Optical properties of a Brane-World black hole as photons couple to the Weyl tensor

Abstract

In this article, we have investigated the equations of motion of the photons coupled to Weyl tensor by the geometric optics approximation and the corresponding shadow in a Brane-World black hole spacetime. It is shown that there exists a double shadow for a black hole since the coupling photons with different polarization directions propagate along different paths in the spacetime. Furthermore, we discuss the effects of the metric parameter $\alpha$ related to the cosmological constant, X-cold dark matter parameter $\beta$ and the coupling parameter $\lambda$ on the umbra (the overlap region of the double shadow) and the penumbra. We also obtain the finite-distance corrections to the deflection angle of light in the Brane-World black hole spacetime as the photons coupled to Weyl tensor by using a recent geometric method.

arXiv commentarXiv admin note: text overlap with arXiv:1502.01088, arXiv:1611.08783, arXiv:1606.04634 by other authors

References in corpus (61)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• The Galactic Center Massive Black Hole and Nuclear Star Cluster
• Brane-World Gravity
• Event-horizon-scale structure in the supermassive black hole candidate at the Galactic Centre
• Large and infinite extra dimensions
• Cosmological Expansion in the Presence of an Extra Dimension
• A New Radio - X-Ray Probe of Galaxy Cluster Magnetic Fields
• Cosmology of One Extra Dimension with Localized Gravity
• Cosmology and Brane Worlds: A Review
• Brane cosmology: an introduction
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• RadioAstron -- a Telescope with a Size of 300 000 km: Main Parameters and First Observational Results
• Flavor Physics in the Randall-Sundrum Model: I. Theoretical Setup and Electroweak Precision Tests
• Shadow and Deflection Angle of Rotating Black Holes in Perfect Fluid Dark Matter with a Cosmological Constant
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
• Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
• Brane-world stars with solid crust and vacuum exterior
• Light propagation in non linear electrodynamics
• Stability of the graviton Bose-Einstein condensate in the brane-world
• Brane-world stars and (microscopic) black holes
• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• Scalar Electrodynamics and Primordial Magnetic Fields
• Weyl corrections to holographic conductivity
• Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
• The 3+1 holographic superconductor with Weyl corrections
• Faster than light' photons and charged black holes
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• p-Wave holographic superconductors with Weyl corrections
• `Faster than light' photons and rotating black holes
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Gauge Invariant Wave Equations in Curved Space-Times and Primordial Magnetic Fields
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• A note on holographic superconductors with Weyl Corrections
• The Stückelberg Holographic Superconductors with Weyl corrections
• Strong gravitational lensing for the photons coupled to Weyl tensor in a Schwarzschild black hole spacetime
• Holographic insulator/superconductor phase transition with Weyl corrections
• Propagation of vacuum polarized photons in topological black hole spacetimes
• Maxwell's field coupled nonminimally to quadratic torsion: Induced axion field and birefringence of the vacuum
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Double shadow of a regular phantom black hole as photons couple to Weyl tensor
• Condensation of the scalar field with Stuckelberg and Weyl Corrections in the background of a planar AdS-Schwarzschild black hole
• Anisotropic brane gravity with a confining potential
• Brane-World Black Hole Solutions via a Confining Potential
• Solar constraints on new couplings between electromagnetism and gravity
• Faster than Light Photons in Gravitational Fields II - Dispersion and Vacuum Polarisation
• "Faster Than Light" Photons in Dilaton Black Hole Spacetimes
• Gravitoelectromagnetic inflation from a 5D vacuum state: a new formalism
• An astronomical search for evidence of new physics: Limits on gravity-induced birefringence from the magnetic white dwarf RE J0317-853
• One-loop graviton corrections to Maxwell's equations
• Generalized Chaplygin gas as geometrical dark energy
• Strong gravitational lensing for the photons coupled to Weyl tensor in a Kerr black hole spacetime
• Dynamical evolution of the electromagnetic perturbation with Weyl corrections
• Absorption cross section and Hawking radiation of the electromagnetic field with Weyl corrections
• Dynamical evolution of a vector field perturbation coupling to Einstein tensor
• Quantum gravitational optics: the induced phase
• Curved branes with regular support

Cited by in corpus (6)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Shadow and weak gravitational lensing of a rotating regular black hole in a non-minimally coupled Einstein-Yang-Mills theory in the presence of plasma
• Shadows of rotating Hayward-de Sitter black holes with astrometric observables
• Gravitational atoms in the braneworld scenario
• Massive Scalar Perturbation of Extremal Rotating Braneworld Black hole: Superradiant Stability Analysis
• Scalar field propagation in braneworld black hole scenario obtained from Nash theorem