Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity

Abstract

In this paper we work out collapsing conditions for a spherical star in the weak field limit of the $R+{\mu }^4/R$ gravity and discuss the importance of the parameter $\mu$ to generate different criteria in the theory. Such criteria are proved to be resulting in a variety of different fates for the evolution of the outer shells of stars. Furthermore, we investigate the special case of violating the first junction condition and point out corresponding contradictions to the normal cases. These results show that the consistency of the $R+{\mu }^4/R$ theory of gravity with the common astrophysical predictions relies highly on the adoption of the parameter $\mu$ and satisfaction/violation of the first junction condition. For those anomalous results, further observational attempts are mandatory.

arXiv comment20 pages, 7 figures

References in corpus (57)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Curvature Quintessence
• Can modified gravity explain accelerated cosmic expansion?
• 1/R gravity and Scalar-Tensor Gravity
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Curvature quintessence matched with observational data
• Are f(R) dark energy models cosmologically viable ?
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Quintessence without scalar fields
• Solar System constraints to general f(R) gravity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• The gravity lagrangian according to solar system experiments
• Cosmography of f(R) gravity
• Black Holes in f(R) theories
• Solar System tests DO rule out 1/R gravity
• Stability of Cosmological Solution in f(R) Models of Gravity
• Spherical symmetry in $f(R)$-gravity
• The Raychaudhuri equations: a brief review
• f(R) actions, cosmic acceleration and local tests of gravity
• f(R) cosmology by Noether's symmetry
• Junction conditions for F(R)-gravity and their consequences
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Collapsing spherical stars in f(R) gravity
• Axially symmetric solutions in f(R)-gravity
• Black hole solutions in F(R) gravity with conformal anomaly
• Power-laws f(R) theories are cosmologically unacceptable
• Spherically symmetric spacetimes in f(R) gravity theories
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Modified F(R) Horava-Lifshitz gravity: a way to accelerating FRW cosmology
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Plane Symmetric Solutions in f(R) Gravity
• A new framework for studying spherically symmetric static solutions in f(R) gravity
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
• Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity
• Generation of spherically symmetric metrics in $f\left(R\right)$ gravity
• Spherical Symmetric Solution in f(R) Model Around Charged Black Hole
• Some generalizations of the Raychaudhuri equation
• Cosmological dynamics of $f(R)$ gravity scalar degree of freedom in Einstein frame
• Spherically symmetric collapse of a perfect fluid in f(R) gravity
• Energy Conditions and Junction Conditions
• Gravitational Dust Collapse in $f(R)$ Gravity
• Cosmological and Solar-System Tests of f(R) Modified Gravity
• Spherically Symmetric Solutions in F(R) Gravity and Gravitational Repulsion
• An updated analysis of two classes of f(R) theories of gravity
• Black holes in modified gravity theories
• Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Black holes and stellar structures in f(R)-gravity
• Surface configuration in $R+{\mu }^4/R$ gravity

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