Strong Lensing Effect and Quasinormal Modes of Oscillations of Black Holes in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory

Abstract

In this work, we analyze the strong lensing phenomenon and quasinormal modes (QNMs) in the case of black holes (BHs) surrounded by fluids within the framework of $f(R,T)$ gravity, adopting a minimally coupled model of the theory. Our analysis is conducted for three surrounding fields corresponding to three different values of the parameter $\omega$ of the equations of state, each representing a unique class of BH solutions. A universal method developed by V.~Bozza is employed for strong lensing analysis and the WKB approximation method to compute the QNMs of oscillation of the BHs. The influences of the model parameters $\beta$ and $c_2$ on the deflection angle and associated lensing coefficients are analyzed. Our findings on lensing reveal that smaller values of $\beta$ and $c_2$ cause photon divergence at larger impact parameters as well as the lensing results converge to the Schwarzschild limit. Extending the analysis to the supermassive BH Sgr A*, we examine the outermost Einstein rings, estimate three lensing observables: angular position ${\vartheta }_{\infty }$, angular separation $s$ and relative magnification $r_{\text{mag}}$ for the BHs. For a specific values of $\beta$ and $c_2$, BHs with different field configurations exhibit substantial variations in their observable properties. The variation of amplitude and damping of QNMs with respect to the model parameter $\beta$ and $c_2$ is analyzed for the BHs. We found that the $\beta$ parameter has a direct correlation with the amplitude and an inverse relation with the damping of the QNMs, while $c_2$ has direct correlation with amplitude as well as damping. Further, we use the time domain analysis to verify the results and found a good match between the two methods.

27 pages, 19 figures; Published version

References in corpus (59)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• f(R,T) gravity
• A direct empirical proof of the existence of dark matter
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Observation of gravitational waves from two neutron star-black hole coalescences
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Relativistic images of Schwarzschild black hole lensing
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Shadow of a black hole surrounded by dark matter
• Black Holes in Modified Gravity (MOG)
• Gravitational lensing by black holes in the $4D$ Einstein-Gauss-Bonnet gravity
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Strong deflection limit of black hole gravitational lensing with arbitrary source distances
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Distortions of images of Schwarzschild lensing
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Solutions of the Einstein equations for a black hole surrounded by a galactic halo
• Constraining a modified gravity theory in strong gravitational lensing and black hole shadow observations
• Shadows and photon rings of regular black holes and geonic horizonless compact objects
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
• Parameters estimation and strong gravitational lensing of nonsingular Kerr-Sen black holes
• Search for continuous gravitational wave emission from the Milky Way center in O3 LIGO--Virgo data
• Gravitational lensing in a topologically charged Eddington-inspired Born-Infeld spacetime
• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
• Strong gravitational lensing in a noncommutative black-hole spacetime
• A review on analytical studies in Gravitational Lensing
• Holonomy corrected Schwarzschild black hole lensing
• Quasinormal Modes of Non-Linearly Charged Black Holes surrounded by a Cloud of Strings in Rastall Gravity
• Observational predictions of LQG motivated polymerized black holes and constraints from Sgr A* and M87*
• Weak deflection angle by Kalb-Ramond Traversable Wormhole in Plasma and Dark Matter Mediums
• Gravitational lensing by a Horndeski black hole
• Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere
• Quasinormal modes, thermodynamics and shadow of black holes in Hu-Sawicki f(R) gravity theory
• Gravitational Lensing in Modified Gravity: A case study for Fast Radio Bursts
• Constraining the Gravitational Lensing of $z\gtrsim 6$ Quasars from their Proximity Zones
• Strong gravitational lensing by a Konoplya-Zhidenko rotating non-Kerr compact object
• Investigating strong gravitational lensing with black hole metrics modified with an additional term
• Quasinormal modes, temperatures and greybody factors of black holes in a generalized Rastall gravity theory
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• Null Geodesics and Repulsive Behavior of Gravity in (2+1)-dimensional Massive Gravity
• Affine perturbation series of the deflection angle of a ray near the photon sphere of a Reissner-Nordström black hole
• Gravitational Lensing and Image Distortion by Buchdahl Inspired Metric in ${\mathcal{R}}^2$ Gravity
• Shadows and Optical Appearances of Black Holes in $R^2$ Gravity
• Gravitational Lensing by a Dark Compact Object in Modified Gravity and Observational Constraints from Einstein Rings
• Testing General Relativity with Black Hole Quasi-Normal Modes

Cited by in corpus (3)

• Gravitational signatures of a nonlinear electrodynamics in $f(R,T)$ gravity
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Inflationary models in a minimally coupled $f(R,T)$ gravity: Constraints from $Planck$, BICEP/$Keck$, and ACT