On the time-dependent density of quadratically coupled dark matter around ordinary matter objects

Fuente: arXiv
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Hauptverfasser: Burrage, Clare, Elder, Benjamin, del Castillo, Yeray Garcia, Jaeckel, Joerg
Format: Preprint
Veröffentlicht: 2024
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author Burrage, Clare
Elder, Benjamin
del Castillo, Yeray Garcia
Jaeckel, Joerg
author_facet Burrage, Clare
Elder, Benjamin
del Castillo, Yeray Garcia
Jaeckel, Joerg
contents Wave-like dark matter may feature quadratic couplings to ordinary matter. This carries profound consequences for the phenomenologies of such models. It changes the dark matter density around dense objects made from ordinary matter such as planets and stars, thereby changing the sensitivity of direct detection experiments on Earth as well as implying forces on other ordinary matter objects in the vicinity. In this note we study the time dependence of the dark matter field around spherical objects of ordinary matter. This work indicates the time-scale on which accelerating objects settle into a stationary state and delineates the applicability of stationary solutions for experimental dark matter tests. We also use this to understand (and effectively eliminate) the infinities in energies, forces, and pressures that appear when naively comparing the total energy around objects with different size but the same total number of ordinary matter particles.
format Preprint
id arxiv_https___arxiv_org_abs_2410_23350
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the time-dependent density of quadratically coupled dark matter around ordinary matter objects
Burrage, Clare
Elder, Benjamin
del Castillo, Yeray Garcia
Jaeckel, Joerg
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Wave-like dark matter may feature quadratic couplings to ordinary matter. This carries profound consequences for the phenomenologies of such models. It changes the dark matter density around dense objects made from ordinary matter such as planets and stars, thereby changing the sensitivity of direct detection experiments on Earth as well as implying forces on other ordinary matter objects in the vicinity. In this note we study the time dependence of the dark matter field around spherical objects of ordinary matter. This work indicates the time-scale on which accelerating objects settle into a stationary state and delineates the applicability of stationary solutions for experimental dark matter tests. We also use this to understand (and effectively eliminate) the infinities in energies, forces, and pressures that appear when naively comparing the total energy around objects with different size but the same total number of ordinary matter particles.
title On the time-dependent density of quadratically coupled dark matter around ordinary matter objects
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2410.23350