Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited

Abstract

In this work, we revisit the perturbations that are generated in the bounce inflation scenario constructed within the framework of $f(T)$ theory. It has been well known that pure $f(T)$ theory cannot give rise to bounce inflation behavior, so aside from the gravity part, we also employ a canonical scalar field for minimal extension. We calculate the perturbations in $f(T)$ theory using the well-established ADM formalism, and find various conditions to avoid their pathologies. We find that it is indeed very difficult to obtain a healthy model without those pathologies, however, one may find a way out if a potential requirement, say, to keep every function continuous, is abandoned.

arXiv comment5 pages, 1 figures. Comments are welcome

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• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
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• Perturbative unitarity and NEC violation in genesis cosmology
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• Maxwell-$f(Q)$ theory
• Interpreting Pulsar Timing Array data of Gravitational Waves with Ekpyrosis-Bouncing Cosmology
• Potential-driven Inflation with Disformal Coupling to Gravity
• Climbing over the potential barrier during inflation via null energy condition violation
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• Inflation from a generalized exponential plateau: towards extra suppressed tensor-to-scalar ratios