Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries

Abstract

This paper is devoted to investigate the recently proposed modified Gauss-Bonnet $f(\mathcal{G},T)$ gravity, with $\mathcal{G}$, the Gauss-Bonnet term, coupled with $T$, the trace of energy-momentum tensor. We have used the Noether symmetry methodology to discuss some cosmologically important $f(\mathcal{G},T)$ gravity models with anisotropic background. In particular, the Noether symmetry equations for modified $f(\mathcal{G},T)$ gravity are reported for locally rotationally symmetric Bianchi type $I$ universe. Explicitly, two models have been proposed to explore the exact solutions and the conserved quantities. It is concluded that the specific models of modified Gauss-Bonnet gravity may be used to reconstruct $\Lambda$CDM cosmology without involving any cosmological constant.

arXiv comment21 pages, 8 figures

References in corpus (37)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• f(R) theories
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Disappearing cosmological constant in f(R) gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Gravity assisted dark energy dominance and cosmic acceleration
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Curing singularities in cosmological evolution of F(R) gravity
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• From inflation to dark energy in the non-minimal modified gravity
• Generalized Gravity and a Ghost
• Cylindrical solutions in metric f(R) gravity
• Modelling clusters of galaxies by f(R)-gravity
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Noether Symmetry Approach in f(R) Tachyon Model
• Stability of Schwarzschild-like solutions in f(R,G) gravity models
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Noether Gauge Symmetry Approach in f(R) Gravity
• LRS Bianchi type I universes exhibiting Noether symmetry in the scalar-tensor Brans-Dicke theory
• Gravity with Auxiliary Fields
• Symmetries of geodesic motion in Gödel-type spacetimes
• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• Energy of Bardeen Model Using Approximate Symmetry Method
• Approximate Noether gauge symmetries of Bardeen model
• Noether Symmetries of Some Homogeneous Universe Models in Curvature Corrected Scalar-Tensor Gravity
• Finite-time singularities in modified $\mathcal{F}(R,G)$-gravity and singularity avoidance

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