Induced gravitational wave background and primordial black holes

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.023517· OSTI ID:21409050

Bugaev, Edgar; Klimai, Peter ^[1]

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1. Institute for Nuclear Research, Russian Academy of Sciences, 60th October Anniversary Prospect 7a, 117312 Moscow (Russian Federation)

We calculate the frequency dependence of the gravitational wave background arising at second order of cosmological perturbation theory due to mixing of tensor and scalar modes. The calculation of the induced gravitational background is performed for two special cases: for the power spectrum of scalar perturbations which has a peak at some scale and for the scalar spectrum predicted by the inflationary model with the running mass potential. We show that the amplitudes of the induced gravitational background, in the frequency region {approx}10{sup -3}-10{sup 3} Hz, are effectively constrained by results of studies of primordial black hole production in the early universe. We argue that though today's LIGO bound on P{sub R}(k) is weaker than the primordial black hole one, Advanced LIGO will be able to set a stronger bound, and in the future the ground-based interferometers of the LIGO type will be suitable for obtaining constraints on primordial black holes number density in the mass range {approx}10{sup 11}-10{sup 15} g.

• OSTI ID: 21409050
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
AMPLITUDES
BLACK HOLES
COMPUTERIZED SIMULATION
DENSITY
DISTURBANCES
FREQUENCY DEPENDENCE
GRAVITATIONAL WAVES
INTERFEROMETERS
MASS
MEASURING INSTRUMENTS
MIXING
PERTURBATION THEORY
PHYSICAL PROPERTIES
SIMULATION
SPECTRA
UNIVERSE