Extended primordial black hole mass functions with a spike

被引：1

作者：

Magana, J. ^{[1
]}

San Martin, M. ^{[2
]}

Sureda, J. ^{[3
]}

Rubio, M. ^{[4
,5
]}

Araya, I. ^{[6
,7
]}

Padilla, N. ^{[8
]}

机构：

[1] Univ Cent Chile, Escuela Ingn, Ave Francisco de Aguirre 0405, La Serena 1710164, Coquimbo, Chile

[2] Pontificia Univ Catolica Chile, Centro Astro Ingn, Vicu Mackenna 4860, Santiago, Chile

[3] Donostia Int Phys Ctr DIPC, Paseo Manuel de Lardizabal 4, E-20018 Donostia San Sebastian, Spain

[4] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[5] Univ IFPU, Inst Fundamental Phys, Via Beirut 2, I-34014 Trieste, Italy

[6] Univ Arturo Prat, ICEN, Ave Arturo Prat Chacon 2120, Iquique 1110939, Chile

[7] Univ Arturo Prat, Fac Ciencias, Ave Arturo Prat Chacon 2120, Iquique 1110939, Chile

[8] UNC, CONICET, IATE, Laprida 854,X5000BGR, Cordoba, Argentina

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2023年 / 520卷 / 03期

基金：

欧盟地平线“2020”; 欧洲研究理事会;

关键词：

theory; dark matter; SECONDARY GRAVITATIONAL-WAVES; DARK-MATTER; HYBRID INFLATION; CONSTRAINTS; THRESHOLD; FLUCTUATIONS; LIMITS; HALO;

D O I：

10.1093/mnras/stad261

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We introduce a modification of the Press-Schechter formalism aimed to derive general mass functions for primordial black holes (PBHs). In this case, we start from primordial power spectra (PPS) which include a monochromatic spike, typical of ultra slow-roll inflation models. We consider the PBH formation as being associated to the amplitude of the spike on top of the linear energy density fluctuations coming from a PPS with a blue index. By modelling the spike with a lognormal function, we study the properties of the resulting mass function spikes, and compare these to the underlying extended mass distributions. When the spike is at PBH masses, which are much lower than the exponential cut-off of the extended distribution, very little mass density is held by the PBHs within the spike, and it is not ideal to apply the Press-Schechter formalism in this case as the resulting characteristic overdensity is too different from the threshold for collapse. It is more appropriate to do so when the spike mass is similar to, or larger than the cut-off mass. Additionally, it can hold a similar mass density as the extended part. Such particular mass functions also contain large numbers of small PBHs, especially if stable PBH relics are considered, and they can provide similar to 1000 M-circle dot seeds for the supermassive black holes at the centres of present-day galaxies. The constraints on the fraction of dark matter in PBHs for monochromatic mass functions are somewhat relaxed when there is an additional underlying extended distribution of masses.

引用

页码：4276 / 4288

页数：13

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