Spherical collapse model and cluster number counts in power law $f(T)$ gravity

Abstract

We study the spherical collapse model (SCM) in the framework of spatially flat power law $f(T)\propto (-T{)}^b$ gravity model. We find that the linear and non-linear growth of spherical overdensities of this particular $f(T)$ model are affected by the power-law parameter $b$. Finally, we compute the predicted number counts of virialized haloes in order to distinguish the current $f(T)$ model from the expectations of the concordance $\Lambda$ cosmology. Specifically, the present analysis suggests that the $f(T)$ gravity model with positive (negative) $b$ predicts more (less) virialized objects with respect to those of $\Lambda$CDM.

9 pages, 7 figures, accepted in MNRAS

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• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• No constraints for $f(T)$ gravity from gravitational waves induced from primordial black hole fluctuations
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Updating constraints on phantom crossing $f(T)$ gravity
• Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity
• Spherical Collapse Approach for Non-standard Dark Matter Models and Enhanced Early Galaxy Formation in JWST
• Explaining JWST star formation history at $z\sim 17$ by modifying $\Lambda$CDM
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Structure formation in a non-canonical scalar field model of clustering dark energy