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Similar

J. B. Jiménez, A. Golovnev, T. Koivisto, and H. Veermäe, “Minkowski space in f ⁡ ( T ) f(T) gravity,” Phys. Rev. D
Original
2004
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J. Beltran Jimenez, L. Heisenberg, and T. Koivisto, “The coupling of matter and spacetime geometry,” arXiv:2004.04606 [hep-th]
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2004
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S. Grellier and J.-P. Otal, “Bounded eigenfunctions in the real Hyperbolic space,” international mathematical research notices
2005
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M. Blagojević and J. M. Nester, “Local symmetries and physical degrees of freedom in f ⁡ ( T ) f(T) gravity: a Dirac Hamiltonian constraint analysis,” arXiv:2006.15303 [gr-qc]
Original
2006
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Then

J. W. Maluf, “The teleparallel equivalent of general relativity,” Annalen Phys
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G. Kofinas, G. Leon, and E. N. Saridakis, “Dynamical behavior in f ⁡ ( T , T G ) f(T,T_{G}) cosmology,” Class. Quant. Grav
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S. Bahamonde, C. G. Böhmer, and M. Wright, “Modified teleparallel theories of gravity,” Phys. Rev

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2022

Perturbations in Non-Flat Cosmology for $f(T)$ gravity

Bahamonde, Sebastian, Dialektopoulos, Konstantinos F., Hohmann, Manuel et al.

Understand

The study of cosmological perturbation theory in $f(T)$ gravity is a topic of great interest in teleparallel gravity since this is one of the simplest generalizations of the theory that modifies the teleparallel equivalent of general relativity.

In this work, we explore the possibility of a non-flat FLRW background solution and perform perturbations for positively as well as negatively curved spatial geometries, together with a comparison to the flat case.
We determine the generalized behaviour of the perturbative modes for this non-flat FLRW setting for arbitrary $f(T)$ models, when the most general homogeneous and isotropic background tetrads are used.
We also identify propagating modes in this setup, and relate this with the case of a flat cosmology.