Eur. Phys. J. Special Topics 229, 2079–2116 (2020)
https://doi.org/10.1140/epjst/e2020-900271-x

Review

Cosmology with mass dimension one fields: recent developments

¹ Universidade Estadual Paulista (UNESP), Faculdade de Engenharia de Guaratinguetá, Departamento de Física e Química, Guaratinguetá, SP 12516-410, Brazil
² Universidade Estadual Paulista (UNESP), Instituto de Ciência e Tecnologia, São José dos Campos, SP 12247-004, Brazil
³ Instituto Federal do Paraná, Campus Ivaiporã, Ivaiporã, PR 86870-000, Brazil
⁴ Universidade Estadual Paulista (UNESP), Campus Experimental de Itapeva – R. Geraldo Alckmin, 519, 18409-010, Itapeva, SP, Brazil
⁵ Instituto de Pesquisas Energéticas e Nucleares (IPEN) – Av. Professor Lineu Prestes, 2242, 05508-000 São Paulo, SP, Brazil

^a e-mail: s.pereira@unesp.br

Received: 29 November 2019
Accepted: 22 July 2020
Published online: 21 September 2020

Abstract

The recent developments with mass dimension one fermionic fields in a cosmological context are briefly presented. The main results for inflation, dark matter, dark energy, cosmological perturbations, particle creation and interacting models are discussed. The Friedmann–Robertson–Walker equations for both torsion and torsion free cases are compared and discussed in different scenarios. We review and call attention for some important assumptions made on derivation of the motion equations. Other approaches and generalizations are suggested and some limitations are presented.