2023/11/05 by P. C. Lalremruati, Lalremruati, P. C, H. Lalrinfela +2
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics of Galaxies (astro-ph.GA) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High-pressure geophysics and materials #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.2311.02675
openalex publication_date 2023/11/05 · openalex created_date 2023/11/08 · openalex updated_date 2026/07/28
The tidal love number determines a star's deformability rate in the presence of gravitational potential and depends on the star's internal structure. 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 pericenter 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 pericenter distance of 45 au to 500 au, well below the S-2 orbit. The S-stars have polytropic indices of the range, n = 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, and 4.5, and eccentricity, e = 0.9 inclined at i=90 ∘. The tidal love number is estimated for multipole moments l=2 and l=3. It has been found that the tidal love number decreases as the polytropic index increases. Additionally, the tidal love number for the multipole moment of l=2 is dominant over that of l=3. The tidal distortion effect also causes a greater pericenter shift in compact orbit S-stars with lower polytropic indices and tidal love number having multipole moment l=2. The estimated results offer relevant insights for testing general relativity and its alternative theories in the vicinity of Sgr A*