the symmergent gravity. Symmergent gravity induces the gravitational constant $G$ and quadratic curvature coefficient $c_{\mathrm{O}}$ from the flat spacetime matter loops. In the limit in which all fields are degenerate in mass, the vacuum energy $V_{\mathrm{O}}$ can be wholly expressed in terms of $G$ and $c_{\mathrm{O}}$. We parametrize deviation from this degenerate limit by a parameter $\hat{\alpha }$ such that the black hole spacetime is dS for $\hat{\alpha }<1$ and AdS for $\hat{\alpha }>1$. In constraining the symmergent parameters $c_{\mathrm{O}}$ and $\hat{\alpha }$, we utilize the EHT observations on the M87* and Sgr. A* black holes. We investigate first the modifications in the photon sphere and shadow size, and find significant deviations in the photonsphere radius and the shadow radius with respect to the Kerr solution. We also find that the geodesics of time-like particles are more sensitive to symmergent gravity effects than the null geodesics. Finally, we analyze the weak field limit of the deflection angle, where we use the Gauss-Bonnet theorem for taking into account the finite distance of the source and the receiver to the lensing object. Remarkably, the distance of the receiver (or source) from the lensing object greatly influences the deflection angle. Moreover, $c_{\mathrm{O}}$ needs be negative for a consistent solution. In our analysis, the rotating black hole acts as a particle accelerator and possesses the sensitivity to probe the symmergent gravity.

arXiv comment22 pages, 9 figures, 2 tables. Accepted for publication in the European Physical Journal C (https://link.springer.com/article/10.1140/epjc/s10052-023-11400-6)

References in corpus (101)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Schwarzschild black hole lensing
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Gravitational lensing in the strong field limit
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Shadows and strong gravitational lensing: a brief review
• Emergent Gravity and the Dark Universe
• Kerr Black Holes as Particle Accelerators to Arbitrarily High Energy
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Strong field limit of black hole gravitational lensing
• Relativistic images of Schwarzschild black hole lensing
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Shadow of a black hole surrounded by dark matter
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Gravitational lensing in the Kerr-Randers optical geometry
• Sakharov's induced gravity: a modern perspective
• Black hole shadow in an asymptotically-flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes
• Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
• Photon Rings around Kerr and Kerr-like Black Holes
• Shadows of Einstein-dilaton-Gauss-Bonnet black holes
• The Shadow of a Rotating Traversable Wormhole
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Chaotic lensing around boson stars and Kerr black holes with scalar hair
• Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
• Shadows of Kerr black holes with and without scalar hair
• Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Measuring the Kerr spin parameter of regular black holes from their shadow
• Shadow cast and deflection of light by charged rotating regular black holes
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Shadow of a Spinning Black Hole in an Expanding Universe
• Constraints on a charge in the Reissner--Nordström metric for the black hole at the Galactic Center
• Incidences between points and lines on a two-dimensional variety
• Modified Gravity Black Holes and their Observable Shadows
• Shadows of Multi-Black Holes: Analytic Exploration
• Curvature radius and Kerr black hole shadow
• Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole
• Distortions of images of Schwarzschild lensing
• Rotating Black Hole Shadow in Perfect Fluid Dark Matter
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Strong gravitational lensing and shadow constraint from M87* of slowly rotating Kerr-like black hole
• Deflection Angle and Shadow Behaviors of Quintessential Black Holes in arbitrary Dimensions
• Constraining a modified gravity theory in strong gravitational lensing and black hole shadow observations
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Circular orbit of a particle and weak gravitational lensing
• Shadows, Signals, and Stability in Einsteinian Cubic Gravity
• Dehnen halo effect on a black hole in an ultra-faint dwarf galaxy
• Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
• The dynamics of metric-affine gravity
• Shadows of 5D Black Holes from String Theory
• Cosmological constant corrections to the photon sphere and black hole shadow radii
• Black Hole Shadow in Symmergent Gravity
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Chaotic shadow of a non-Kerr rotating compact object with quadrupole mass moment
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Probing the Lorentz Symmetry Violation Using the First Image of Sagittarius A*: Constraints on Standard-Model Extension Coefficients
• Accretion disks around black holes in modified strong gravity
• Black hole shadow as a standard ruler in cosmology
• Black hole in quantum wave dark matter
• Shadow of a Charged Rotating Black Hole in $f(R)$ Gravity
• Photon regions, shadow observables and constraints from M87* of a charged rotating black hole
• Particle Acceleration in Kerr-(anti-) de Sitter Black Hole Backgrounds
• Rotating dirty black hole and its shadow
• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Instability of a Kerr black hole in f(R) gravity
• Shadows of rotating Hayward-de Sitter black holes with astrometric observables
• Curvature-Restored Gauge Invariance and Ultraviolet Naturalness
• Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures
• Thermodynamics and logarithmic corrections of symmergent black holes
• Gravitational perturbations of a Kerr black hole in $f(R)$ gravity
• Weak Deflection Angle, Hawking Radiation and Greybody Bound of Reissner-Nordström Black Hole Corrected by Bounce Parameter
• Extracting energy via magnetic reconnection from Kerr-de Sitter black holes
• Possibility of Identifying Matter around Rotating Black Hole with Black Hole Shadow
• Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord
• Scalars, Vectors and Tensors from Metric-Affine Gravity
• Kerr-de Sitter and Kerr-anti-de Sitter black holes as accelerators for spinning particles
• New rotating AdS/dS black holes in $\mathrm{f}(\mathrm{R})$ gravity
• Geometric Dark Matter
• Rotating black hole in $f(R)$ theory
• Light Deflection Angle by Superentropic Black Holes
• Particle Acceleration by Static Black Holes in a Model of $f(R)$ Gravity
• Particle collisions in the lower dimensional rotating black hole space-time with the cosmological constant
• Derivation of Poincare Invariance from general quantum field theory
• Particle Collision near 1+1- Dimensional Horava-Lifshitz Black Hole and Naked Singularity
• Shadows of rotating black holes in alternative theories
• Shadow and near-horizon characteristics of the acoustic charged black hole in curved spacetime

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• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Probing Schwarzschild-like Black Holes in Metric-Affine Bumblebee Gravity with Accretion Disk, Deflection Angle, Greybody Bounds, and Neutrino Propagation
• Black hole surrounded by the pseudo-isothermal dark matter halo
• Gravitational signatures of a non--commutative stable black hole
• Constraints on charged Symmergent black hole from shadow and lensing
• Quasinormal modes-shadow correspondence for rotating regular black holes
• Testing black hole mimickers with the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Shadow and greybody bounding of a regular scale-dependent black hole solution
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• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
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• Images of hairy Reissner-Nordström black hole illuminated by static accretions
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• Analyzing the Influence of Geometrical Deformation on Photon Sphere and Shadow Radius: A New Analytical Approach -- Spherically Symmetric Spacetimes
• Kerr-Newman Black Holes in Weyl-Cartan Theory: Shadows and EHT constraints
• Generalized Gibbons-Werner method for stationary spacetimes
• Dynamics of null particles and shadow for general rotating black hole
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Exploring light deflection and black hole shadows in Rastall theory with plasma effects
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Thin accretion disk images of the black hole in symmergent gravity
• Parameter estimation of Kerr-Bertotti-Robinson black holes using their shadows
• Motion of particles around a magnetically charged Euler-Heisenberg black hole with scalar hair and the Event Horizon Telescope
• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Gauge and Poincare properties of the UV cutoff and UV completion in quantum field theory
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Inflation in Symmergent Metric-Palatini Gravity
• Gravitational Black Hole Shadow Spectroscopy
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity
• Analytical approach for calculating shadow of dynamical black hole