Dust Static Spherically Symmetric Solution in $f(R)$ Gravity

Abstract

In this paper, we take dust matter and investigate static spherically symmetric solution of the field equations in metric f(R) gravity. The solution is found with constant Ricci scalar curvature and its energy distribution is evaluated by using Landau-Lifshitz energy-momentum complex. We also discuss the stability condition and constant scalar curvature condition for some specific popular choices of f(R) models in addition to their energy distribution.

17 pages, No figure, accepted for publication in J. Japan Physical Society

References in corpus (15)

• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Are f(R) dark energy models cosmologically viable ?
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Solar System tests DO rule out 1/R gravity
• A Singularity Problem with f(R) Dark Energy
• Relativistic stars in f(R) gravity, and absence thereof
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cylindrical solutions in metric f(R) gravity
• The interior spacetimes of stars in Palatini f(R) gravity
• Eleven spherically symmetric constant density solutions with cosmological constant
• Energy-momentum complexes in f(R) theories of gravity
• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes

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• Non-vacuum Solutions of Bianchi Type VI_0 Universe in f(R) Gravity
• Observational constraints on non-minimally coupled Galileon model
• Static Cylindrically Symmetric Interior Solutions in f(R) Gravity
• Compact Objects by Gravitational Decoupling in f(R) Gravity
• Impact of Extended Starobinsky Model on Evolution of Anisotropic, Vorticity-free Axially Symmetric Sources
• Effects of CDTT Model on the Dynamical Instability of Cylindrically Symmetric Collapsing Stars
• Dissipative Cylindrical Collapse of a Charged Anisotropic Fluid in $f(R)$ Gravity
• Perturbative solutions of the $f(R)$-theory of gravity in a central gravitational field and some applications
• Nonstatic Reissner-Nordström metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation