Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes

Abstract

Using a perturbative technique, in this work we study the deflection of null and timelike signals in the extended Einstein-Maxwell spacetime, the Born-Infeld gravity and the charged Ellis-Bronnikov (CEB) spacetime in the weak field limit. The deflection angles are found to take a (quasi-)series form of the impact parameter, and automatically takes into account the finite distance effect of the source and observer. The method is also applied to find the deflections in CEB spacetime with arbitrary dimension. It's shown that to the leading non-trivial order, the deflection in some $n$-dimensional spacetimes is of the order $\mathcal{O}(M/b{)}^{n-3}$. We then extended the method to spacetimes that are asymptotically non-flat and studied the deflection in a nonlinear electrodynamical scalar theory. The deflection angle in such asymptotically non-flat spacetimes at the trivial order is found to be not $\pi$ anymore. In all these cases, the perturbative deflection angles are shown to agree with numerical results extremely well. The effects of some nontrivial spacetime parameters as well as the signal velocity on the deflection angles are analyzed.

arXiv comment30 pages, 7 figures; title modified; to match published version in Class.Quant.Grav

References in corpus (39)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Evidence for oscillation of atmospheric neutrinos
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Possible Gravitational Microlensing of a Star in the Large Magellanic Cloud
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Dark Energy vs. Modified Gravity
• Weak Gravitational Lensing and its Cosmological Applications
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Multiple Images of a Highly Magnified Supernova Formed by an Early-Type Cluster Galaxy Lens
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• Gravitational lensing in the Kerr-Randers optical geometry
• iPTF16geu: A multiply imaged, gravitationally lensed type Ia supernova
• Compact stars in Eddington inspired gravity
• 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
• Eddington-inspired Born-Infeld gravity: astrophysical and cosmological constraints
• Galactic Dark Matter in the Phantom Field
• Deflection Angle and Shadow Behaviors of Quintessential Black Holes in arbitrary Dimensions
• Testing alternative theories of gravity using the Sun
• Probing the distribution of dark matter in the Abell 901/902 supercluster with weak lensing
• Weak lensing study of low mass galaxy groups: implications for Omega_m
• Gravitational lensing of massive particles in Reissner-Nordström spacetime
• Einstein-Yang-Mills black hole solution in higher dimensions by the Wu-Yang Ansatz
• Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation
• Compact stars in Eddington-inspired Born-Infeld gravity: Anomalies associated with phase transitions
• 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
• Born-Infeld gravity coupled to Born-Infeld electrodynamics
• Bardeen black hole surrounded by perfect fluid dark matter
• The perturbative approach for the weak deflection angle
• Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
• Perturbative deflection angle for signal with finite distance and general velocities
• Perturbative deflection angle, gravitational lensing in the strong field limit and the black hole shadow
• Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions
• Scalar Hairy Black Holes in the presence of Nonlinear Electrodynamics
• Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing
• Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit

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