Black holes immersed in dark matter

Energy condition and sound speed

verfasst von: Sayak Datta
Abstract: In this work, we study the impact of the environment around a black hole in detail. We introduce nonvanishing radial pressure in a manner analogous to compact stars. We examine both isotropic and anisotropic fluid configurations with and without radial pressure respectively. Our focus extends beyond just dark matter density to the vital role of the energy condition and sound speed in the spacetime of a black hole immersed in matter. In cases of anisotropic pressure with vanishing radial pressure, all profiles violate the dominant energy condition near the BH, and the tangential sound speed exceeds light speed for all dark matter profiles. In our second approach, without assuming vanishing radial pressure, we observe similar violations and superluminal sound speeds. To rectify this, we introduce a hard cutoff for the sound speed, ensuring it remains subluminal. As a consequence, the energy condition is also satisfied. However, this results in increased density and pressure near the BH. This raises questions about the sound speed and its impact on the density structure, as well as questions about the validity of the model itself. With the matter distribution, we also compute the metric for different configurations. It reveals sensitivity to the profile structure. The metric components point toward the horizon structure.
Organisationseinheit(en): Institut für Gravitationsphysik
Externe Organisation(en): Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
Typ: Artikel
Journal: Physical Review D
Band: 109
Anzahl der Seiten: 17
ISSN: 2470-0010
Publikationsdatum: 13.05.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Kern- und Hochenergiephysik
Elektronische Version(en): https://doi.org/10.48550/arXiv.2312.01277 (Zugang: Offen)
https://doi.org/10.1103/PhysRevD.109.104042 (Zugang: Offen)

BibTeX

@article{74af3c3196994811a9e9953ed2ab7b20,
title = "Black holes immersed in dark matter: Energy condition and sound speed",
abstract = "In this work, we study the impact of the environment around a black hole in detail. We introduce nonvanishing radial pressure in a manner analogous to compact stars. We examine both isotropic and anisotropic fluid configurations with and without radial pressure respectively. Our focus extends beyond just dark matter density to the vital role of the energy condition and sound speed in the spacetime of a black hole immersed in matter. In cases of anisotropic pressure with vanishing radial pressure, all profiles violate the dominant energy condition near the BH, and the tangential sound speed exceeds light speed for all dark matter profiles. In our second approach, without assuming vanishing radial pressure, we observe similar violations and superluminal sound speeds. To rectify this, we introduce a hard cutoff for the sound speed, ensuring it remains subluminal. As a consequence, the energy condition is also satisfied. However, this results in increased density and pressure near the BH. This raises questions about the sound speed and its impact on the density structure, as well as questions about the validity of the model itself. With the matter distribution, we also compute the metric for different configurations. It reveals sensitivity to the profile structure. The metric components point toward the horizon structure.",
author = "Sayak Datta",
note = "Publisher Copyright: {\textcopyright} 2024 authors. Published by the American Physical Society. ",
year = "2024",
month = may,
day = "13",
doi = "10.48550/arXiv.2312.01277",
language = "English",
volume = "109",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "10",
}