Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity

Abstract

In this paper, we investigate the gravitational lensing effect for the Schwarzschild-like black hole spacetime in the background of a Kalb-Ramond (KR) field proposed in [K. Yang et. al., Phys. Rev. D 108 (2023) 124004]. The solution is characterized by a single extra parameter $l$, which is associated to the Lorentz symmetry breaking induced by the KR field. First, we calculate the exact deflection angle of massive and massless particles for finite distances using elliptic integrals. Then we study this effect in the weak and strong field regimes, discussing the correction of the KR parameter on the coefficients of the expansions in both limits. We also find that increasing $l$ decreases the deflection angle. Furthermore, we use the available data from the Sagittarius $A^{\star }$ object, which is believed to be a supermassive black hole at the center of our galaxy, to calculate relevant observables, such as, the image position, luminosity, and delay time. The values found could be potentially measured in the weak field regime, though for strong fields one would have to wait for the next generation of interferometers.

arXiv comment16 pages, 8 figures. V2: references added. arXiv admin note: text overlap with arXiv:2309.02658

References in corpus (73)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• 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
• Quantum Gravity at a Lifshitz Point
• Lorentz-Violating Extension of the Standard Model
• Dark Energy and the Accelerating Universe
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• CPT Violation and the Standard Model
• 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
• Observational Probes of Cosmic Acceleration
• Dark torsion as the cosmic speed-up
• Weak Gravitational Lensing of the CMB
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• Schwarzschild black hole lensing
• Noncommutative Field Theory and Lorentz Violation
• Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
• Gravity with a dynamical preferred frame
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• A geometric distance measurement to the Galactic Center black hole with 0.3% uncertainty
• 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
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• The geometry of photon surfaces
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
• Relativistic redshift of the star S0-2 orbiting the Galactic center supermassive black hole
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. II. EHT and Multi-wavelength Observations, Data Processing, and Calibration
• Very Special Relativity
• First Sagittarius A* Event Horizon Telescope Results. IV. Variability, Morphology, and Black Hole Mass
• Loop quantum gravity and light propagation
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case
• Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
• A New Method for Determining Cumulative Gravitational Lensing Effects in Inhomogeneous Universes
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Discovering Galactic Planets by Gravitational Microlensing: Magnification Patterns and Light Curves
• Massive graviton as a testable cold dark matter candidate
• Time Delay in Black Hole Gravitational Lensing as a Distance Estimator
• Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Modified black hole solution with a background Kalb-Ramond field
• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• VBBinaryLensing: a public package for microlensing light curve computation
• First M87 Event Horizon Telescope Results. IX. Detection of Near-horizon Circular Polarization
• Formalism for testing theories of gravity using lensing by compact objects. II: Probing Post-Post-Newtonian metrics
• Formalism for testing theories of gravity using lensing by compact objects. III: Braneworld gravity
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• Scalar field effects on the orbit of S2 star
• The Flux Distribution of Sgr A*
• A review on analytical studies in Gravitational Lensing
• Microlensing Discovery of a Population of Very Tight, Very Low-mass Binary Brown Dwarfs
• Test of Einstein equivalence principle near the Galactic center supermassive black hole
• Observing gravitational lensing effects by Sgr A* with GRAVITY
• Constraining Hořava-Lifshitz gravity by weak and strong gravitational lensing
• Gravitational lensing by a photon sphere in a Reissner-Nordström naked singularity spacetime in strong deflection limits
• Deflection angle of a light ray reflected by a general marginally unstable photon sphere in a strong deflection limit
• Abell 1201: Detection of an Ultramassive Black Hole in a Strong Gravitational Lens
• Weak Gravitational lensing from regular Bardeen black holes
• Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
• Microlensig Binaries with Candidate Brown Dwarf Companions
• Detecting isolated stellar-mass black holes by the Roman telescope
• Constraints on axionic fuzzy dark matter from light bending and Shapiro time delay
• Gravitational bending angle with finite distances by Casimir wormholes
• A Framework for Obtaining Accurate Posteriors of Strong Gravitational Lensing Parameters with Flexible Priors and Implicit Likelihoods using Density Estimation
• The first attempts to measure light deflection by the Sun
• The impact of gravitational lensing in the reconstruction of stellar orbits around Sgr A*

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• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Weak Gravitational Lensing in Ricci-Coupled Kalb-Ramond Bumblebee Gravity: Global Monopole and Axion-Plasmon Medium Effects
• Multimodal signatures of asymptotic (A)dS Kalb-Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres
• Charged Black Holes in the Kalb-Ramond Background with Lorentz Violation: Null Geodesics and Optical Appearance of a Thin Accretion Disk
• Accretion dynamics in black holes with spontaneous Lorentz symmetry breaking
• Probing Kalb-Ramond field with extreme mass ratio inspirals
• Strong gravitational lensing by a Reissner-Nordström naked singularity with a marginally unstable photon sphere
• Probing Observable Features of Lorentz violation in Low-Energy Hořava Gravity with Accretion Disk Images of Black Hole
• Detecting Lorentz-violation induced by a tensor field with S-star's motion around Sgr A*
• Light propagation and gravitational lensing effects in charged Kalb-Ramond spacetime in nonlinear electrodynamics