Dark matter admixed relativistic stars: Structural properties and tidal Love numbers

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Main Authors: Tangphati, Takol, Panotopoulos, Grigoris, Banerjee, Ayan, Pradhan, Anirudh
Format: Preprint
Published: 2025
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_version_ 1866912443979005952
author Tangphati, Takol
Panotopoulos, Grigoris
Banerjee, Ayan
Pradhan, Anirudh
author_facet Tangphati, Takol
Panotopoulos, Grigoris
Banerjee, Ayan
Pradhan, Anirudh
contents We study the impact of bosonic, self-interacting dark matter on structural properties and tidal deformabilities of compact stars. As far as the gravitational theory is concerned, we assume Einstein's gravity in four dimensions with a vanishing cosmological constant. Regarding matter content, we consider a state-of-matter to a linear form of equation-of-state (EoS), while for dark matter we assume a quartic scalar potential, which implies a certain non-linear EoS obtained long time ago. Adopting the two-fluid formalism we integrate the structure equations as well as the Riccati equation for the metric even perturbations imposing appropriate initial conditions at the center of the stars and matching conditions at their surface. We compute the stellar mass and radius, factor of compactness and dimensionless deformability varying several free parameters of the model studied here. Tidal deformability and the corresponding tidal Love number determine the imprint of the underlying EoS within the signals emitted during binary coalescences, and it is expected to be altered due to the presence of dark matter inside the objects. We find that in all cases considered here, the dimensionless deformability of the canonical stellar mass remains lower than the upper bound, $Λ_{1.4} < 800$. We also look at the stability of these stars based on the Harrison-Zeldovich-Novikov criterion under various conditions. It is observed that the presence of dark matter implies significantly lower highest stellar mass, and also smaller and more compact stars for a given stellar mass.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17758
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dark matter admixed relativistic stars: Structural properties and tidal Love numbers
Tangphati, Takol
Panotopoulos, Grigoris
Banerjee, Ayan
Pradhan, Anirudh
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
We study the impact of bosonic, self-interacting dark matter on structural properties and tidal deformabilities of compact stars. As far as the gravitational theory is concerned, we assume Einstein's gravity in four dimensions with a vanishing cosmological constant. Regarding matter content, we consider a state-of-matter to a linear form of equation-of-state (EoS), while for dark matter we assume a quartic scalar potential, which implies a certain non-linear EoS obtained long time ago. Adopting the two-fluid formalism we integrate the structure equations as well as the Riccati equation for the metric even perturbations imposing appropriate initial conditions at the center of the stars and matching conditions at their surface. We compute the stellar mass and radius, factor of compactness and dimensionless deformability varying several free parameters of the model studied here. Tidal deformability and the corresponding tidal Love number determine the imprint of the underlying EoS within the signals emitted during binary coalescences, and it is expected to be altered due to the presence of dark matter inside the objects. We find that in all cases considered here, the dimensionless deformability of the canonical stellar mass remains lower than the upper bound, $Λ_{1.4} < 800$. We also look at the stability of these stars based on the Harrison-Zeldovich-Novikov criterion under various conditions. It is observed that the presence of dark matter implies significantly lower highest stellar mass, and also smaller and more compact stars for a given stellar mass.
title Dark matter admixed relativistic stars: Structural properties and tidal Love numbers
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2506.17758