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.
Highlights
One very interesting and alternative theory of gravity is the teleparallel equivalent of general relativity (TEGR) or “teleparallel gravity”
When one modifies the action as an arbitrary function f (T ) or f (R), there will be a difference in their field equations due to the fact that the boundary term B contributes
In this paper, we present a new modified teleparallel theory of gravity based on an arbitrary function f (T, B, Lm) where Lm is the matter Lagrangian
Summary
One very interesting and alternative theory of gravity is the teleparallel equivalent of general relativity (TEGR) or “teleparallel gravity”. When one modifies the action as an arbitrary function f (T ) or f (R), there will be a difference in their field equations due to the fact that the boundary term B contributes This was fully studied in [35] where the authors introduced a new theory, the so-called f (T, B) gravity, which can recover either f (T ) gravity or f (T, B) = f (−T + B) = f (R) as special cases. Some alternatives models have been proposed such as f (R, T ) [38], where T is the trace of the energy-momentum tensor or non-minimally coupled theories between the curvature scalar and the matter Lagrangian f1(R)+ f2(R)Lm [39] Another more general theory is the so-called f (R, Lm) where an arbitrary function of R and Lm is considered in the action [38].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
