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Constraints from Observational Data for a Running Cosmological Constant and Warm Dark Matter with Curvature

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Abstract

It is known than the inclusion of spatial curvature can modify the evolution of matter perturbations and affect the Large Scale Structure (LSS) formation. We quantify the effects of the nonzero spatial curvature in terms of LSS formation for a cosmological model with a running vacuum energy density and a warm dark matter component. The evolution of density perturbations and the modified shape of their power spectrum are constructed and analyzed.

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Notes

  1. Here and from now on we use the notations \(\Omega_{i}(z)=\rho_{i}(z)/\rho^{0}_{c}\), where \(\rho^{0}_{c}=3H_{0}^{2}/(8\pi G)\). It is easy to see that this is the density relative to the critical density at \(a_{0}\), that means nowadays, and not to the time-dependent density.

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Funding

J.A. Agudelo Ruiz thanks CAPES for supporting his PhD project. J. C. Fabris thanks Fundaзão de Amparo á Pesquisa e Inovaзão do Espírito Santo (FAPES, project number 80598935/17) and Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, grant number 304521/2015-9) for partial support. This work of I.Sh. was partially supported by CNPq under the grant 303635/2018-5.

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Authors and Affiliations

  1. Núcleo Cosmo-UFES & PPGCosmo, Departamento de Física, Universidade Federal do Espírito Santo, 29075-910, ES, Vitória, Brazil

    Jhonny A. Agudelo Ruiz, Júlio C. Fabris & Alan M. Velasquez-Toribio

  2. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-100, MG, Juiz de Fora, Brazil

    Jhonny A. Agudelo Ruiz & Ilya L. Shapiro

  3. National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409, Russia

    Júlio C. Fabris

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  1. Jhonny A. Agudelo Ruiz
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  2. Júlio C. Fabris
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  3. Alan M. Velasquez-Toribio
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  4. Ilya L. Shapiro
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Correspondence to Jhonny A. Agudelo Ruiz, Júlio C. Fabris, Alan M. Velasquez-Toribio or Ilya L. Shapiro.

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Agudelo Ruiz, J.A., Fabris, J.C., Velasquez-Toribio, A.M. et al. Constraints from Observational Data for a Running Cosmological Constant and Warm Dark Matter with Curvature. Gravit. Cosmol. 26, 316–325 (2020). https://doi.org/10.1134/S0202289320040106

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