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Spherical Collapse in f(R) Gravity

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arxiv 1102.4839 v1 pith:DDTD5CQM submitted 2011-02-23 astro-ph.CO gr-qc

Alex Borisov , Bhuvnesh Jain , Pengjie Zhang This is my paper · ORCID
classification astro-ph.COgr-qc
keywords collapsegravitysphericalfindnonlinearusedanalyticalapproximations
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abstract

We use 1-dimensional numerical simulations to study spherical collapse in the f(R) gravity models. We include the nonlinear coupling of the gravitational potential to the scalar field in the theory and use a relaxation scheme to follow the collapse. We find an unusual enhancement in density near the virial radius which may provide observable tests of gravity. We also use the estimated collapse time to calculate the critical overdensity $\delta_c$ used in calculating the mass function and bias of halos. We find that analytical approximations previously used in the literature do not capture the complexity of nonlinear spherical collapse.

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  1. Thermodynamics of $f(R)$ Theories

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Starting from a quadratic Einstein-frame potential, f(R) gravity is mapped onto a van der Waals-like thermodynamic system in which inflation appears as a metastable phase and its exit as a first-order phase transition.

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