Cylindrically Symmetric Solutions in $f(R,T)$ Gravity

Abstract

The main purpose of this paper is to investigate the exact solutions of cylindrically symmetric spacetime in the context of $f(R,T)$ gravity [1], where $f(R,T)$ is an arbitrary function of Ricci scalar $R$ and trace of the energy momentum tensor $T$. We explore the exact solutions for two different classes of $f(R,T)$ models. The first class $f(R,T)=R+2f(T)$ yields a solution which corresponds to an exterior metric of cosmic string while the second class $f(R,T)=f_1(R)+f_2(T)$ provides an additional solution representing a non-null electromagnetic field. The energy densities and corresponding functions for $f(R,T)$ models are evaluated in each case.

18 Pages. arXiv admin note: text overlap with arXiv:1506.08699

References in corpus (22)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Cylindrical solutions in metric f(R) gravity
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity
• Cosmic Acceleration, Dark Energy and Fundamental Physics
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Non-Vacuum Bianchi Types I and V in f(R) Gravity
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• The interior spacetimes of stars in Palatini f(R) gravity
• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• The Cauchy problem for metric-affine f(R)-gravity in presence of a Klein-Gordon scalar field
• Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
• Effects of f(R) Dark Energy on Dissipative Anisotropic Collapsing Fluid
• Crossing of Phantom Divide in $F(R)$ Gravity
• Absorption cross section of RN black hole

Cited by in corpus (1)

• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory