Structure formation in mimetic gravity

We disclose the effects of an extra longitudinal degree freedom on evolution perturbations in framework mimetic gravity. consider a flat Friedmann-Robertson-Walker background and explore linear by adopting spherically symmetric collapse formalism. By suitably choosing potential field, we are able to solve perturbed field equations regime derive matter density contrast ${\ensuremath{\delta}}_{m}$ terms redshift parameter $z$. observe that starts growing at early stages and, as Universe expands, it grows faster compared standard cosmology. This may due gravitational which affects growth perturbations. presence potential, rate function is smaller than $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ model small redshifts. then this abundance, deceleration jerk parameter. find out can play role dark energy (DE) dynamics cosmological parameters. also investigate mass number count for collapsed objects scenario. models with without potential. With decreasing DE, grow redshifts; i.e., halo abundance formed later. It found more massive structures less abundant form later times, should be hierarchical structure formation.