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.

21 pages, 8 figures

References in corpus (16)

• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Disappearing cosmological constant in f(R) gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• 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
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• From inflation to dark energy in the non-minimal modified gravity
• Cylindrical solutions in metric f(R) gravity
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Stability of Schwarzschild-like solutions in f(R,G) gravity models
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Symmetries of geodesic motion in Gödel-type spacetimes
• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• Approximate Noether gauge symmetries of Bardeen model

Cited by in corpus (10)

• Anisotropic compact stars in $f(R)$ gravity
• Physical Characteristics and Maximum Allowable Mass of Hybrid Star in the Context of $f(Q)$ Gravity
• Study of Embedded Class-I Fluid Spheres in $f(R,T)$ Gravity with Karmarkar Condition
• Relativistic Krori-Barua Compact Stars in $f(R,T)$ Gravity
• Gravastars in $f(R,G)$ Gravity
• Noether Symmetry Approach in Energy-Momentum Squared Gravity
• Study of Compact Stars in $\mathcal{R}+\alpha \mathcal{A}$ Gravity
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
• $f(\mathcal{R},\phi ,\chi )$ Cosmology with Noether Symmetry
• Noether Symmetries and Anisotropic Universe in Energy-Momentum Squared Gravity