Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology

Abstract

We consider the cosmology derived from $f(T,B)$ gravity where $T$ is the torsion scalar and $B=\frac{2}{e}{\partial }_{\mu }(e{T}^{\mu })$ a boundary term. In particular we discuss how it is possible to recover, under the same standard, the teleparallel $f(T)$ gravity, the curvature $f(R)$ gravity and the teleparallel-curvature $f(R,T)$ gravity, which are particular cases of $f(T,B)$. We adopt the Noether Symmetry Approach to study the related dynamical systems and to find out cosmological solutions.

arXiv comment21 pages

References in corpus (29)

• 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
• Dark torsion as the cosmic speed-up
• 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
• The teleparallel equivalent of general relativity
• f(T) Gravity and local Lorentz invariance
• Matter Bounce Cosmology with the f(T) Gravity
• Modified teleparallel theories of gravity
• Observational constraints on $f(T)$ theory
• "Teleparallel" Dark Energy
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
• f(R) cosmology by Noether's symmetry
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Noether Symmetry in $f(T)$ Theory
• $f(T)$ cosmology via Noether symmetry
• Selection Rules in Minisuperspace Quantum Cosmology
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Modified teleparallel theories of gravity -- Gauss-Bonnet and trace extensions
• Teleparallel quintessence with a nonminimal coupling to a boundary term
• Noether Symmetry Approach for teleparallel-curvature cosmology

Cited by in corpus (99)

• Teleparallel Gravity: From Theory to Cosmology
• Teleparallel Palatini theories
• Comparing Equivalent Gravities: common features and differences
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• New classes of modified teleparallel gravity models
• Noether symmetries in Symmetric Teleparallel Cosmology
• Gravitational Waves in Modified Teleparallel Theories
• Cosmological bouncing solutions in f(T,B) gravity
• The role of the boundary term in $f(Q,B)$ symmetric teleparallel gravity
• Hamiltonian formalism for f(T) gravity
• Constraining f(T) teleparallel gravity by Big Bang Nucleosynthesis
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Non-Local Gravity Cosmology: an Overview
• f(G) Noether cosmology
• Noether Symmetries as a geometric criterion to select theories of gravity
• Solar System Tests in Modified Teleparallel Gravity
• Constraining Generalized Non-local Cosmology from Noether Symmetries
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Gravitational waves in modified teleparallel theories of gravity
• Constraining Teleparallel Gravity through Gaussian Processes
• Quest for the extra degree of freedom in f(T) gravity
• 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
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
• Nonlocal Teleparallel Cosmology
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• New Exact Spherically Symmetric Solutions in $f(R,\varphi ,X)$ gravity by Noether's symmetry approach
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Considerations on gravitational waves in higher-order local and non-local gravity
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Generalized Gravitational Baryogenesis of Well-Known $f(T,T_G)$ and $f(T,B)$ Models
• Cosmological perturbations in modified teleparallel gravity models: Boundary term extension
• Cosmological Evolution and Exact Solutions in a Fourth-order Theory of Gravity
• Thick brane in f(T,B) gravity
• Spherical and cylindrical solutions in f (T) gravity by Noether Symmetry Approach
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• Gravitational baryogenesis in extended teleparallel theories of gravity
• McVittie solution in f(T) gravity
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Observational Constraints on $f(T)$ Gravity from Model-Independent Data
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Dynamical complexity of the Teleparallel gravity cosmology
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity
• Dynamical system analysis in teleparallel gravity with boundary term
• Generalised nonminimally gravity-matter coupled theory
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology
• Gravitational Waves in Higher Order Teleparallel Gravity
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints
• 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
• Noether symmetry in $f(T)$ teleparallel gravity
• Generalized Tachyonic Teleparallel cosmology
• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Stability of $f(Q,B)$ Gravity via Dynamical System Approach: a Comprehensive Bayesian Statistical Analysis
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Localization of abelian gauge fields with Stueckelberg-like geometrical coupling on $f(T,B)$-thick brane
• Braneworlds in $f(Q)$ gravity
• Constraining $f(T,B)$ teleparallel gravity from energy conditions
• Noether Symmetries in $f(T,T_G)$ Cosmology
• The amplification of cosmological magnetic fields in Extended $f(T,B)$ Teleparallel Gravity
• Configurational Entropy and braneworlds in f(T,B) gravity
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• $f(T,B)$ Gravity in the late Universe in the context of local measurements
• Dynamical features of $f(T,B)$ cosmology
• The Noether Symmetry Approach: Foundation and applications. The case of scalar-tensor Gauss-Bonnet gravity
• Generalised Proca Theories in Teleparallel Gravity
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• The interaction of extended Bose-Einstein condensate dark matter with viscous $f(T,B)$ gravity
• Teleparallel gravity as a gauge theory: coupling to matter with Cartan connection
• The Equivalence Principle as a Noether Symmetry
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Accelerating universe in modified teleparallel gravity theory
• Visible Energy Alternative to Dark Energy
• Cartan approach to Teleparallel Equivalent to General Relativity: a review
• String-like brane splitting in the context of $f(T,B)$ gravity
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Focusing conditions for extended teleparallel gravity theories
• Precision Cosmology in Modified and Extended Theories of Gravity: an insightful test
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe
• The first non-static inhomogeneous exact solution in $f(T,B)$ gravity
• Kalb-Ramond field induced cosmological bounce in generalized teleparallel gravity
• Production of Primordial Gravitational Waves in Teleparallel Gravity
• $f(T,B)$ cosmography for high redshifts