Numerical Study of Ideal Neutron Stars

Kumar, Shubham (2022) Numerical Study of Ideal Neutron Stars. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS dissertation of Shubham Kumar (17MS152)) 17MS152_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (556kB)

Abstract

We start with the simplistic case of cold neutron stars made up of noninteracting neutrons only. In such a case, we work out the relation between pressure and energy density inside the star, i.e., the equation of state. While EOSs are computed using flat spacetime in the existing literature, it has been shown by Golam and Susobhan that such EOSs do not incorporate the gravitational time dilation effect, which underestimates the maximum mass limit of NS significantly. We reproduced their results by using EOS derived in the curved spacetime of NS. Then we give a succinct derivation of the Tolman-Oppenheimer-Volkoff equation. The TOV equations, together with the EOS, are integrated to obtain mass-radius profiles of the neutron star. We incorporated the rotational effects of slowly rotating stars to make it fully general relativistic. We computed the moment of inertia of rotating neutron stars and compared it with the non-rotating case. Finally, we investigated the linear radial perturbation equation and numerically computed its first three eigenmodes.

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