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Quantum gravity is among the most fascinating problems in physics. It modifies our understanding of time, space and matter. The recent development of the loop approach has allowed us to explore domains ranging from black hole thermodynamics to the early Universe. This book provides readers with a simple introduction to loop quantum gravity, centred on its covariant approach. It focuses on the physical and conceptual aspects of the problem and includes the background material needed to enter this lively domain of research, making it ideal for researchers and graduate students. Topics covered include quanta of space; classical and quantum physics without time; tetrad formalism; Holst action; lattice QCD; Regge calculus; ADM and Ashtekar variables; Ponzano-Regge and Turaev-Viro amplitudes; kinematics and dynamics of 4D Lorentzian quantum gravity; spectrum of area and volume; coherent states; classical limit; matter couplings; graviton propagator; spinfoam cosmology and black hole thermodynamics.

Quantum gravity --- Quantum cosmology

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Due to the QC design discussed in this volume, a hedge fund company has agreed to invest 10 Million British pounds to the researchers of this volume, see more from the press release (www.prlog.org/10681559). Every hundred years or so, a unique groundbreaking Copernican class volume arises unexpectedly. From ashes long thought cold of Einstein's static universe model, for the first time technically viable alternative interpretations to all pillars of Big Bang cosmology are presented in the context of a profound new "continuous-state" cosmological paradigm able to elucidate many contemp

Quantum cosmology. --- Anthropic principle. --- Supersymmetry.

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Experts Plebański and Krasiński provide a thorough introduction to the tools of general relativity and relativistic cosmology. Assuming familiarity with advanced calculus, classical mechanics, electrodynamics and special relativity, the text begins with a short course on differential geometry, taking a unique top-down approach. Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric tensor and the (pseudo)-Riemannian geometry introduced, specialising the general results to this case. The main text describes relativity as a physical theory, with applications to astrophysics and cosmology. It takes the reader beyond traditional courses on relativity through in-depth descriptions of inhomogeneous cosmological models and the Kerr metric. Emphasis is given to complete and clear derivations of the results, enabling readers to access research articles published in relativity journals.

General relativity (Physics) --- Quantum cosmology.

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This book lays the foundations of quantum cosmology, developing classical cosmology and quantum physics based on general principles without requiring detailed background knowledge in these fields. Throughout the book, the discussion focuses on the physical meaning of space-time--classical or quantum--and on the important requirement of general covariance. Various classical models are derived from this condition and applied to basic questions in cosmology and the physics of black holes. The book's introduction of relevant ingredients from quantum physics makes it possible to derive fundamental features of quantum cosmology, to present the main approaches to quantum gravity, including string theory and causal dynamical triangulations, and to outline some of their cosmological implications. It is an essential guide for researchers in quantum gravity and astrophysicists interested in fundamental aspects of cosmology.

Quantum cosmology. --- Cosmology & the universe. --- SCIENCE / Cosmology.

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Quantum cosmology --- Space and time --- Quantum field theory