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It is widely accepted that the primordial universe experienced a brief periodof accelerated expansion called inflation. This scenario provides a plausiblesolution to the horizon and flatness problems. However, the particle physicsmechanism responsible for inflation remains speculative with, in particular ,the assumption of a scalar field called inflaton. Furthermore, the comparisonwith the most recent data raises new questions that encourage the considerationof alternative hypotheses. Here, we propose a completely different scenariobased on a mechanism whose origins lie in the nonlin-earities of the Einsteinfield equations. We use the analytical results of weak gravitational waveturbulence to develop a phenomenological theory of strong gravitational waveturbulence where the inverse cascade of wave action plays a key role. In thisscenario, the space-time metric excitation triggers an explosive inversecascade followed by the formation of a condensate in Fourier space whose growthis interpreted as an expansion of the universe. Contrary to the idea thatgravitation can only produce a decelerating expansion, our study reveals thatgravitational wave turbulence could be a source of inflation. The fossilspectrum that emerges from this scenario is shown to be in agreement with thecosmic microwave background radiation measured by the Planck mission.

A plausible model of inflation driven by strong gravitational wave turbulence