Document Type

Thesis

Date of Award

2025

Degree Name

Master of Science (MS)

Department

Physics

First Advisor

Varun Vaidya

Abstract

We investigate the tidal Love numbers for a non-rotating dark matter admixed neutron star (NS). Tidal Love numbers, which quantify a star's response to the tidal field of a companion object, are an important feature in the gravitational wave (GW) signal and vary depending on the star’s equation of state and dark matter profiles. By determining how the internal properties of the NS affect the GW signal, we hope that improvements in gravitational wave detection will help constrain these parameters by providing additional data from neutron star mergers with other compact objects. To this end, we focus on solving the Einstein field equations in the interior of the NS up to 2nd order in the orbital frequency in order to relate the internal structure to boundary conditions at the star’s surface which can be matched with the exterior solution.

Subject Categories

Physics

Keywords

Dark matter admixed neutron star Neutron Stars Tidal Love Numbers

Number of Pages

30

Publisher

University of South Dakota

Included in

Physics Commons

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