Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity

Abstract

We explore the recently introduced modified Gauss-Bonnet gravity [1], $f(\mathcal{G},T)$ pragmatic with $\mathcal{G}$, the Gauss-Bonnet term, and $T$, the trace of the energy-momentum tensor. Noether symmetry approach has been used to develop some cosmologically viable $f(\mathcal{G},T)$ gravity models. The Noether equations of modified gravity are reported for flat FRW universe. Two specific models have been studied to determine the conserved quantities and exact solutions. In particular, the well known deSitter solution is reconstructed for some specific choice of $f(\mathcal{G},T)$ gravity model.

arXiv comment15 Pages, revised version, to appear in EPJC

References in corpus (45)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• 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
• Gravity assisted dark energy dominance and cosmic acceleration
• Thermodynamics in f(R,T) Theory of Gravity
• 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
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Large Scale Cosmic Microwave Background Anisotropies and Dark Energy
• The foundations of observing dark energy dynamics with the Wilkinson Microwave Anisotropy Probe
• Energy Conditions in $f(\mathcal{G},T)$ Gravity
• From inflation to dark energy in the non-minimal modified gravity
• Energy Conditions Constraints and Stability of Power Law Solutions in f(R,T) Gravity
• Generalized Gravity and a Ghost
• Noether Symmetry Approach in f(R) Tachyon Model
• Stability of Schwarzschild-like solutions in f(R,G) gravity models
• A Type of Levi-Civita's Solution in Modified Gauss-Bonnet Gravity
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries
• Exploring Cylindrical Solutions in Modified f(G) Gravity
• A note on constant curvature solutions in cylindrically symmetric metric $f(R)$ Gravity
• Noether Gauge Symmetry Approach in f(R) Gravity
• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• Warm Inflation in $f(\mathcal{G})$ Theory of Gravity
• LRS Bianchi type I universes exhibiting Noether symmetry in the scalar-tensor Brans-Dicke theory
• Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
• 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
• String duality transformations in $f(R)$ gravity from Noether symmetry approach
• Approximate Noether gauge symmetries of Bardeen model
• Noether Symmetries of Some Homogeneous Universe Models in Curvature Corrected Scalar-Tensor Gravity
• Spherically symmetric solution of $f(R,\mathcal{G})$ gravity at low energy
• Absorption cross section of RN black hole
• Finite-time singularities in modified $\mathcal{F}(R,G)$-gravity and singularity avoidance

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