Regular Article - Theoretical Physics
Generalised nonminimally gravity-matter coupled theory
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
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Accepted: 10 April 2018
Published online: 21 April 2018
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 which depends on the scalar torsion T, the boundary term and the matter Lagrangian . Since the function depends on B which appears in , it is possible to also reproduce curvature-matter coupled models such as gravity. Additionally, the full theory also contains some interesting new teleparallel gravity-matter coupled theories of gravities such as or . 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.
© The Author(s), 2018