The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological spacetimes. --

An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.

Weinberg's 1972 work, in his description, had two purposes. The first was practical to bring together and assess the wealth of data provided over the previous decade while realizing that newer data would come in even as the book was being printed. He hoped the comprehensive picture would prepare the reader and himself to that new data as it emerged. The second was to produce a textbook about general relativity in which geometric ideas were not given a starring role for (in his words) too great an emphasis on geometry can only obscure the deep connections between gravitation and the rest of physics.

The authors continue the book series entitled Contemporary Fundamental Physics. Edited by Professor Doctor V. V. Dvoeglazov from Universidad de Zacatecas, Mexico, this thematic issue - Relativity, Gravitation, Cosmology: Beyond Foundations - contains chapters related to contemporary problems of modern physics. This book includes an Editorial Introduction and eleven chapters, commentary, and several reprints. This book may also be considered as the continuation of past publications found in the authors' own series concerning relativity. This issue includes contributions from M. Land, V. V. Varlamov, E. Kapuscik, I. A. Vernigora and Yu. G. Rudoy, E. M. Ovsiyuk, V. V. Kisel and V. M. Redkov, O. V. Veko, S. I. Kruglov, B. G. Sidharth, A. Gutierrez-Rodriguez, M. A. Hernandez-Ruiz and A. Gonzalez-Sanchez, and V. V. Dvoeglazov. Older research concerns quantum field theory and gravitation theories. Recent research has been presented at the XI Workshop (2015) and the X and XI Schools (2014 and 2016) of the Gravitation Division of the Sociedad Mexicana de Fisica. The book will be useful to researchers, professors, and students of physics and mathematics.

Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.

This volume consists of 14 papers. The editors are well-known experts in the problems of modern physics. R. Yamaleev, J. Kocinski and M. Wierzbicki, R. Kühne, J. Garecki, S. Tiwari, R. Amoroso and J.-P. Vigier, A. Camacho, S. Ghosh, L. Horwitz and O. Oron, G.-j. Ni, I. Eganova, R. Kiehn, R. Cahill are among the authors. New developments in the well-established theories: Kaluza-Klein 5-dimensional theories, torsion, the Weyl unified theory, quantum foam, space-time non-commutativity, negative mass paradox in the neutrino physics etc.

Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.

· Preliminaries · The General Theory of Relativity · Applications of Feneral Relativity · Formal Developments · Cosmology

Gravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned. Solutions to the exercises are provided as supplementary material in the online chapters.

Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers