Generalized teleparallel cosmology and initial singularity crossing

Abstract

We present a class of cosmological solutions for a generalized teleparallel gravity with, $f(T)=T+\tilde{\alpha }(-T{)}^n$, where $\tilde{\alpha }$ is some parameter and $n$ is an integer or half-integer. Choosing $\tilde{\alpha }\sim G^{n-1}$, where $G$ is the gravitational constant, and working with an equation of state $p=w\rho$, one obtains a cosmological solution with multiple branches. The dynamics of the solution describes standard cosmology at late times, but the higher-torsion correction changes the nature of the initial singularity from big bang to a sudden singularity. The milder behavior of the sudden singularity enables us to extend timelike or lightlike curves, through joining two disconnected branches of solution at the singularity, leaving the singularity traversable. We show that this extension is consistent with the field equations through checking the known junction conditions for generalized teleparallel gravity. This suggests that these solutions describe a contracting phase a prior to the expanding phase of the universe.

added few references and corrected some typos

References in corpus (65)

• f(T) teleparallel gravity and cosmology
• Properties of singularities in (phantom) dark energy universe
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• The teleparallel equivalent of general relativity
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Matter Bounce Cosmology with the f(T) Gravity
• Equation of state for dark energy in $f(T)$ gravity
• Accelerating universe from F(T) gravity
• Quantum escape of sudden future singularity
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Solar system constraints on f(T) gravity
• $f(T)$ models with phantom divide line crossing
• More General Sudden Singularities
• Cosmological Solutions of $f(T)$ Gravity
• New Cosmological Singularities in Braneworld Models
• New Isotropic and Anisotropic Sudden Singularities
• Generalized second law of thermodynamics in f(T) gravity
• Classification of cosmological milestones
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Anisotropic Universe Models in f(T) Gravity
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• New Static Solutions in f(T) Theory
• New observational constraints on f(T) gravity from cosmic chronometers
• Bouncing Universes with Varying Constants
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Future singularities and Teleparallelism in Loop Quantum Cosmology
• f(T) modified teleparallel gravity models as an alternative for holographic and new agegraphic dark energy models
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• A spherically-symmetric charged-dS solution in f(T) gravity theories
• Cosmographic reconstruction of $f(\mathcal{T})$ cosmology
• $f(T)$ gravity: effects on astronomical observation and Solar System experiments and upper-bounds
• $f(T)$ gravitational baryogenesis
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology
• A special exact spherically symmetric solution in f(T) gravity theories
• A Built-in Inflation in the $f(T)$-Cosmology
• Weyl-Cartan-Weitzenböck gravity through Lagrange multiplier
• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
• Holographic f(T)-gravity model with power-law entropy correction
• Junction conditions in extended Teleparallel gravities
• Generalized Noether symmetry in f(T) gravity
• The Hidden Flat Like Universe: Starobinsky-like inflation induced by f(T) gravity
• Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity
• Cosmological frames for theories with absolute parallelism
• Reconstruction of $f(T)$-gravity in the absence of matter
• Power-law and intermediate inflationary models in f(T)-gravity
• Generalized Teleparallel Gravity Via Some Scalar Field Dark Energy Models
• QCD ghost f(T)-gravity model
• Geodesics at Sudden Singularities
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe
• Weyl Anomaly and Initial Singularity Crossing
• Geodesic Completeness around Sudden Singularities

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• Teleparallel Gravity: From Theory to Cosmology
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Rotating AdS black holes in Maxwell-$f(T)$ gravity
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Phase Portraits of general f(T) Cosmology
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Quasinormal modes of dS and AdS Black Holes: Feedforward neural network method
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Analytic charged BHs in $f(\mathcal{R})$ gravity
• Evaporation of Black Hole Under the Effect of Quantum Gravity
• Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime
• Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Rotating black hole in $f(R)$ theory
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
• Influence of pressure anisotropy and non-metricity parameter on mass-radius relation and stability of millisecond pulsar in $f(Q)$ gravity
• Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem
• Back to the phase space: thermal axion dark radiation via couplings to standard model fermions
• Rotating charged AdS solutions in quadratic $f(T)$ gravity
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Dark Matter Freeze-In and Small-Scale Observables: Novel Mass Bounds and Viable Particle Candidates
• Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Effect of nonlocal transformations on the linearizability and exact solvability of the nonlinear generalized modified Emden type equations
• Gauss-Bonnet Gravity and Spacetime Singularities