Inflationary gravitational waves from unified spinor fields

LUIS SANTIAGO RIDAO; MARCOS R. A. ARCODÍA; JESÚS MARTÍN ROMERO; MAURICIO BELLINI

European Physical Journal Plus

Springer

Lugar: Bologna; Año: 2018 vol. 133 p. 507 - 516

Recent observations of Gravitational Waves (GW) generated by black-holecollisions have opened a new window to explore the universe in diverse scales.Detection of primordial gravitational waves is expected to happen in the nextyears. However, the standard theory to describe these effects was developed forweak gravitational waves, when their dynamics can be linearized. In this workwe develop a non-perturbative formalism to describe GW using the Unified SpinorFields (USF) theory. The tensor index is calculated and we obtain that it mustbe 0.0283<nT<0.0407, in order for the + and × polarisationsmodes to have the same spectrum. This imposes some restriction on the constantof self-interaction 3.0018<ξ2<3.0025 of the fermionic source. Themost relevant result here obtained is that the intensity of energy density forGW during inflation is 1.25×10−4(mH)2<ΩGW<1.75×10−4(mH)2, where mis the mass of the 1/2-spin fermionic fields and H the Hubble parameterduring inflation. This cut imposes restrictions on the mass of these fields:(mH)2≲1.1h20×10−11.