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Paper   IPM / P / 16770
School of Physics
  Title:   Distinguishing a Slowly Accelerating Black Hole by Differential Time Delays of Images
  Author(s): 
1.  A. Ashoorioon
2.  M.B. Jahani Poshteh
3.  R. B. Mann
  Status:   Preprint
  Journal:
  Year:  2021
  Supported by:  IPM
  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 this observation that differential time delays associated with the images are substantially different with respect to the case of non-accelerating black holes. This is in contrast with when the theory governing the strong gravitational field around the black hole is different from general relativity, where not only the differential time delays but the angular position of images would be different. We conclude that, if the observed angular position of images are compatible with the prediction of general relativity, a possible deviation in the differential time delays between the observed values and those predicted by general relativity, could be due to the acceleration of the black hole.

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