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

Hafiza Rizwana Kausar; Muhammad Sharif

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

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arxiv 1102.4124 v1 pith:24542LJT submitted 2011-02-21 physics.gen-ph

Muhammad Sharif , Hafiza Rizwana Kausar This is my paper · ORCID

classification physics.gen-ph

keywords solutionconditionconstantcurvaturedistributiondustenergygravity

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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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Nonstatic Reissner-Nordstr\"om metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation
gr-qc 2025-02 reject novelty 4.0 of 10

The paper claims that charged spherically symmetric sources in perturbative f(R) gravity can radiate gravitational waves through a time-dependent exterior metric.

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