The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method

Abstract

Recently, we proposed a generalized Gibbons-Werner (GW) method for analyzing particle trajectories in rotating spacetimes, regardless of their asymptotic behavior [Huang \textit{et al.}, \href{https://iopscience.iop.org/article/10.1088/1475-7516/2024/01/013}{J. Cosmol. Astropart. Phys. 01(2024), 013}]. Using this method, we examine the impact of the cosmological constant ($\Lambda$) on the light deflection in rotating spacetimes within the framework of Kerr-de Sitter (KdS) geometry. Although Sultana previously calculated the deflection angle of light in KdS spacetime, our study advances this research in three aspects: (i) Orbit solution -- the light trajectory is derived by directly solving the original equation of motion (EOM) without intermediate processes. (ii) Positions of the source and observer -- the finite distances of the source and observer from the lens are explicitly considered, avoiding approximations. (iii) Staticity of the source and observer -- the Randers optical space is employed to resolve the staticity constraint. Through these refined considerations, we obtain a novel expression for the deflection angle of light in KdS spacetime, accurate to second-order in $\Lambda$, as well as in the mass (M) and spin parameter (a) of the central body. Furthermore, we discuss the discrepancies between our results and previous expressions. Finally, we evaluate the observational implications of our corrections relative to Sultana's work in the lensing systems of the Sun and Sgr A*, and show that they may become observable with forthcoming high-precision astronomical measurements.

References in corpus (89)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Cosmological Imprint of an Energy Component with General Equation of State
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• The Case for a Positive Cosmological Lambda-term
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Dark Energy Constraints from the Cosmic Age and Supernova
• A terrestrial planet candidate in a temperate orbit around Proxima Centauri
• The Second Data Release of the Sloan Digital Sky Survey
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• The Third Data Release of the Sloan Digital Sky Survey
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• Assisted inflation via tachyon condensation
• Gravitational lensing in the Kerr-Randers optical geometry
• Exact traversable wormhole solution in bumblebee gravity
• The Revival of the Unified Dark Energy-Dark Matter Model ?
• Gravitational Lensing by Rotating Wormholes
• Shadow and Deflection Angle of Rotating Black Holes in Perfect Fluid Dark Matter with a Cosmological Constant
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Shadow cast and Deflection angle of Kerr-Newman-Kasuya spacetime
• Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment
• Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Shadow cast and deflection of light by charged rotating regular black holes
• Light Deflection by a Rotating Global Monopole Spacetime
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Hawking Radiation and Deflection of Light from Rindler Modified Schwarzschild Black Hole
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field
• Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• On the influence of the cosmological constant on gravitational lensing in small systems
• Circular orbit of a particle and weak gravitational lensing
• Deflection angle of photon from magnetized black hole and effect of nonlinear electrodynamics
• Deflection angle of light for an observer and source at finite distance from a rotating wormhole
• Light Deflection and Gauss-Bonnet Theorem: Definition of Total Deflection Angle and its Applications
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
• Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Deflection of light by black holes and massless wormholes in massive gravity
• Gravitational deflection angle of light: Definition by an observer and its application to an asymptotically nonflat spacetime
• Deflection angle of light for an observer and source at finite distance from a rotating global monopole
• Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
• Effect of the cosmological constant on the deflection angle by a rotating cosmic string
• The role of Lambda in the cosmological lens equation
• Rigorous Approach to the Gravitational Lensing
• The bending of light and the cosmological constant
• Finite distance corrections to the light deflection in a gravitational field with a plasma medium
• Effect of the cosmological constant on the bending of light and the cosmological lens equation
• S62 on a 9.9 yr Orbit around SgrA*
• Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor
• The finite-distance gravitational deflection of massive particles in stationary spacetime: a Jacobi metric approach
• Gravitational deflection of relativistic massive particles by wormholes
• Gravitational deflection of light in the Schwarzschild -de Sitter space time
• Phantom wormholes in Einstein-Maxwell-dilaton theory
• Geometrization of light bending and its application to SdSw spacetime
• On lensing by a cosmological constant
• Distinguishing rotating naked singularities from Kerr-like wormholes by their deflection angles of massive particles
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Conical Morris-Thorne Wormholes with a Global Monopole Charge
• Gravitational deflection of relativistic massive particles by Kerr black holes and Teo wormholes viewed as a topological effect
• Weak deflection angle by electrically and magnetically charged black holes from nonlinear electrodynamics
• Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
• Light Deflection with Torsion Effects Caused by a Spinning Cosmic String
• Weak Gravitational lensing by Bocharova-Bronnikov-Melnikov-Bekenstein black holes using Gauss-bonnet theorem
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Kerr black hole surrounded by a cloud of strings and its weak gravitational lensing in Rastall gravity
• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Weak Gravitational lensing by stringy black holes
• Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
• Gravitational lensing by a charged spherically symmetric black hole immersed in thin dark matter
• Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole
• Generalized Gibbons-Werner method for stationary spacetimes
• Light Deflection by Rotating Regular Black Holes with a Cosmological Constant
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• Dark matter superfluid and DBI dark energy
• Extending Gibbons-Werner method to bound orbits of massive particles
• Deflection of charged signals in a dipole magnetic field in Schwarzschild background using Gauss-Bonnet theorem
• Gravitational lens on de-Sitter background
• Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos
• Microlensing and event rate of static spherically symmetric wormhole
• Imprints of a gravitational wave through the weak field deflection of photons
• Testing Cotton gravity as dark matter substitute with weak lensing
• On the global Gaussian bending measure and its applications in stationary spacetimes