Constraining $f(T,\mathcal{T})$ gravity models using type Ia supernovae

Abstract

We present an analysis of an $f(T,\mathcal{T})$ extension of the Teleparallel Equivalent of General Relativity, where $T$ denotes the torsion and $\mathcal{T}$ the trace of the energy-momentum tensor. This extension includes non--minimal couplings between torsion and matter. In particular, we construct two specific models that recover the usual continuity equation, namely, $f(T,\mathcal{T})=T+g(\mathcal{T})$ and $f(T,\mathcal{T})=T\times g(\mathcal{T})$. We then constrain the parameters of each model by fitting the predicted distance modulus to that measured from type Ia supernovae, and find that both models can reproduce the late--time cosmic acceleration. We also observe that one of the models satisfies well the observational constraints and yields a goodness--of--fit similar to the $\Lambda$CDM model, thus demonstrating that $f(T,\mathcal{T})$ gravity theory encompasses viable models that can be an alternative to $\Lambda$CDM.

10 pages, 3 figures. Version published in PRD

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• Teleparallel Gravity: From Theory to Cosmology
• Gravitational Waves in Modified Teleparallel Theories
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Stability of the flat FLRW metric in $f(T)$ gravity
• Gravastars in $f(\mathbb{T},\mathcal{T})$ gravity
• Cosmological bouncing solutions in extended teleparallel gravity theories
• Regular black holes in $f(G)$ gravity
• Growth factor in $f(T,\mathcal{T})$ gravity
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Thick brane in f(T,B) gravity
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
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• Spherical collapse model and cluster number counts in power law $f(T)$ gravity
• Qualitative Stability Analysis of Cosmological Parameters in $f(T,B)$ Gravity
• Rip cosmologies, Wormhole Solutions and Big Trip in the $f(T,\mathcal{T})$ theory of gravity
• Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor
• First-order formalism for thick branes in $f(T,\mathcal{T})$ gravity
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• Cosmological constraints on a unified dark matter-energy scalar field model with fast transition
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• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Dynamical features of $f(T,B)$ cosmology
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• Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory
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• Action functional of the Cardassian universe
• Comparison of $f(R,T)$ Gravity with Type Ia Supernovae Data
• Spatial Dependence of the Growth Factor in Scalar-Tensor Cosmology
• Exploration of Parameters in f(R,T) Gravity and Comparison with Type Ia Supernovae Data