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General relativity (Physics) --- Cosmology. --- General relativity (Physics).
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"This manuscript aims to be a textbook for a one semester introduction to General Relativity for advanced undergraduate physics majors and engineers. The book is concise so that all of its material could be covered in the one semester time frame. In addition, the readers are introduced to the guts of the subject quickly without advanced mathematics. Students are daunted by very thick books that they know won't be completely covered. They also are impatient about wading through higher mathematics in a one semester course. Though concise, the theory development is transparent and the readers are exposed to the possible analytic calculations. The full solutions to some important problems are provided, and the experimental evidence is discussed"--
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"Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics"--
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"Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field. Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics"--
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"This textbook explores approximate solutions to general relativity and their consequences. It offers a unique presentation of Einstein's theory by developing powerful methods that can be applied to astrophysical systems. Beginning with a uniquely thorough treatment of Newtonian gravity, the book develops post-Newtonian and post-Minkowskian approximation methods to obtain weak-field solutions to the Einstein field equations. The book explores the motion of self-gravitating bodies, the physics of gravitational waves, and the impact of radiative losses on gravitating systems. It concludes with a brief overview of alternative theories of gravity. Ideal for graduate courses on general relativity and relativistic astrophysics, the book examines real-life applications, such as planetary motion around the Sun, the timing of binary pulsars, and gravitational waves emitted by binary black holes. Text boxes explore related topics and provide historical context, and over 100 exercises present challenging tests of the material covered in the main text"--
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"This introductory textbook, which is positioned at an intermediate level between the more qualitative books at the low end and the many graduate-level standard textbooks, is an accessible introduction to general relativity primarily aimed at undergraduates studying mechanics, dynamics and special relativity. The text provides structured outlines to the concepts and applications of the topic, leading the reader from the basic ideas of relativity, such as the cosmological principle to the Friedmann equation, on to some more advanced ideas such as orbits in the Schwarzschild Geometry. At the end of each chapter there are appropriate problems. A wide-range of classical and modern topics are covered, exploring observational successes and particle physics to explain many popular principles including space-time, redshift, gravity, and fascinating topics such as black holes and dark matter. This timely textbook also provides a section of advanced topics that offers more detailed mathematical approaches and advanced ideas as a basis for further studies to prepare the reader for understanding more specialised texts."
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