Gravitational lensing in spherically symmetric static spacetimes with centrifugal force reversal

Abstract

In Schwarzschild spacetime the value $r=3m$ of the radius coordinate is characterized by three different properties: (a) there is a ``light sphere'', (b) there is ``centrifugal force reversal'', (c) it is the upper limiting radius for a non-transparent Schwarschild source to act as a gravitational lens that produces infinitely many images. In this paper we prove a theorem to the effect that these three properties are intimately related in {\em any} spherically symmetric static spacetime. We illustrate the general results with some examples including black-hole spacetimes and Morris-Thorne wormholes.

18 pages, 3 eps-figures

References in corpus (1)

• The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations

Cited by in corpus (62)

• Calculating black hole shadows: Review of analytical studies
• Relativistic images of Schwarzschild black hole lensing
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Light curves of light rays passing through a wormhole
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Gravitational lensing in plasma: Relativistic images at homogeneous plasma
• Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Retrolensing by a charged black hole
• Retrolensing by a wormhole at deflection angles $\pi$ and $3\pi$
• Gravitational lensing in Tangherlini spacetime in the weak gravitational field and the strong gravitational field
• Retrolensing by two photon spheres of a black-bounce spacetime
• Distinct topological configurations of equatorial timelike circular orbit for spherically symmetric (hairy) black holes
• Deflection angle and shadow of the Reissner-Nordström black hole with higher-order magnetic correction in Einstein-nonlinear-Maxwell fields
• Relationship between High-Energy Absorption Cross Section and Strong Gravitational Lensing for Black Hole
• Absorption, Scattering, Geodesics, Shadows and Lensing Phenomena of Black Holes in Effective Quantum Gravity
• Flare-out condition of Morris-Thorne wormhole and finiteness of pressure
• Charged Wormhole Solutions in Einstein-Cartan gravity
• Caustic echoes from a Schwarzschild black hole
• 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
• Nonlogarithmic divergence of a deflection angle by a marginally unstable photon sphere of the Damour-Solodukhin wormhole in a strong deflection limit
• Semiclassical gravitational effects on the gravitational lensing in the spacetime of topological defects
• Time Delay between Relativistic Images as a probe of Cosmic Censorship
• Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere
• Effects of non-commutative geometry on black hole properties
• Strong deflection limit analysis of black hole lensing in inhomogeneous plasma
• A Morse-theoretical analysis of gravitational lensing by a Kerr-Newman black hole
• Traversable wormholes in Einsteinian cubic gravity
• Quasi-local photon surfaces in general spherically symmetric spacetimes
• Quantum hamiltonians and prime numbers
• Negative Time Delay in Strongly Naked Singularity Lensing
• Strong deflection of massive particles in spherically symmetric spacetimes
• Thermodynamics of quantum photon spheres
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Observational signatures of a static $f(R)$ black hole with thin accretion disk
• Affine perturbation series of the deflection angle of a ray near the photon sphere of a Reissner-Nordström black hole
• Gravitational signatures of a nonlinear electrodynamics in $f(R,T)$ gravity
• Interferometric signature of higher-order images in a parametrized framework
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Retrolensing by light rays slightly inside and outside of a photon sphere around a Reissner-Nordström naked singularity
• Quasi-local studies of the particle surfaces and their stability in general spacetimes
• Nondivergent deflection of light around a photon sphere of a compact object
• Circular light orbits of a general, static, and spherical symmetrical wormhole with $Z_2$ symmetry
• Wormhole solutions in generalized Rastall gravity
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• Quantum Gravitational Hair in Gravastars and Observational Tests
• New look at AdS black holes with conformal scalar hair
• Optical geometry analysis of the electromagnetic self-force
• Gravitational lensing inside and outside of a marginally unstable photon sphere in a general, static, spherically symmetric, and asymptotically-flat spacetime in strong deflection limits
• Characterisation of circular light rays in a plasma
• Seeing through a nearly black star
• Gravitational lensing by two photon spheres in a black-bounce spacetime in strong deflection limits
• Gravitational aspects of a new bumblebee black hole
• Wormholes in Poincarè gauge theory of gravity