Noether Symmetries in Gauss-Bonnet-teleparallel cosmology

Abstract

A generalized teleparallel cosmological model, $f(T_{\mathcal{G}},T)$, containing the torsion scalar $T$ and the teleparallel counterpart of the Gauss-Bonnet topological invariant $T_{\mathcal{G}}$, is studied in the framework of the Noether Symmetry Approach. As $f(\mathcal{G},R)$ gravity, where $\mathcal{G}$ is the Gauss-Bonnet topological invariant and $R$ is the Ricci curvature scalar, exhausts all the curvature information that one can construct from the Riemann tensor, in the same way, $f(T_{\mathcal{G}},T)$ contains all the possible information directly related to the torsion tensor. In this paper, we discuss how the Noether Symmetry Approach allows to fix the form of the function $f(T_{\mathcal{G}},T)$ and to derive exact cosmological solutions.

arXiv comment6 pages

References in corpus (38)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• f(T) teleparallel gravity and cosmology
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• f(T) Gravity and local Lorentz invariance
• Cosmological perturbations in f(T) gravity
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Modified gravity and its reconstruction from the universe expansion history
• The Cosmology of Modified Gauss-Bonnet Gravity
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Large-scale Structure in f(T) Gravity
• Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Cosmological applications of $F(T,T_G)$ gravity
• Cosmological evolution in exponential gravity
• Axially symmetric solutions in f(R)-gravity
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
• Noether symmetry approach in phantom quintessence cosmology
• Constraints and analytical solutions of $f(R)$ theories of gravity using Noether symmetries
• Some aspects of generalized modified gravity models
• Newtonian, Post Newtonian and Parameterized Post Newtonian limits of f(R, G) gravity
• f(R) cosmology with torsion
• Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions
• Gauss-Bonnet dark energy by Lagrange multipliers
• The Newtonian limit of metric gravity theories with quadratic Lagrangians
• Noether Symmetry Approach for teleparallel-curvature cosmology
• Noether symmetry for Gauss-Bonnet dilatonic gravity
• Topological invariant quintessence
• Noether Symmetry Approach for Dirac-Born-Infeld Cosmology
• F(R) gravity in purely affine formulation

Cited by in corpus (47)

• Teleparallel Gravity: From Theory to Cosmology
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Noether symmetries in Symmetric Teleparallel Cosmology
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Non-Local Gravity Cosmology: an Overview
• Noether Symmetries as a geometric criterion to select theories of gravity
• Constraining Generalized Non-local Cosmology from Noether Symmetries
• Constraining Teleparallel Gravity through Gaussian Processes
• The gravitational energy-momentum pseudotensor: the cases of $f(R)$ and $f(T)$ gravity
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Constraining Non-local Gravity by S2 star orbits
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Minimal coupling in presence of non-metricity and torsion
• Analyzing the geometrical and dynamical parameters of modified Teleparallel-Gauss-Bonnet model
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Dynamical complexity of the Teleparallel gravity cosmology
• Dynamical system analysis in teleparallel gravity with boundary term
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• Study of Static Wormhole Solutions in $F(T,T_{\mathcal{G}})$ Gravity
• Tracing the cosmic history by Gauss-Bonnet gravity
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Unified dark sectors in scalar-torsion theories of gravity
• Exact spherically symmetric solutions in modified Gauss-Bonnet gravity from Noether symmetry approach
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Energy Conditions in Gauss-Bonnet Gravity
• A new symmetry of the spatially flat Einstein-Friedmann equations
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Hubble Tension and Dark Energy in Teleparallel Gauss-Bonnet Gravity: New Constraints from DESI BAO, Pantheon${}^{+}$ and Hubble Data
• Focusing conditions for extended teleparallel gravity theories
• Generalized Noether Theorem for Gauss-Bonnet Cosmology