https://doi.org/10.1140/epjc/s10052-022-10234-y
Regular Article - Theoretical Physics
Can dark matter–dark energy interaction alleviate the cosmic coincidence problem?
1
Instituto de Ciências e Engenharia, Universidade Estadual Paulista (UNESP), R. Geraldo Alckmin 519, 18409-010, Itapeva, SP, Brazil
2
Departamento de Física, Faculdade de Engenharia de Guaratinguetá, Universidade Estadual Paulista (UNESP), Av. Dr. Ariberto Pereira da Cunha 333, 12516-410, Guaratinguetá, SP, Brazil
Received:
19
August
2021
Accepted:
20
March
2022
Published online:
30
March
2022
In this paper we study a model of interacting dark energy–dark matter where the ratio between these components is not constant, changing from early to late times in such a way that the model can solve or alleviate the cosmic coincidence problem (CP). The interaction arises from an assumed relation of the form 
, where 
and 
are the energy densities of dark energy and dark matter components, respectively, and 
is a free parameter. For a dark energy equation of state parameter 
we found that, if 
, the standard 
CDM model is recovered, where the coincidence problem is unsolved. For 
, the CP would be alleviated and for 
, the CP would be solved. The dark energy component is analyzed with both and 
. Using Supernovae type Ia and Hubble parameter data constraints, in the case we find 
at 68% C.L., and the CP is alleviated. For , a degeneracy arises on the w– plane. In order to break such degeneracy we add cosmic microwave background distance priors and baryonic acoustic oscillations data to the constraints, yielding 
at 68% C.L.. In this case we find that the CP is not alleviated even for 2
interval for . Furthermore, this last model is discarded against flat CDM according to BIC analysis.
© The Author(s) 2022
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