Bending of light in novel 4$D$ Gauss-Bonnet-de Sitter black holes by Rindler-Ishak method

Abstract

We study the bending of light in the space-time of black holes in four-dimensional Einstein-Gauss-Bonnet theory of gravity, recently proposed by Glavan and Lin \cite{Glavan}. Using Rindler-Ishak method, the effect of Gauss-Bonnet coupling on the bending angle is studied. We show that a positive Gauss-Bonnet coupling gives a negative contribution to the Schwarzschild-de Sitter deflection angle, as one would expect.

10 pages, 1 figure. To appear in EPL

References in corpus (46)

• The Confrontation between General Relativity and Experiment
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Gravitational lensing by black holes in the $4D$ Einstein-Gauss-Bonnet gravity
• A consistent theory of $D\to 4$ Einstein-Gauss-Bonnet gravity
• Solar system effects in Schwarzschild--de Sitter spacetime
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Gravitational lensing by charged black hole in regularized $4D$ Einstein-Gauss-Bonnet gravity
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• Wormholes in 4D Einstein-Gauss-Bonnet Gravity
• Black holes in the four-dimensional Einstein-Lovelock gravity
• On the influence of the cosmological constant on gravitational lensing in small systems
• A note on the total action of $4D$ Gauss-Bonnet theory
• Amplitudes and 4D Gauss-Bonnet Theory
• Solar System Constraints on Gauss-Bonnet Mediated Dark Energy
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities
• Spinning test particle in four-dimensional Einstein-Gauss-Bonnet Black Hole
• Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma
• Thin Accretion Disk around a four-dimensional Einstein-Gauss-Bonnet Black Hole
• Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity
• A study on black hole shadows in asymptotically de Sitter spacetimes
• Regularized Lovelock gravity
• BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
• Testing the nature of Gauss-Bonnet gravity by four-dimensional rotating black hole shadow
• Light Deflection, Lensing, and Time Delays from Gravitational Potentials and Fermat's Principle in the Presence of a Cosmological Constant
• Causality of black holes in 4-dimensional Einstein-Gauss-Bonnet-Maxwell theory
• Thermodynamics and Weak Cosmic Censorship Conjecture of 4D Gauss-Bonnet-Maxwell Black Holes via Charged Particle Absorption
• Quasinormal modes of the Dirac field in the novel 4D Einstein-Gauss-Bonnet gravity
• The Vacuole Model: New Terms in the Second Order Deflection of Light
• Non-full equivalence of the four-dimensional Einstein-Gauss-Bonnet gravity and Horndeksi gravity for Bianchi type I metric
• Time delay in the Einstein-Straus solution
• Cosmic evolution in novel-Gauss Bonnet Gravity

Cited by in corpus (35)

• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Quark Stars in 4D Einstein-Gauss-Bonnet gravity with an Interacting Quark Equation of State
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• Vacua and Exact Solutions in Lower-$D$ Limits of EGB
• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Nonsingular Black Holes in $4D$ Einstein--Gauss--Bonnet Gravity
• Theoretical and observational constraints on regularized 4$D$ Einstein-Gauss-Bonnet gravity
• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Rotating 4D Gauss-Bonnet black hole as particle accelerator
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Instability of regularized 4D charged Einstein-Gauss-Bonnet de-Sitter black holes
• Polarized image of an equatorial emitting ring around a 4D Gauss-Bonnet black hole
• Null geodesics and shadow of 4$D$ Einstein-Gauss-Bonnet black holes surrounded by quintessence
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
• Generalized Gibbons-Werner method for stationary spacetimes
• Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime
• Nonsingular black hole chemistry in $4D$ Einstein-Gauss-Bonnet gravity
• Traversable Thin-shell Wormhole in the 4D Einstein-Gauss-Bonnet Theory
• Asymptotic structure of Einstein-Gauss-Bonnet theory in lower dimensions
• Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
• Thermodynamics of static and stationary black holes in Einstein-Gauss-Bonnet gravity with dark matter
• Cosmic evolution in novel-Gauss Bonnet Gravity
• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
• Deflection of charged massive particles by a four-dimensional charged Einstein-Gauss-Bonnet black hole
• Effect of the spatial curvature on light bending and time delay in curved Einstein-Straus--de Sitter spacetime
• Deflection of light and time delay in hyperbolic Einstein-Straus--de Sitter solution
• Lower-dimensional Gauss-Bonnet gravity black holes with quintessence
• Analytical study of holographic superconductor with backreaction in $4d$ Gauss-Bonnet gravity