https://doi.org/10.1140/epjp/i2018-12337-x
Regular Article
Inflationary gravitational waves from unified spinor fields
1
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina
2
Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina
* e-mail: mbellini@mdp.edu.ar
Received:
21
May
2018
Accepted:
20
October
2018
Published online:
11
December
2018
Recent observations of Gravitational Waves (GW) generated by black-hole collisions have opened a new window to explore the universe in diverse scales. Detection of primordial gravitational waves is expected to happen in the next years. However, the standard theory to describe these effects was developed for weak gravitational waves, when their dynamics can be linearized. In this work we develop a non-perturbative formalism to describe GW using the Unified Spinor Fields (USF) theory. The tensor index is calculated and we obtain that it must be , in order for the + and × polarisations modes to have the same spectrum. This imposes some restriction on the constant of self-interaction
of the fermionic source. The most relevant result here obtained is that the intensity of energy density for GW during inflation is
, where m is the mass of the spin-(1/2 fermionic fields and H the Hubble parameter during inflation. This cut imposes restrictions on the mass of these fields:
.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018