Brans–Dicke type teleparallel scalar–tensor theory

Abstract

The teleparallel alternative of general relativity which is based on torsion instead of curvature is considered as the gravitational sector to explore the dark universe. Inspired from the well-known Brans–Dicke gravity, here, we introduce a new proposal for the galactic dark energy effect. The new model includes a scalar field with self-interacting potential and a non-minimal coupling between the gravity and scalar field. Additionally, we analyze the idea via the Noether symmetry approach and thermodynamics.

Noether charge and black hole entropy in teleparallel gravity

“…We therefore conclude that, unlike the Lagrangians introduced in Refs. [54][55][56][57] to be used in scalar-tensor (or even "Brans-Dicke") teleparallel gravity theories, these extensions of teleparallel gravity would be more accurately described by letting their Lagrangian acquire a coupling between the gradient of the scalar field and torsion.…”

Phytoplankton and Zooplankton Diversity and Water Quality Assessment of Three Ponds in Hooghly District (West Bengal, India)

“…We set the model parameters γ and β to γ = 16.9 and β = 0.31, respectively, to build a physically valid and realistic stellar model. Finally, utilizing the recently obtained data of the EXO 1785 -248 together with different values of the coupling parameter α ∈ [4,8], we arrive at the numerical results displayed in TABLE I. α A (km −2 ) χ 4 0.00209931 -0.000237665 5 0.00193297 -0.000224617 6 0.00180199 -0.000213899 7 0.00169525 -0.000204864 8 0.00160602 -0.000197097…”

“…An ideal illustration of how to explain the distinctions between General Relativity (GR) and its modification is the study of a massive gravitational field in dense compact objects. Several modified theories of gravity spanning a wide range of issues have been documented in the literature [1][2][3][4][5][6][7][8]. In this connection, it is to be noted that a lot of research has been done on the effects of local anisotropy on the global properties of relativistic compact objects as anisotropic matter distributions, or unequal radial and transverse pressure: p r = p t , are crucial to the stability and equilibrium of the stellar structure [9][10][11][12][13].…”

Viable super inflation scenario from F(T) modified teleparallel gravity

“…A generalized version of the torsion gravity is F(T ) gravity theory constructed by [18], where the functional form of T is appeared in the action integral (which is similar to the structure of the F(R) gravity in the Einstein-Hilbert action). In the context of F(T ) gravity, late-time cosmic acceleration (dark energy) of the universe was discussed in several studies [19][20][21][22][23][24][25][26][27][28], and particular cosmological solutions and applications can be found in Refs. [29,30].…”