Abstract
Time delay of the photons coupled to the Weyl tensor in a regular phantom black hole is investigated in both weak and strong deflection gravitational lensing. We find that the time delay in the weak deflection lensing strongly depends on the phantom hair while the delay in the strong deflection lensing is significantly affected by the hair and the strength of the coupling. We suggest that it is necessary to measure these two kind of time signals for fully understanding and distinguishing such an interaction beyond the standard Einstein–Maxwell theory.
Highlights
A new era of strong gravitational physics has come with the direct detections of gravitational waves from binary black holes [1,2,3,4,5,6] and with the direct imaging the shadow of the supermassive black hole M87* in the center of galaxy M87 [7,8,9,10,11,12]
In order to obtain a more comprehensive picture of the photons coupled to the Weyl tensor in the regular phantom black hole, we investigate its time delay in both weak and strong deflection gravitational lensing, which is absent in the previous work [88]
We investigate the time delay in the weak and strong deflection gravitational lensing of the photons coupled to the Weyl tensor in the regular phantom black hole
Summary
A new era of strong gravitational physics has come with the direct detections of gravitational waves from binary black holes [1,2,3,4,5,6] and with the direct imaging the shadow of the supermassive black hole M87* in the center of galaxy M87 [7,8,9,10,11,12]. In order to obtain a more comprehensive picture of the photons coupled to the Weyl tensor in the regular phantom black hole, we investigate its time delay in both weak and strong deflection gravitational lensing, which is absent in the previous work [88] These time-domain signals are important for determining the properties of black holes [89,90,91,92,93,94] and probing new physics [95,96,97,98,99,100,101,102].
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