Curvature Singularities from Gravitational Contraction in f(R) Gravity

Abstract

The discovery of the accelerated expansion of the Universe has had a vast resonance on a number of physical disciplines. In recent years several viable modified gravity models have been proposed, which naturally lead to a late-time de Sitter stage while basically reducing to General Relativity in the early Universe. We consider a contracting cloud of pressureless dust, having arbitrary mass and initial density, and discuss some aspects of these modified gravity models. We show how the increasing energy/mass density may lead to a curvature singularity and discuss the typical timescales for its development.

12 pages, 7 figures. Major changes from previous version. Accepted for publication in PRD

References in corpus (13)

• Cosmology and the Fate of Dilatation Symmetry
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Conditions for the cosmological viability of f(R) dark energy models
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Matter instability in modified gravity
• Stability of Cosmological Solution in f(R) Models of Gravity
• A Singularity Problem with f(R) Dark Energy
• Relativistic stars in f(R) gravity, and absence thereof
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Aspects of cosmological expansion in F(R) gravity models
• Stability of spherically symmetric solutions in modified theories of gravity
• Curvature Oscillations in Modified Gravity and High Energy Cosmic Rays

Cited by in corpus (15)

• Modified gravity with logarithmic curvature corrections and the structure of relativistic stars
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Dynamical Instability of Spherical Anisotropic Sources in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Cosmological acceleration
• $\text{fRevolution}$ $-$ Relativistic Cosmological Simulations in $f(R)$ Gravity I: Methodology
• Spherically Symmetric Solutions in F(R) Gravity and Gravitational Repulsion
• Intrinsic problems of gravitational baryogenesis
• Particle Production in f(R) Gravity during Structure Formation
• Modeling and Analyzing Stability of Hybrid Stars within $f(Q)$ Gravity
• Gravitational instability in oscillating background
• Curvature Singularity in f(R) Theories of Gravity
• Viability of Arctan Model of f(R) Gravity for Late-time Cosmology
• Cosmic ray production in modified gravity
• A New f(R) Model in the Light of Local Gravity Test and Late-time Cosmology