Second Love number of dark compact planets and neutron stars with dark matter

Yannick Dengler, Jürgen Schaffner-Bielich, and Laura Tolos
Phys. Rev. D 105, 043013 – Published 18 February 2022

Abstract

We study the mass-radius relation and the second Love number of compact objects made of ordinary matter and non-self-annihilating fermionic dark matter for a wide range of dark matter particle masses, and for the cases of weakly and strongly interacting dark matter. We obtain stable configurations of compact objects with radii smaller than 10 km and masses similar to Earth- or Jupiter-like stellar objects. In certain parameter ranges, we find second Love numbers which are markedly different compared to those expected for neutron stars without dark matter. Thus, by obtaining the compactness of these compact objects and measuring their tidal deformability from gravitational wave detections from binary neutron star mergers, the extracted value of the second Love number would allow us to determine the existence of dark matter inside neutron stars irrespective of the equation of state of ordinary matter.

  • Figure
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  • Received 16 November 2021
  • Accepted 2 February 2022

DOI:https://doi.org/10.1103/PhysRevD.105.043013

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & AstrophysicsNuclear Physics

Authors & Affiliations

Yannick Dengler* and Jürgen Schaffner-Bielich

  • Institut für Theoretische Physik, J. W. Goethe Universität, Max von Laue-Straße 1, 60438 Frankfurt am Main, Germany

Laura Tolos

  • Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, 08193 Barcelona, Spain; Institut d’Estudis Espacials de Catalunya (IEEC), 08034 Barcelona, Spain; Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway, and Frankfurt Institute for Advanced Studies, Ruth-Moufang-Straße 1, 60438 Frankfurt am Main, Germany

  • *dengler@itp.uni-frankfurt.de
  • schaffner@astro.uni-frankfurt.de
  • tolos@ice.csic.es

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Issue

Vol. 105, Iss. 4 — 15 February 2022

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