Dust Static Spherically Symmetric Solution in $f(R)$ Gravity
Muhammad Sharif, Hafiza Rizwana Kausar
TL;DR
This paper derives static spherically symmetric solutions with dust matter in f(R) gravity, analyzing their energy distribution, stability, and specific model behaviors.
Contribution
It presents new solutions with constant Ricci scalar in f(R) gravity and evaluates their energy distribution and stability conditions.
Findings
Solutions with constant Ricci scalar are obtained.
Energy distribution is calculated using Landau-Lifshitz complex.
Stability conditions are discussed for specific f(R) models.
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.
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