Establishing a universal relation between gravitational waves and black hole lensing

Abstract

Black hole lensing and gravitational waves are, respectively, closely dependent of the property of the lens and radiation source. In this letter, a universal relation between them is established for a rotating black hole acting simultaneously as a lens and a gravitational wave source, in an asymptotically flat spacetime. The relation only relies on the lens geometry and observable, while is independent of the specific nature of the black hole. Therefore, the possible gravitational wave sources could be located with modern astronomical instrument from the side of the lensing without knowing the specific nature of the black hole lens. Moreover, the low bound of the frequency of the gravitational waves can also be well determined.

6 pages, 3 figures

References in corpus (1)

• Connection between black-hole quasinormal modes and lensing in the strong deflection limit

Cited by in corpus (24)

• Black hole shadow in an asymptotically-flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes
• 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
• Quasinormal Modes of Black Holes Surrounded by Dark Matter and Their Connection with the Shadow Radius
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Topological Charge and Black Hole Photon Spheres
• Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes
• Retrolensing by a charged black hole
• Gravitational lensing in Tangherlini spacetime in the weak gravitational field and the strong gravitational field
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Strong gravitational lensing and black hole quasinormal modes: Towards a semiclassical unified description
• Stable photon orbits in stationary axisymmetric electrovacuum spacetimes
• Photon spheres in Einstein and Einstein-Gauss-Bonnet theories and circular null geodesics in axially-symmetric spacetimes
• Null geodesics, quasinormal modes, and thermodynamic phase transition for charged black holes in asymptotically flat and dS spacetimes
• Hidden conformal symmetry on the black hole photon sphere
• Classification of the static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere
• The extreme orbital period in scalar hairy kerr black holes
• Photon orbits and phase transitions in Born-Infeld-dilaton black holes
• Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes
• Geodesic stability and Quasi normal modes via Lyapunov exponent for Hayward Black Hole
• The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
• Astrophysical observables for regular black holes with sub-Planckian curvature
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Decoding a black hole metric from the interferometric pattern of the relativistic images of a compact source