Plane Symmetric Solutions in f(R) Gravity

Abstract

The modified theories of gravity, especially the f(R) theory, have attracted much attention in recent years. In this context, we explore static plane symmetric vacuum solutions using the metric approach of this theory. The field equations are solved using the assumption of constant scalar curvature which may be zero or non-zero. We have found a total of three plane symmetric solutions. The correspondence of these solutions with the well-known solutions in General Relativity is given.

10 pages, accepted for publication in Mod. Phys. Lett. A

References in corpus (10)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• 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
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cylindrical solutions in metric f(R) gravity
• Exact Solutions of Bianchi Types $I$ and $V$ Spacetimes in $f(R)$ Theory of Gravity
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Absorption cross section of RN black hole
• Kinematic Self-Similar Plane Symmetric Solutions

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• Some Bianchi Type Cosmological Models in f(R) Gravity
• Exact Solutions of Bianchi Types $I$ and $V$ Spacetimes in $f(R)$ Theory of Gravity
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Non-Vacuum Bianchi Types I and V in f(R) Gravity
• Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity
• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• Cylindrically Symmetric Solutions in $f(R,T)$ Gravity
• Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Static Cylindrically Symmetric Interior Solutions in f(R) Gravity
• Planar Symmetry in f(T) gravity
• General properties of $\mathbf{f}(\mathbf{R})$ gravity vacuum solutions
• Gravitational Dust Collapse in $f(R)$ Gravity
• Killing and Noether Symmetries of Plane Symmetric Spacetime
• Locally Rotationally Symmetric Vacuum Solutions in f(R) Gravity
• Exploring Plane Symmetric Solutions in $f(R)$ Gravity
• Spatially Homogeneous Rotating Solution in f(R) Gravity and Its Energy Contents
• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity
• Static plane symmetric solutions in $f(Q)$ gravity
• Higher-dimensional Holographic Superconductors in Born-Infeld Electrodynamics and f(R) Gravity
• Domain wall in $f(R)$ gravity