Black holes immersed in dark matter: Energy condition and sound speed

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Sayak Datta

Organisationseinheiten

Externe Organisationen

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer104042
Seitenumfang17
FachzeitschriftPhysical Review D
Jahrgang109
Ausgabenummer10
PublikationsstatusVeröffentlicht - 13 Mai 2024

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.

ASJC Scopus Sachgebiete

Zitieren

Black holes immersed in dark matter: Energy condition and sound speed. / Datta, Sayak.
in: Physical Review D, Jahrgang 109, Nr. 10, 104042, 13.05.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Datta S. Black holes immersed in dark matter: Energy condition and sound speed. Physical Review D. 2024 Mai 13;109(10):104042. doi: 10.48550/arXiv.2312.01277, 10.1103/PhysRevD.109.104042
Download
@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",

}

Download

TY - JOUR

T1 - Black holes immersed in dark matter

T2 - Energy condition and sound speed

AU - Datta, Sayak

N1 - Publisher Copyright: © 2024 authors. Published by the American Physical Society.

PY - 2024/5/13

Y1 - 2024/5/13

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85192900080&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2312.01277

DO - 10.48550/arXiv.2312.01277

M3 - Article

AN - SCOPUS:85192900080

VL - 109

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 10

M1 - 104042

ER -