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f(T) teleparallel gravity and cosmology.

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  • 1CAS Key Laboratory for Research in Galaxies and Cosmology, Department of Astronomy, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026, People's Republic of China. Department of Physics, McGill University, Montréal, QC, H3A 2T8, Canada.

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Torsion in gravity, particularly f(T) gravity, offers an alternative to the cosmological constant for explaining universe acceleration. This theory also addresses early universe inflation and avoids singularities, with applications to black holes and gravitational waves.

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Area of Science:

  • * Theoretical Physics
  • * Cosmology
  • * Gravitational Physics

Background:

  • * Torsion's role in gravity is explored for gauge formulation and geometric spin descriptions.
  • * Various torsional constructions (teleparallel, Einstein-Cartan, metric-affine) extend to f(T) gravity.
  • * f(T) gravity involves an arbitrary function of the torsion scalar T.

Purpose of the Study:

  • * Review torsional constructions and f(T) gravity.
  • * Investigate cosmological and astrophysical applications of f(T) gravity.
  • * Analyze f(T) gravity's potential for explaining late-time acceleration, inflation, and singularity avoidance.

Main Methods:

  • * Review of existing literature on torsional gravity and f(T) theories.
  • * Analysis of cosmological solutions at background and perturbation levels.
  • * Examination of observational constraints from large-scale structure and gravitational waves.

Main Results:

  • * f(T) gravity provides an alternative to the cosmological constant for late-time acceleration.
  • * Certain f(T) models can achieve cosmic inflation or avoid Big Bang singularities via non-singular bounces.
  • * Spherically symmetric and black hole solutions within f(T) gravity are reviewed.

Conclusions:

  • * f(T) gravity offers a viable framework for understanding cosmic acceleration and early universe phenomena.
  • * Observational constraints are crucial for validating f(T) cosmological models.
  • * Further research is needed to compare f(T) gravity with curvature-based theories like f(R) gravity for quantization and cosmological applications.