STATIC CYLINDRICALLY SYMMETRIC INTERIOR SOLUTIONS IN f(R) GRAVITY

DOI10.1142/S0217732312501386zbMath1260.83048arXiv1302.1191OpenAlexW3101229689MaRDI QIDQ4912612

Sadia Arif, Muhammad Sharif

Publication date: 4 April 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1191

zbMATH Keywords

perfect fluid\(f(R)\) gravityexact cylindrically symmetric solutions

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (7)

Stability of thin cylindrical shell in quadratic and cubic models of \(\boldsymbol{f(R)}\) gravity ⋮ Classification of static cylindrically symmetric spacetimes in \(f(R)\) theory of gravity by conformal motions with perfect fluid matter ⋮ Cylindrically symmetric unimodular f(R) black holes ⋮ An exponential \(F(R)\) dark energy model ⋮ Scalar and electromagnetic quasinormal modes of an extended black hole in F(R) gravity ⋮ Abelian cosmic string in the extended Starobinsky model of gravity ⋮ Exact solutions of Bianchi type \(V\) spacetime in \(f(R,T)\) gravity

Cites Work

• Non-vacuum solutions of Bianchi type \(VI _{0}\) universe in \(f(R)\) gravity
• Some static spherically symmetric interior solutions of \(f (R)\) gravity
• Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>theories of gravity
• A NOTE ON CONSTANT CURVATURE SOLUTIONS IN CYLINDRICALLY SYMMETRIC METRIC f(R) GRAVITY
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Spherically symmetric solutions in f ( R ) gravity via the Noether symmetry approach
• PLANE SYMMETRIC SOLUTIONS IN f(R) GRAVITY
• Exact solutions to Einstein's field equations for perfect spherically symmetric static fluids
• Static Solutions of Einstein's Field Equations for Spheres of Fluid
• Exact solutions of Bianchi-type I and V spacetimes in the f ( R ) theory of gravity

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