Unexplored regions in teleparallel $f(T)$ gravity: Sign-changing dark energy density

Abstract

While $f(T)$ gravity has shown considerable potential in addressing cosmological tensions, we explore previously overlooked solution spaces that hold further promise. We examine the case where the customary assumption of a strictly positive effective DE density may not apply, offering new possibilities. Focusing on $f(T)=T{e}^{T_{\ast }/T}$, we investigate cosmological solutions parametrized by the parameter $\beta =T_{\ast }/T_0$. This parameter uniquely determines ${\Omega }_{m0}$, and its sign plays a crucial role in characterizing deviations from the $\Lambda$CDM. We elaborate on the structural asymmetry between the positive- and negative-$\beta$ branches: while the ${\beta }_{+}$ leads to dynamics with modest departures from $\Lambda$CDM, the ${\beta }_{-}$ yields more pronounced and nontrivial deviations. Despite these deviations, the negative-$\beta$ branch can remain consistent with local gravity constraints through an effective chameleon-like mechanism. We also examine the model in the context of dynamical DE. Ensuring consistency with CMB data, the widely studied ${\beta }_{+}$ exhibits phantom behavior, while the previously overlooked ${\beta }_{-}$ features a sign-changing DE density that transitions smoothly from negative to positive values at $z_{†}\sim 1.5$. Though the sign-changing DE leads to a larger-than-expected enhancement, we extend the analysis by incorporating $\Lambda$. This extension broadens the solution space consistent with the SH0ES measurement while maintaining consistency with CMB. Additionally, it introduces richer phenomenological possibilities, including the potential moderation or cessation of cosmic acceleration at very low redshifts, aligning with recent observational analyses, such as those from DESI BAO data. Our findings suggest that existing $f(T)$ models, as well as $f(Q)$ models, should be revisited in light of the novel theoretical insights presented here.

28 pages, 9 figures, and no tables; matches the version published in Physical Review D

References in corpus (76)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• In the Realm of the Hubble tension $-$ a Review of Solutions
• The Pantheon+ Analysis: Cosmological Constraints
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Challenges for $\Lambda$CDM: An update
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Teleparallel Gravity: From Theory to Cosmology
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• f(R) Gravity and Chameleon Theories
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Model independent evidence for dark energy evolution from Baryon Acoustic Oscillations
• $f(T)$ models with phantom divide line crossing
• DESI 2024: Reconstructing Dark Energy using Crossing Statistics with DESI DR1 BAO data
• Comparing Equivalent Gravities: common features and differences
• Relaxing cosmological tensions with a sign switching cosmological constant
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Relaxing cosmological tensions with a sign switching cosmological constant: Improved results with Planck, BAO, and Pantheon data
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• An overview of what current data can (and cannot yet) say about evolving dark energy
• Model-independent reconstruction of the Interacting Dark Energy Kernel: Binned and Gaussian process
• Omnipotent dark energy: A phenomenological answer to the Hubble tension
• Late-time cosmology with phantom dark-energy in $f(Q)$ gravity
• Measurements of $H_0$ and reconstruction of the dark energy properties from a model-independent joint analysis
• Parametric and nonparametric methods hint dark energy evolution
• Perturbations in Non-Flat Cosmology for $f(T)$ gravity
• Foundational issues in f(T) gravity theory
• Combining pre- and post-recombination new physics to address cosmological tensions: case study with varying electron mass and sign-switching cosmological constant
• Simple-graduated dark energy and spatial curvature
• $\Lambda$CDM Tensions: Localising Missing Physics through Consistency Checks
• Phantom matter: a challenging solution to the cosmological tensions
• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• Composite Dark Energy and the Cosmological Tensions
• Is the dark energy equation of state parameter singular?
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Model selection applied to reconstructions of the Dark Energy
• Cosmological constraints on ${\Lambda }_{\mathrm{s}}$CDM scenario in a type II minimally modified gravity
• Reflections on the covariance of modified teleparallel theories of gravity
• An Effective Sign Switching Dark Energy: Lotka-Volterra Model of Two Interacting Fluids
• Fourier-series expansion of the dark-energy equation of state
• Anti-de Sitter $\to$ de Sitter transition driven by Casimir forces and mitigating tensions in cosmological parameters
• Transition dynamics in the ${\Lambda }_{\mathrm{s}}$CDM model: Implications for bound cosmic structures
• From infinite to infinitesimal: Using the Universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension
• Dark energy by natural evolution: Constraining dark energy using Approximate Bayesian Computation
• Dynamical systems analysis of $f(Q)$ gravity
• General cosmological perturbations in teleparallel gravity
• Testing $\Lambda$-Free f(Q) Cosmology
• Cosmological parameter estimation with Genetic Algorithms
• ${\Lambda }_{\mathrm{s}}$CDM cosmology: Alleviating major cosmological tensions by predicting standard neutrino properties
• Towards a possible solution to the Hubble tension with Horndeski gravity
• Toward a concordance teleparallel Cosmology II: Linear perturbation
• Testing an oscillatory behavior of dark energy
• Mapping the ${\Lambda }_{\mathrm{s}}$CDM scenario to $f(T)$ modified gravity: Effects on structure growth rate
• Exploring new physics in the late Universe's expansion through non-parametric inference
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• Lorentz symmetries and primary constraints in covariant teleparallel gravity
• Oscillating dark energy in light of the latest observations and its impact on the Hubble tension
• Holographic and Gravity-Thermodynamic Approaches in Entropic Cosmology: Bayesian Assessment using late-time Data
• Thin-wall vacuum decay in the presence of a compact dimension meets the $H_0$ and $S_8$ tensions
• Linear matter density perturbations in the ${\Lambda }_{\mathrm{s}}$CDM model: Examining growth dynamics and addressing the $S_8$ tension
• Chameleon Mechanism in Scalar Nonmetricity Cosmology
• $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom
• Geometry of teleparallel theories

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• ${\Lambda }_{\mathrm{s}}$CDM cosmology from a type-II minimally modified gravity
• Late-time Background Constraints on Linear and Non-linear Interacting Dark Energy after DESI DR2
• Revisiting CPL with sign-switching density: To cross or not to cross the NECB
• Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension
• Addressing the DESI DR2 Phantom-Crossing Anomaly and Enhanced $H_0$ Tension with Reconstructed Scalar-Tensor Gravity
• Nonlinear Matter Power Spectrum from relativistic $N$-body Simulations: ${\Lambda }_{\mathrm{s}}$CDM versus $\Lambda$CDM
• Background-level reconstruction of scalar-field potentials from dark-energy histories and comparison with analytic potential families
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions
• Statistical consistency of sign-switching vacuum energy with cosmological observations