Generalised nonminimally gravity-matter coupled theory

Abstract

In this paper, a new generalised gravity-matter coupled theory of gravity is presented. This theory is constructed by assuming an action with an arbitrary function $f(T,B,L_m)$ which depends on the scalar torsion $T$, the boundary term $B={\nabla }_{\mu }{T}^{\mu }$ and the matter Lagrangian $L_m$. Since the function depends on $B$ which appears in $R=-T+B$, it is possible to also reproduce curvature-matter coupled models such as $f(R,L_m)$ gravity. Additionally, the full theory also contains some interesting new teleparallel gravity-matter coupled theories of gravities such as $f(T,L_m)$ or $C_{1}T+f(B,L_m)$. The complete dynamical system for flat FLRW cosmology is presented and for some specific cases of the function, the corresponding cosmological model is studied. When it is necessary, the connection of our theory and the dynamical system of other well-known theories is discussed.

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Cited by in corpus (20)

• Teleparallel Gravity: From Theory to Cosmology
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Cosmological viable models in $f(T,B)$ gravity as solutions to the $H_0$ tension
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• Generalized Tachyonic Teleparallel cosmology
• On-shell Lagrangian of an ideal gas
• Geodesic Congruences and a Collapsing Stellar Distribution in f (T ) Theories
• Modified Teleparallel Gravity induced by quantum fluctuations
• Dynamical stability of an interacting quintessence with varying-mass dark matter particles in Lyra manifold
• Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• Deviations from the von Laue condition: Implications for the on-shell Lagrangian of particles and fluids
• Cosmological implications and causality in $f(R,L_m,T)$ gravity theory with observational constraints
• Bayesian and Machine-Learning Analyses of Nonminimal $f(Q)$ Gravity and $H_0$ Tension
• Lagrangian Identity and Mass Evolution of Particle-like Objects in Nonminimally Coupled Gravity