Abstract The Bekenstein’s theorem allows us to generate an Einstein-conformal scalar solution from a single Einstein-ordinary solution. In this article, we extend the Einstein–Maxwell-scalar (EMS) theory with non-minimal coupling between and Maxwell field when potential is also included. As applications of extended theorem, well-known static dilaton rotating specific are considered, new conform...

A new gravity model with the function F (R) = (1/β) arctan (βR− βR) instead of the Ricci scalar in the Einstein–Hilbert action, describing inflation of the Universe, is suggested and analyzed. We obtain constant curvature solutions of the model in the Jordan frame. Performing the conformal transformation of the metric, the potential and the mass of a scalar degree of freedom in the Einstein fra...

We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the methods of dynamical systems for the decoupled equation of the Jordan frame scalar field we find the fixed points of flows in two cases: potential domination and m...

interaction of meso — tetrakis (p-sulphonato phenyl) porphyrin (hereafter abbreviated to tspp)with na+ has been examined using hf level of theory with 6-31g* basis set. counterpoise (cp)correction has been used to show the extent of the basis set superposition error (bsse) on thepotential energy curves. the numbers of na+ have a significant effect on the calculated potentialenergy curve (includ...

Wavefunctions of a relativistic heavy quark-light quark (Q, q) system described by a Dirac hamiltonian with a linear Lorentz scalar confinement potential (S) are analyzed. It is found that they are normalizable and that they do account for the Klein paradox. Calculation of the slope of the Isgur-Wise function at zero recoil point gives ξ(1) = −1.05 ± 0.02. This suggests that if one considers re...

We present a calculation of the ground state energy of massive spinor fields and massive scalar fields in the background of an inhomogeneous magnetic string with potential given by a delta function. The zeta functional regularization is used and the lowest heat kernel coefficients are calculated. The rest of the analytical calculation adopts the Jost function formalism. In the numerical part of...

We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential. After introducing the limit of general relativity we describe the details of the phase space geometry. Using the methods of dynamical systems for the decoupled equation of the Jordan frame scalar field we find the fixed ...