Gravitational collapse in f(R) theories

Abstract

We study the gravitational collapse in modified gravitational theories. In particular, we analyze a general $f(R)$ model with uniformly collapsing cloud of self-gravitating dust particles. This analysis shares analogies with the formation of large-scale structures in the early Universe and with the formation of stars in a molecular cloud experiencing gravitational collapse. In the same way, this investigation can be used as a first approximation to the modification that stellar objects can suffer in these modified theories of gravity. We study concrete examples, and find that the analysis of gravitational collapse is an important tool to constrain models that present late-time cosmological acceleration.

10 pages, 6 figures

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Cited by in corpus (68)

• Testing General Relativity with Present and Future Astrophysical Observations
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Dynamics of scalar perturbations in f(R,T) gravity
• Collapsing spherical stars in f(R) gravity
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a merger
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Anisotropic strange stars in Tolman-Kuchowicz spacetime
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity
• Existence of Compact Structures in $f(R,T)$ Gravity
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Stability Analysis of Stellar Radiating Filaments
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• On the non-attractive character of gravity in f(R) theories
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
• Jeans analysis in modified gravity
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Stability of Anisotropic Stellar Filaments
• The Raychaudhuri equation in homogeneous cosmologies
• Gravitational Collapse in General Relativity and in $R^2$-gravity: A Comparative Study
• Focusing of geodesic congruences in an accelerated expanding Universe
• Brane-Worlds at the LHC: Branons and KK-gravitons
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• New inhomogeneous universes in scalar-tensor and f(R) gravity
• Curvature Singularities from Gravitational Contraction in f(R) Gravity
• Energy Conditions in Higher Derivative $f(R,\square R,T)$ Gravity
• Turnaround radius in $f(R)$ model
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• Dynamical Instability of Spherical Anisotropic Sources in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Universal Relations and Alternative Gravity Theories
• Conformally Flat Collapsing Stars in f (R) gravity
• Relation between the Turnaround radius and virial mass in $f(R)$ model
• On tidal forces in f(R) theories of gravity
• Gravitational Dust Collapse in $f(R)$ Gravity
• Evolution of Cluster of Stars in f(R) Gravity
• Cosmological acceleration
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Is gravitational collapse possible in $f(R)$ gravity?
• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity
• Mimetic Compact Stars
• Spherically Symmetric Solutions in F(R) Gravity and Gravitational Repulsion
• Gravitational collapse of massless scalar field in $f(R)$ gravity
• Testing horizon topology with electromagnetic observations
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
• Scalar Field Collapse with an exponential potential
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• Null Fluid collapse in Rastall theory of gravity
• Collapse in $f(R)$ gravity and the method of $R$ matching
• Gravitational collapse of compact stars in $f(R)=\xi R^4$ gravity
• An Eternal gravitational collapse in $f(R)$ theory of gravity and their astrophysical implications
• Backreaction mechanism in multifluid and extended cosmologies
• Astrophysics with the Laser Interferometer Space Antenna
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Spherical Symmetric Gravitational Collapse in Chern-Simon Modified Gravity
• CPT analysis with top physics
• Influence of intrinsic spin in the formation of singularities for inhomogeneous effective dust space-times
• Toward a realistic Buchdahl limit in f(R) theories of gravity
• Modified spinning black holes
• Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes
• Implications of $f(R)$ gravity on late-time cosmic structure growth through a complete description of density perturbations
• Some Observable Effects of Modified Gravity in Cosmology and Astrophysics
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions