https://doi.org/10.1140/epjp/s13360-024-05703-0
Regular Article
Tidal Love number and its influence on the pericentre shift of S-stars near Sgr A*
1
Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Campus Rd, 741246, Mohanpur Nadia, West Bengal, India
2
Center of Excellence in Space Sciences India, Mohanpur, 741246, Nadia, West Bengal, India
3
Department of Physics, Mizoram University, Tanhril, 796004, Aizawl, Mizoram, India
Received:
29
May
2024
Accepted:
29
September
2024
Published online:
29
October
2024
Pericentre shift of S-stars orbiting the Galactic Center(GC) supermassive black hole, Sgr A* is affected by several factors. Among these, tidal distortion plays an important role. In this work, we investigate two significant prospects on tidal Love number: (i) the influence of the polytropic index of stars on the tidal Love number and, (ii) how tidal Love number affects the pericentre shift of S-stars near Sgr A* which is an important probe for strong-field tests of gravitational theories. We consider S-stars orbiting Sgr A* at a pericentre distance of 4.5 au to 100 au. The S-stars have polytropic indices of the range, n = 0.5, 1.0, 1.5, 2.0, 2.5 and 3.0, and eccentricity, e = 0.1, 0.44 and 0.9 inclined at 
. The tidal Love number is estimated for multipole moments 
and 
. The estimated pericentre shift rate is highest for polytrope n = 0.5 and gradually decreases with increasing polytropic indices. This pattern is observed for all the considered stellar masses ranging from 2 
to 100. The estimated results offer relevant insights for testing general relativity and its alternative theories in the vicinity of Sgr A*.
H. Lalrinfela and Zodinmawia have contributed equally to this work.
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