Distinguishing a Slowly Accelerating Black Hole by Differential Time Delays of Images

Abstract

Accelerating supermassive black holes, connected to cosmic strings, could contribute to structure formation and get captured by galaxies if their velocities are small. This would mean that the acceleration of these black holes is small too. Such a slow acceleration has no significant effect on the shadow of such supermassive black holes. We also show that, for slowly accelerating black holes, the angular position of images in the gravitational lensing effects do not change significantly. We propose a method to observe the acceleration of these black holes through the gravitational lensing. The method is based on the observation that differential time delays associated with the images are substantially different with respect to the case of non-accelerating black holes.

arXiv comment5 pages, 3 figures, matched the published version in PRL. arXiv admin note: substantial text overlap with arXiv:2110.13132

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Cited by in corpus (9)

• Conservation of distortion of gravitationally lensed images
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Distinguishing a Slowly Accelerating Black Hole by Differential Time Delays of Images
• Lensing Signatures of a Slowly-Accelerated Black Hole
• Holographic complexity of rotating black holes with conical deficits
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Quasinormal modes of gravitational perturbation for uniformly accelerated black holes
• Timelike orbits around accelerating black holes
• Measuring black hole spin through gravitational lensing of pulsars