Inhomogeneous gravity

Inhomogeneous Gravity

We study the inhomogeneous cosmological evolution of the Newtonian gravitational ’constant’ G in the framework of scalar-tensor theories. We investigate the differences that arise between the evolution of G in the background universes and in local inhomogeneities that have separated out from the global expansion. Exact inhomogeneous solutions are found which describe the effects of masses embed...

Geodesically complete nondiagonal inhomogeneous cosmological solutions in dilatonic gravity with a stiff perfect fluid

New nondiagonal G2 inhomogeneous cosmological solutions are presented in a wide range of scalar-tensor theories with a stiff perfect fluid as a matter source. The solutions have no big-bang singularity or any other curvature singularities. The dilaton field and the fluid energy density are regular everywhere, too. The geodesic completeness of the solutions is investigated. 04.50.+h, 04.20.Jb, 9...

Geodesically complete nondiagonal inhomogeneous cosmological solutions in dilatonic gravity with stiff perfect fluid

New nondiagonal G2 inhomogeneous cosmological solutions are presented in a wide range of scalar-tensor theories with a stiff perfect fluid as a matter source. The solutions have no big-bang singularity or any other curvature singularities. The dilaton field and the fluid energy density are everywhere regular, too. The geodesic completeness of the solutions is investigated. 04.50.+h, 04.20.Jb, 9...

Studies on Santilli’s Locally Anisotropic and Inhomogeneous Isogeometries: I. Isobundles and Generalized Isofinsler Gravity

We generalize the geometry of Santilli’s locally anisotropic and inhomogeneous isospaces to the geometry of vector isobundles provided with nonlinear and distinguished isoconnections and isometric structures. We present, apparently for the first time, the isotopies of Lagrange, Finsler and Kaluza–Klein spaces. We also continue the study of the interior, locally anisotropic and inhomogeneous gra...

Inhomogeneous Two-Parameter Abstract Cauchy Problem