Abstract
The today’s energy density of the induced (second order) gravitational wave background in the frequency region ∼10−3–103 Hz is constrained using the existing limits on primordial black hole production in the early Universe. It is shown, in particular, that at frequencies near ∼40 Hz (which is the region explored by LIGO detector), the value of the induced part of ΩGW cannot exceed (1−3) × 10−7. The spread of values of the bound is caused by the uncertainty in parameters of the gravitational collapse of black holes.
Similar content being viewed by others
References
S. Matarrese, O. Pantano, and D. Saez, Phys. Rev. Lett. 72, 320 (1994), arXiv:astro-ph/9310036.
S. Matarrese, S. Mollerach, and M. Bruni, Phys. Rev. D 58, 043504 (1998), arXiv:astro-ph/9707278.
C. Carbone and S. Matarrese, Phys. Rev. D 71, 043508 (2005), arXiv:astro-ph/0407611.
S. Mollerach, D. Harari, and S. Matarrese, Phys. Rev. D 69, 063002 (2004) [arXiv:astro-ph/0310711].
K. N. Ananda, C. Clarkson, and D. Wands, Phys. Rev. D 75, 123518 (2007) [arXiv:gr-qc/0612013].
D. Baumann, P. J. Steinhardt, K. Takahashi, and K. Ichiki, Phys. Rev. D 76, 084019 (2007), arXiv:hepth/0703290.
R. Saito and J. Yokoyama, Phys. Rev. Lett. 102, 161101 (2009), arXiv:0812.4339 [astro-ph].
E. Bugaev and P. Klimai, arXiv:0908.0664 [astroph.CO].
B. J. Carr, Astrophys. J. 201, 1 (1975).
M. Y. Khlopov and A. G. Polnarev, Phys. Lett. B 97, 383 (1980); A. G. Polnarev and M. Y. Khlopov, Sov. Astron. 26, 391 (1983); Sov. Phys. Usp. 28, 213 (1985).
M. Y. Khlopov, arXiv:0801.0116 [astro-ph].
E. Bugaev and P. Klimai, Phys. Rev. D 79, 103511 (2009), arXiv:0812.4247 [astro-ph].
A. S. Josan, A. M. Green, and K. A. Malik, Phys. Rev. D 79, 103520 (2009), arXiv:0903.3184 [astro-ph.CO].
E. Bugaev and P. Klimai, Phys. Rev. D 78, 063515 (2008), arXiv:0806.4541 [astro-ph].
D. Lindley, Mon. Not. R. Astron. Soc. 193, 593 (1980).
D. Clancy, R. Guedens, and A. R. Liddle, Phys. Rev. D 68, 023507 (2003), arXiv:astro-ph/0301568.
H. Tashiro and N. Sugiyama, Phys. Rev. D 78, 023004 (2008), arXiv:0801.3172 [astro-ph].
Ya. B. Zeldovich, A. A. Starobinsky, M. Yu. Khlopov, and V. M. Chechetkin, Sov. Astron. Lett. 3, 110 (1977).
A. A. Starobinsky, JETP Lett. 30, 682 (1979).
L. P. Grishchuk, Sov. Phys. JETP 40, 409 (1975).
V. A. Rubakov, M. V. Sazhin, and A. V. Veryaskin, Phys. Lett. B 115, 189 (1982).
R. Fabbri and M. D. Pollock, Phys. Lett. B 125, 445 (1983).
L. F. Abbott and M. B. Wise, Nucl. Phys. B 244, 541 (1984).
A. A. Starobinsky, Sov. Astron. Lett. 11, 133 (1985).
B. Allen, E. E. Flanagan, and M. A. Papa, Phys. Rev. D 61, 024024 (2000), arXiv:gr-qc/9906054.
T. L. Smith, M. Kamionkowski, and A. Cooray, Phys. Rev. D 73, 023504 (2006), arXiv:astro-ph/0506422.
S. Y. Khlebnikov and I. I. Tkachev, Phys. Rev. D 56, 653 (1997), arXiv:hep-ph/9701423.
R. Easther and E. A. Lim, JCAP 0604, 010 (2006), arXiv:astro-ph/0601617.
J. F. Dufaux, A. Bergman, G. N. Felder, et al., Phys. Rev. D 76, 123517 (2007),arXiv:0707.0875 [astro-ph].
J. F. Dufaux, G. N. Felder, L. Kofman, and O. Navros, JCAP 0903, 001 (2009), arXiv:0812.2917 [astro-ph].
J. Garcia-Bellido, D. G. Figueroa, and A. Sastre, Phys. Rev. D 77, 043517 (2008), arXiv:0707.0839 [hep-ph].
J. F. Dufaux, Phys. Rev. Lett. 103, 041301 (2009), arXiv:0902.2574 [astro-ph.CO].
J. F. Dufaux, private communication.
C. Grojean and G. Servant, Phys. Rev. D 75, 043507 (2007), arXiv:hep-ph/0607107.
C. J. Hogan, Phys. Rev. D 74, 043526 (2006), arXiv:astro-ph/0605567.
M. R. DePies and C. J. Hogan, Phys. Rev. D 75, 125006 (2007), arXiv:astro-ph/0702335.
M. Gasperini and G. Veneziano, Phys. Rept. 373, 1 (2003), arXiv:hep-th/0207130.
M. Gasperini, arXiv:hep-th/9907067.
C. J. Hogan, Phys. Rev. Lett. 85, 2044 (2000), arXiv:astro-ph/0005044.
G. S. Bisnovatyi-Kogan and V. N. Rudenko, Class. Quant. Grav. 21, 3347 (2004), arXiv:gr-qc/0406089.
R. Anantua, R. Easther, and J. T. Giblin, Phys. Rev. Lett. 103, 111303 (2009), arXiv:0812.0825 [astro-ph].
V. F. Schwarztmann, JETP Lett. 9, 184 (1969).
R. Brustein, M. Gasperini, and G. Veneziano, Phys. Rev. D 55, 3882 (1997), arXiv:hep-th/9604084.
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Bugaev, E.V., Klimai, P.A. Bound on induced gravitational wave background from primordial black holes. Jetp Lett. 91, 1–5 (2010). https://doi.org/10.1134/S0021364010010017
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364010010017