Routing protocol

Derivative (finance)

Physics

Gravitational microlensing

Dark matter

LIGO

Computer network

Mathematics

Mathematical physics

Black hole (networking)

Link-state routing protocol

Galaxy

Financial economics

Statistics

Engineering

Coupling (piping)

Spectral density

Inflaton

Economics

Primordial black hole

Gravitational wave

Curvature

Inflation (cosmology)

Geometry

Theoretical physics

Computer science

Astrophysics

Routing (electronic design automation)

Binary black hole

Mechanical engineering

Physical review. D/Physical review. D.

We propose a novel enhancement mechanism of the curvature perturbations in the nonminimal derivative coupling inflation model with a coupling parameter related to the inflaton field. By considering a special form of the coupling parameter as a function of the inflaton, a period of ultra-slow-roll inflation can be realized due to the gravitationally enhanced friction, and the resulting power spectrum of the curvature perturbations has a sharp peak, which is large enough to produce the primordial black holes. Under this mechanism, we can easily obtain a sharp mass spectrum of primordial black holes around specific masses such as $\mathcal{O}(10)\text{ }{M}_{\ensuremath{\bigodot}}$, $\mathcal{O}({10}^{\ensuremath{-}5})\text{ }{M}_{\ensuremath{\bigodot}}$, and $\mathcal{O}({10}^{\ensuremath{-}12})\text{ }{M}_{\ensuremath{\bigodot}}$, which can explain the LIGO events, the ultrashort-timescale microlensing events in OGLE data, and the most of dark matter, respectively.

Primordial black holes from inflation with nonminimal derivative coupling