Spherical collapse and the halo model in braneworld gravity

2009/11/30 by Fabian Schmidt, Wayne Hu, Marcos Lima +1 · 4 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dark matter #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gravitation #Gravitational collapse #Halo #Halo mass function #Matter power spectrum #Perturbation (astronomy) #Physics #Quantum mechanics #Theoretical physics #Virial theorem #astro-ph.CO

paper · pdf · doi:10.1103/physrevd.81.063005

published as Phys.Rev.D81:063005,2010 · 20 pages, 16 figures; v2: minor addition to appendix; matches published version; v3: typos in Eqs. (20), (23) corrected

arxiv created 2010/03/03 · openalex publication_date 2010/03/15 · arxiv updated 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a detailed study of the collapse of a spherical perturbation in Dvali-Gabadadze-Porrati (DGP) braneworld gravity for the purpose of modeling simulation results for the halo mass function, bias, and matter power spectrum. The presence of evolving modifications to the gravitational force in the form of the scalar brane-bending mode leads to qualitative differences to the collapse in ordinary gravity. In particular, differences in the energetics of the collapse necessitate a new, generalized method for defining the virial radius which does not rely on strict energy conservation. These differences and techniques apply to smooth dark energy models with w\ensuremath≠\ensuremath-1 as well. We also discuss the impact of the exterior of the perturbation on collapse quantities due to the lack of a Birkhoff theorem in DGP. The resulting predictions for the mass function, halo bias, and power spectrum are in good overall agreement with DGP N-body simulations on both the self-accelerating and normal branch. In particular, the impact of the Vainshtein mechanism as measured in the full simulations is matched well. The model and techniques introduced here can serve as practical tools for placing consistent constraints on braneworld models using observations of large-scale structure.

Citations

• Nonlinear interactions in a cosmological background in the Dvali-Gabadadze-Porrati braneworld
• Structure formation in the Dvali–Gabadadze–Porrati cosmological model
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• Degravitation of the Cosmological Constant and Graviton Width
• Cosmological constraints on DGP braneworld gravity with brane tension
• Challenges to the DGP model from horizon-scale growth and geometry
• The galileon as a local modification of gravity
• Large-scale structure in brane-induced gravity. I. Perturbation theory
• Self-Consistent Cosmological Simulations of DGP Braneworld Gravity

Cited by

• Universality of the halo mass function in modified gravity cosmologies
• The Halo Void (Dust) Model of large scale structure
• Testing Brans-Dicke gravity with screening by scalar gravitational wave memory
• Modeling the phase-space distribution around massive halos