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Contributions to Einsteinian gravity are considered.Contributions are considered, for which the structure of the spacetime results modified. The modifications are due to both contributions from the fiber, and from the Lagrangean formulation. Quantum implementations are proposed. As a result, the description of the spacetime is enriched of new structures, which can target the description of Astrophysical phenomena and quantum Earth-based experiments.

The book is aimed at describing spherically-symmetric non-rotating blackkhole spacetimes surrounded of media; the media considered are the Relativistic dusts, the Relativistic plasmas and the Relativistic gaseous materials. The General-Relativistic implementation established after the definition of the positions and of the velocities of the generic observer; the configurations are analytically calculated after the stress-energy tensor. The Relativistic-Astrophysical implementation is provided with after the description of the investigation of the phenomena which characterize the several...

Automata from topological subshifts are investigated.The index set of the automata is newly defined from the directed acyclic graphs, whose trees are studied after substochastic probability matrixes, from marginalization of the opportune variables after Tucker-like method, of the new suitable accumulation, time-dependent model. The automata are described after a dynamical system to which the Tomita-Takesaki theory is proven to be applied.The Rokhlin aperiodic endomorphism is applied the Margulis foliation theory on the open topological set;The techniques of the new foliation allow one to...

The analytical General-Relativistic theory of generic gravitating transonic viscous accretion objects is newly written in spherically-symmetric non-ratating spacetimes in the reappraisal of the pioneering work of Shakura and Sunayev for cylindrical objects. The non-linearized theory of instabilities is newly analyzed and resolved.The luminosity of the accretion objects is newly calculated after the determination of the available cross sections.The transonic behaviour of the accretion objects onto the celestial bodies is newly exactly analytically determined. The gravitational potential of the...

This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of...