Abstract Exponentially expanding space–times play a central role in contemporary cosmology, most importantly the theory of inflation and dark energy driven expansion late universe. In this work, we give complete list de Sitter solutions semiclassical Einstein equation (SCE), where classical gravity is coupled to expected value renormalized stress–energy tensor free quantum field Bunch–Davies st...

Starting from the three-dimensional Gross-Pitaevskii equation (3D GPE) we derive a 1D generalized nonpolynomial Schrödinger equation (1D g-NPSE) which describes the dynamics of Bose-Einstein condensates under the action of a generic potential in the longitudinal axial direction and of an anisotropic harmonic potential in the transverse radial direction. This equation reduces to the familiar 1D ...