Linear and nonlinear clusterings of Horndeski-inspired dark energy models with fast transition


Luongo O. Pace F. Tomasi S.
15 October 2024American Physical Society

Physical Review D
2024#110Issue 8

We analyze time-dependent dark energy equations of state through linear and nonlinear structure formation and their quintessence potentials, characterized by fast, recent transitions, inspired by parameter space studies of selected classes of the more general Horndeski models. The influence of dark energy on structures comes from modifications to the background expansion rate and from perturbations as well. In order to compute the structures growth, we employ a generalization of the spherical collapse formalism that includes perturbations of fluids with pressure. We numerically solve the equations of motion for the perturbations and the field. Our analysis suggests that a true Heaviside step transition is a good approximation for most of the considered models, since most of the quantities weakly depend on the transition speed. We find that transitions occurring at redshifts zt≳2 cannot be distinguished from the ΛCDM model if dark energy is freezing, i.e., the corresponding equation of state tends to -1. For fast, recent transitions, the redshift at which the properties of dark energy have the most significant effect is z=0.6±0.2. We also find that in the freezing regime, the σ8 values can be lowered by about 8%, suggesting that those models could relieve the σ8-tension. Additionally, freezing models generally predict faster late-time merging rates but a lower number of massive galaxies at z=0. Finally, the nonlinear matter power spectrum for smooth dark energy shows a valley centered in k≈1h Mpc-1 which in the clustering case is replaced by a sharp increase for k≳0.2h Mpc-1 and a peak at k≈2h Mpc-1.



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Università di Camerino, Divisione di Fisica, Via Madonna delle Carceri, 62032, Italy
Department of Mathematics and Physics, SUNY Polytechnic Institute, Utica, 13502, NY, United States
Istituto Nazionale di Astrofisica (INAF), Osservatorio Astronomico di Brera, Milano, 20121, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia, Perugia, 06123, Italy
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Dipartimento di Fisica, Università Degli Studi di Torino, Via P. Giuria 1, Torino, 10125, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Torino, Torino, 10125, Italy
Istituto Nazionale di Astrofisica (INAF), Osservatorio Astrofisico di Torino, Pino Torinese, 10125, Italy

Università di Camerino
Department of Mathematics and Physics
Istituto Nazionale di Astrofisica (INAF)
Istituto Nazionale di Fisica Nucleare (INFN)
Al-Farabi Kazakh National University
Dipartimento di Fisica
Istituto Nazionale di Fisica Nucleare (INFN)
Istituto Nazionale di Astrofisica (INAF)

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