Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking

Abstract

In the context of modified teleparallel gravity, we study the generation of primordial density fluctuations in a general scalar-torsion theory whose Lagrangian density is an arbitrary function $f(T,\varphi )$ of the torsion scalar $T$ and a scalar field $\varphi$, plus the kinetic term of this latter. It is well known that generic modifications of teleparallel gravity are not invariant under six-parameter local Lorentz transformations. In order to restore the local Lorentz symmetry, we have incorporated six additional degrees of freedom in the form of Goldstone modes of the symmetry breaking through a Lorentz rotation of the tetrad field. After integrating out all the auxiliary modes, we obtain a second order action for the scalar and tensor propagating modes and their power spectrum generated during inflation. It is found that an explicit mass term emerges in the second order action for curvature perturbation, describing the imprints of local Lorentz violation at first-order of slow-roll. We show that only inflationary models with nonminimal coupling functions $f(T,\varphi )$ which are non-linear in $T$, including the case of $f(T)$ gravity with minimally coupled scalar field, can generate primordial fluctuations. For a concrete model of inflation, we study the power-law potential by using the latest Planck data.

10 pages, 2 figures, Accepted for publication in PLB

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Cited by in corpus (21)

• Teleparallel Gravity: From Theory to Cosmology
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Dynamical systems analysis in $f(T,\varphi )$ gravity
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Scalar induced gravitational waves in modified teleparallel gravity theories
• Revisiting the dynamics of interacting vector-like dark energy
• Noether Symmetry Approach in Scalar-Torsion $f(T,\varphi )$ Gravity
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Scalar field induced dynamical evolution in teleparallel gravity
• Dynamics of dark energy in a scalar-vector-torsion theory
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
• Dynamical system analysis in modified Galileon cosmology
• Phase-space analysis of torsion-coupled dilatonic ghost condensate
• The scalar-torsion gravity corrections in the first-order inflationary models
• Teleparallel Gravity and Quintessence: The Role of Nonminimal Boundary Couplings
• Classical and quantum cosmology of $f(R)$ gravity's rainbow in Schutz's formalism
• Screening fifth forces in scalar-vector-tensor theories
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity