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Generating solutions for charged compact configurations in f(R) gravity
I Noureen1, S A Mardan2,3, A Zahra2,4
1Department of Mathematics, Government College Women University Faisalabad, Pakistan.
Plos One
|July 6, 2026
Summary
This study introduces a novel method for creating models of charged, compact objects in modified f(R) gravity. The approach utilizes geometric constraints and an equation of state to generate diverse stellar solutions, highlighting the role of anisotropy.
Area of Science:
- Theoretical Physics
- Astrophysics
- General Relativity
Background:
- Modified gravity theories, specifically f(R) gravity, offer alternatives to Einstein's General Relativity for explaining cosmological phenomena.
- Understanding the internal structure and properties of compact objects like stars is crucial for testing these alternative gravity theories.
Purpose of the Study:
- To develop a systematic method for generating exact solutions for charged, spherically symmetric compact objects within the framework of f(R) gravity.
- To explore the role of matter anisotropy and geometric conditions in constructing these solutions.
Main Methods:
- Modeling the stellar interior with an anisotropic matter distribution and distinct radial and tangential stresses.
- Imposing a linear equation of state, the conformally flat condition (vanishing Weyl tensor), and the Karmarkar condition.
- Transforming the resulting Riccati equation into a second-order linear homogeneous equation for explicit solution construction.
Main Results:
- A closed-form expression for energy density was derived, acting as a generating function for stellar models.
- Radial pressure, tangential pressure, and the anisotropy factor were identified as key drivers in solution generation.
- The method allows for the generation of entire families of solutions once a particular solution is found.
Conclusions:
- The developed method provides a robust framework for constructing realistic stellar models in f(R) gravity.
- The anisotropy factor plays a pivotal role in formulating and characterizing the generated stellar solutions.
- This work contributes to the ongoing effort to understand compact objects in modified gravitational theories.
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