Papers
Topics
Authors
Recent
Search
2000 character limit reached

Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes

Published 29 Aug 2023 in gr-qc | (2308.15371v3)

Abstract: In this work, we explore the effects of surrounding dark matter featuring different equations of state on the axial gravitational quasinormal modes of supermassive black holes situated at the center of galaxies. Our attention primarily rests on dark matter exhibiting a spike structure, originating from relativistic Bondi accretion through an adiabatic process, which diminishes at a certain distance from the black hole. We analyze how varying the equation of state of the dark matter influences the properties of the spacetime in the black hole's vicinity. Our findings reveal that different states of dark matter spikes correspondingly affect the black hole's quasinormal modes. In particular, we identify deviations in both the ringing frequency and damping time, reaching magnitudes of up to $10{-3}$ for certain parameter values. These variations can potentially be detected by upcoming space-borne detectors. Our findings thus indicate the feasibility of discerning and limiting the essential properties of dark matter surrounding supermassive black holes using future gravitational wave detections, particularly in the case of extreme mass ratio inspiral systems.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (46)
  1. A. Einstein, Die feldgleichungen der gravitation, Sitzungsberichte der Königlich Preußischen Akademie der Wissenschaften (Berlin) , 844 (1915).
  2. Gravitational wave open science center, https://www.gw-openscience.org/eventapi/html/allevents/ (2023).
  3. K. Schwarzschild, Über das Gravitationsfeld einer Kugel aus inkompressibler Flüssigkeit nach der Einsteinschen Theorie, in Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin (1916) pp. 424–434.
  4. S. Chandrasekhar and K. S. Thorne, The mathematical theory of black holes (1985).
  5. K. D. Kokkotas and B. G. Schmidt, Quasi-normal modes of stars and black holes, Living Reviews in Relativity 2, 1 (1999).
  6. H.-P. Nollert, Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars, Classical and Quantum Gravity 16, R159 (1999).
  7. E. Berti, V. Cardoso, and A. O. Starinets, Quasinormal modes of black holes and black branes, Classical and Quantum Gravity 26, 163001 (2009).
  8. R. A. Konoplya and A. Zhidenko, Quasinormal modes of black holes: From astrophysics to string theory, Rev. Mod. Phys. 83, 793 (2011).
  9. F. Ferrer, A. Medeiros da Rosa, and C. M. Will, Dark matter spikes in the vicinity of kerr black holes, Phys. Rev. D 96, 083014 (2017).
  10. Z. Xu, J. Wang, and M. Tang, Deformed black hole immersed in dark matter spike, Journal of Cosmology and Astroparticle Physics 2021 (09), 007.
  11. K. Jusufi, M. Jamil, and T. Zhu, Shadows of sgr a*** black hole surrounded by superfluid dark matter halo, The European Physical Journal C 80, 354 (2020).
  12. E. Barausse, V. Cardoso, and P. Pani, Can environmental effects spoil precision gravitational-wave astrophysics?, Phys. Rev. D 89, 104059 (2014).
  13. E. Barausse, V. Cardoso, and P. Pani, Environmental effects for gravitational-wave astrophysics, Journal of Physics: Conference Series 610, 012044 (2015).
  14. H.-N. Lin and X. Li, The dark matter profiles in the Milky Way, Monthly Notices of the Royal Astronomical Society 487, 5679 (2019), https://academic.oup.com/mnras/article-pdf/487/4/5679/28897928/stz1698_supplemental_file.pdf .
  15. J. F. Navarro, C. S. Frenk, and S. D. M. White, A universal density profile from hierarchical clustering, The Astrophysical Journal 490, 493 (1997).
  16. P. Gondolo and J. Silk, Dark matter annihilation at the galactic center, Phys. Rev. Lett. 83, 1719 (1999).
  17. L. Sadeghian, F. Ferrer, and C. M. Will, Dark-matter distributions around massive black holes: A general relativistic analysis, Phys. Rev. D 88, 063522 (2013).
  18. C. Zhang, T. Zhu, and A. Wang, Gravitational axial perturbations of schwarzschild-like black holes in dark matter halos, Phys. Rev. D 104, 124082 (2021).
  19. R. Konoplya, Black holes in galactic centers: Quasinormal ringing, grey-body factors and unruh temperature, Physics Letters B 823, 136734 (2021).
  20. R. A. Konoplya and A. Zhidenko, Solutions of the einstein equations for a black hole surrounded by a galactic halo, The Astrophysical Journal 933, 166 (2022).
  21. R. G. Daghigh and G. Kunstatter, Spacetime metrics and ringdown waveforms for galactic black holes surrounded by a dark matter spike, The Astrophysical Journal 940, 33 (2022).
  22. H. Bondi, On spherically symmetrical accretion, Monthly Notices of the Royal Astronomical Society 112, 195 (1952).
  23. F. C. Michel, Accretion of matter by condensed objects, Astrophysics and Space Science 15, 153 (1972).
  24. C. B. Richards, T. W. Baumgarte, and S. L. Shapiro, Relativistic Bondi accretion for stiff equations of state, Monthly Notices of the Royal Astronomical Society 502, 3003 (2021), https://academic.oup.com/mnras/article-pdf/502/2/3003/39587439/stab161.pdf .
  25. V. D. Luca and J. Khoury, Superfluid dark matter around black holes, Journal of Cosmology and Astroparticle Physics 2023 (04), 048.
  26. X.-Y. Lu, Y.-J. Tan, and C.-G. Shao, Sensitivity functions for space-borne gravitational wave detectors, Phys. Rev. D 100, 044042 (2019).
  27. C. J. Moore, R. H. Cole, and C. P. L. Berry, Gravitational-wave sensitivity curves, Classical and Quantum Gravity 32, 015014 (2014).
  28. T. W. Baumgarte and S. L. Shapiro, Numerical relativity: solving Einstein’s equations on the computer (Cambridge University Press, 2010).
  29. J. A. H. Futterman, F. A. Handler, and R. A. Matzner, Scattering from black holes (Cambridge ; New York : Cambridge University Press, 1988).
  30. M. Davis, R. Ruffini, and J. Tiomno, Pulses of gravitational radiation of a particle falling radially into a schwarzschild black hole, Phys. Rev. D 5, 2932 (1972).
  31. J. E. Thompson, H. Chen, and B. F. Whiting, Gauge invariant perturbations of the schwarzschild spacetime, Classical and Quantum Gravity 34, 174001 (2017).
  32. A. Nagar and L. Rezzolla, Gauge-invariant non-spherical metric perturbations of schwarzschild black-hole spacetimes, Classical and Quantum Gravity 22, R167 (2005).
  33. C. V. Vishveshwara, Stability of the schwarzschild metric, Phys. Rev. D 1, 2870 (1970).
  34. T. Regge and J. A. Wheeler, Stability of a schwarzschild singularity, Phys. Rev. 108, 1063 (1957).
  35. H.-P. Nollert, About the significance of quasinormal modes of black holes, Phys. Rev. D53, 4397 (1996), arXiv:gr-qc/9602032 [gr-qc] .
  36. H.-P. Nollert and R. H. Price, Quantifying excitations of quasinormal mode systems, J. Math. Phys. 40, 980 (1999), arXiv:gr-qc/9810074 [gr-qc] .
  37. R. G. Daghigh, M. D. Green, and J. C. Morey, Significance of Black Hole Quasinormal Modes: A Closer Look, Phys. Rev. D101, 104009 (2020), arXiv:2002.07251 [gr-qc] .
  38. B. F. Schutz and C. M. Will, Black hole normal modes: a semianalytic approach, The Astrophysical Journal 291, L33 (1985).
  39. S. Iyer and C. M. Will, Black-hole normal modes: A wkb approach. i. foundations and application of a higher-order wkb analysis of potential-barrier scattering, Phys. Rev. D 35, 3621 (1987).
  40. R. A. Konoplya, Quasinormal behavior of the d𝑑ditalic_d-dimensional schwarzschild black hole and the higher order wkb approach, Phys. Rev. D 68, 024018 (2003).
  41. K. Lin and W.-L. Qian, A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de sitter spacetimes, Classical and Quantum Gravity 34, 095004 (2017).
  42. K. Lin and W.-L. Qian, High-order matrix method with delimited expansion domain (2022).
  43. K. Lin, Quasinormal modes and echo effect of a cylindrical anti–de sitter black hole spacetime with a thin shell, Phys. Rev. D 107, 124002 (2023).
  44. W. Israel, Nuovo cim b44s10 1, Erratum: ibid Nuovo Cim B 48, 463 (1966).
  45. E. Berti, V. Cardoso, and C. M. Will, Gravitational-wave spectroscopy of massive black holes with the space interferometer lisa, Phys. Rev. D 73, 064030 (2006).
  46. J. L. Jaramillo, R. P. Macedo, and L. A. Sheikh, Pseudospectrum and black hole quasinormal mode instability, Phys. Rev. X 11, 031003 (2021).
Citations (1)
View on Semantic Scholar

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Collections

Sign up for free to add this paper to one or more collections.

Sign Up

Tweets

Sign up for free to view the 1 tweet with 2 likes about this paper.

Sign Up for Free