July 15, 2021 0:35 WSPC/INSTRUCTION FILE halo˙spacetime International Journal of Modern Physics D © World Scientific Publishing Company Gravitational lensing study of cold dark matter led galactic halo Samrat Ghosh High Energy & Cosmic Ray Research Centre, University of North Bengal, Siliguri, West Bengal, 734013, India
[email protected] Arunava Bhadra High Energy & Cosmic Ray Research Centre, University of North Bengal, Siliguri, West Bengal, 734013, India aru
[email protected] Amitabha Mukhopadhyay Department of Physics, University of North Bengal, Siliguri, West Bengal, 734013, India amitabha 62@rediffmail.com Received Day Month Year Revised Day Month Year In this work the space-time geometry of the halo region in spiral galaxies is obtained considering the observed flat galactic rotation curve feature, invoking the Tully-Fisher relation and assuming the presence of cold dark matter in the galaxy. The gravitational lensing analysis is performed treating the so obtained space-time as a gravitational lens. It is found that the aforementioned space-time as the gravitational lens can consistently explain the galaxy-galaxy weak gravitational lensing observations and the lensing obser- vations of the well-known Abell 370 and Abell 2390 galaxy clusters. arXiv:1904.13390v3 [gr-qc] 14 Jul 2021 Keywords: galactic rotation curve; galactic halo; gravitational lensing. PACS numbers: 1. Introduction The astrophysical observations reveal that after the termination of the luminous disk the expected Keplerian fall-off is absent in rotation curves (variation of the angular velocity of test particles with distance from the galactic center) of spiral galaxies.58, 63–65, 73 The frequency shift of the 21 cm HI emission line from neutral hydrogen cloud at large distances from the galactic center rotating in circular orbits allows constructing a rotation curve of galaxies involving distances up to a few tens of kpc or even a few hundreds of kpc in few cases.