Extended primordial black hole mass functions with a spike

Magaña, Juan; Martín, Marco San; Sureda, Joaquín; E., Rubio, Marcelo; Araya, Ignacio J.; Padilla, Nelson

doi:10.48550/arxiv.2207.13689

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“…To the best of our knowledge, the SIGW background associated to PBH Poisson fluctuations was studied within the context of monochromatic PBH mass functions with the transition from the PBH-dominated era to the RD era being well approximated as instantaneous [33,44,46]. However, one should go to more realistic regimes where PBHs are formed with different masses [3,[47][48][49][50][51] and see the effect on the respective SIGW background.…”

Section: Jcap10(2022)089mentioning

confidence: 99%

Gravitational waves induced from primordial black hole fluctuations: the effect of an extended mass function

Papanikolaou

2022

J. Cosmol. Astropart. Phys.

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The gravitational potential of initially Poisson distributed primordial black holes (PBH) can induce a stochastic gravitational-wave background (SGWB) at second order in cosmological perturbation theory. This SGWB was previously studied in the context of general relativity (GR) and modified gravity setups by assuming a monochromatic PBH mass function. Here we extend the previous analysis in the context of GR by studying the aforementioned SGWB within more physically realistic regimes where PBHs have different masses. In particular, starting from a power-law cosmologically motivated primordial curvature power spectrum with a running spectral index we extract the extended PBH mass function and the associated to it PBH gravitational potential which acts as the source of the scalar induced SGWB. At the end, by taking into account the dynamical evolution of the PBH gravitational potential during the transition from the matter era driven by PBHs to the radiation era we extract the respective GW signal today. Interestingly, in order to trigger an early PBH-dominated era and avoid the GW constraints at BBN we find that the running of the spectral index αs of our primordial curvature power spectrum should be within the narrow range αs ⋲ [3.316,3.355] × 10-3 while at the same time the GW signal is found to be potentially detectable by LISA.

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Section: Jcap10(2022)089mentioning

confidence: 99%

Gravitational waves induced from primordial black hole fluctuations: the effect of an extended mass function

Papanikolaou

2022

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

show abstract

Extended primordial black hole mass functions with a spike

Cited by 1 publication

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Gravitational waves induced from primordial black hole fluctuations: the effect of an extended mass function

Gravitational waves induced from primordial black hole fluctuations: the effect of an extended mass function

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