de Sitter and Scaling solutions in a higher-order modified teleparallel theory

Abstract

The existence and the stability conditions for some exact relativistic solutions of special interest are studied in a higher-order modified teleparallel gravitational theory. The theory with the use of a Lagrange multiplier is equivalent with that of General Relativity with a minimally coupled noncanonical field. The conditions for the existence of de Sitter solutions and ideal gas solutions in the case of vacuum are studied as also the stability criteria. Furthermore, in the presence of matter the behaviour of scaling solutions is given. Finally, we discuss the degrees of freedom of the field equations and we reduce the field equations in an algebraic equation, where in order to demonstrate our result we show how this noncanonical scalar field can reproduce the Hubble function of $\Lambda$-cosmology.

arXiv comment20 pages, 4 figures, references updated, to be published in JCAP

Cited by in corpus (40)

• Teleparallel Gravity: From Theory to Cosmology
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Cosmological bouncing solutions in f(T,B) gravity
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Solar System Tests in Modified Teleparallel Gravity
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Constraining Teleparallel Gravity through Gaussian Processes
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• 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
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Dynamical complexity of the Teleparallel gravity cosmology
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• Generalised nonminimally gravity-matter coupled theory
• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
• Qualitative Stability Analysis of Cosmological Parameters in $f(T,B)$ Gravity
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Dynamics in interacting scalar-torsion theory
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Cosmology in modified $f(\mathcal{G})$ gravity: a late time cosmic phenomena
• Minisuperspace Quantization of $f\left(T,B\right)$ Cosmology
• $f(T)$ Cosmology with Nonzero Curvature
• $f(T,B)$ Gravity in the late Universe in the context of local measurements
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Generalised Proca Theories in Teleparallel Gravity
• New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Dynamical analysis and cosmological evolution in Weyl integrable gravity
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Dynamical System Analysis for Scalar Field Potential in Teleparallel Gravity
• D=11 cosmologies with teleparallel structure
• $O(d,d)$ symmetry in teleparallel dark energy
• $f(T,B)$ cosmography for high redshifts
• Quantum Cosmology in $f(Q)$ theory