$f(T,\mathcal{T})$ gravity and cosmology

Abstract

We present an extension of $f(T)$ gravity, allowing for a general coupling of the torsion scalar $T$ with the trace of the matter energy-momentum tensor $\mathcal{T}$. The resulting $f(T,\mathcal{T})$ theory is a new modified gravity, since it is different from all the existing torsion or curvature based constructions. Applied to a cosmological framework, it leads to interesting phenomenology. In particular, one can obtain a unified description of the initial inflationary phase, the subsequent non-accelerating, matter-dominated expansion, and then the transition to a late-time accelerating phase. Additionally, the effective dark energy sector can be quintessence or phantom-like, or exhibit the phantom-divide crossing during the evolution. Moreover, in the far future the universe results either to a de Sitter exponential expansion, or to eternal power-law accelerated expansions. Finally, a detailed study of the scalar perturbations at the linear level reveals that $f(T,\mathcal{T})$ cosmology can be free of ghosts and instabilities for a wide class of ansatzes and model parameters.

31 pages, 15 figures; matches published version

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Cited by in corpus (20)

• Generalized curvature-matter couplings in modified gravity
• $f(Q,T)$ gravity models with observational constraints
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Dynamical features of scalar-torsion theories
• Quantum Cosmology of $f(R,T)$ gravity
• $f(T)$ gravitational baryogenesis
• Cosmological implications of modified gravity induced by quantum metric fluctuations
• Stability of the flat FLRW metric in $f(T)$ gravity
• Unveiling the Dynamics of the Universe
• Growth factor in $f(T,\mathcal{T})$ gravity
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Rip cosmologies, Wormhole Solutions and Big Trip in the $f(T,\mathcal{T})$ theory of gravity
• Efficient electroweak baryogenesis by black holes
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• Spherical collapse and virialization in $f(T)$ gravities
• Beyond Einstein's General Relativity
• Observational constraints and stability in viscous $f(T,\mathcal{T})$ gravity
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Action functional of the Cardassian universe