Gravitational Lensing of Gravitational Waves as a Probe to Study the Distribution of Matter in the Cosmos

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Torabi Ghadim, Nooshin | 2024

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 57494 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Baghram, Shant; Rahvar, Sohrab
Abstract:
In this research, our goal was to investigate the gravitational lensing (GL) of gravitational waves (GW), particularly focusing on the impact of primordial black holes (PBH) on the number of lensed gravitational wave events. In the case of strong lensing, two or more images of a single event can form, arriving at the observer with a time delay. The cross-section of strong lensing depends on the density distribution of the lens and its Einstein radius. Moreover, we discussed the wave and geometric optics in the context of GL of GWs. Strong lensing statistics include calculating the number of lensed events and the distribution of time delays created between different images of a single event. This strongly depends on the assumed distribution of the lenses. In this work, we have considered the Navarro-Frenk-White (NFW) profile for dark matter halos and calculated the lensing optical depth, and found that it is approximately four orders of magnitude smaller than when the lens is considered as a point mass. Furthermore, the mass range of halos effective in strong lensing is found to be approximately 〖10〗^13
Keywords:
Gravitational Lensing ; Gravitational Waves ; Primordial Black Holes ; Optical Depth ; Navarro-Frenk-White (NFW)Profile