general relativity basics and beyond

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General Relativity

Author : Ghanashyam Date
ISBN : 9781466552715
Genre : Science
File Size : 41. 52 MB
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A Broad Perspective on the Theory of General Relativity and Its Observable Implications General Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects. Employing the pedagogical style of a textbook, it includes essential ideas and just enough background material needed for readers to appreciate the issues and current research. Basics The first five chapters form the core of an introductory course on general relativity. The author traces Einstein’s arguments and presents examples of space-times corresponding to different types of gravitational fields. He discusses the adaptation of dynamics in a Riemannian geometry framework, the Einstein equation and its elementary properties, and different phenomena predicted or influenced by general relativity. Beyond Moving on to more sophisticated features of general relativity, the book presents the physical requirements of a well-defined deterministic framework for non-gravitational dynamics and describes the characterization of asymptotic space-times. After covering black holes, gravitational waves, and cosmological space-times, the book examines the evolutionary interpretation for the class of globally hyperbolic space-times, explores numerical relativity, and discusses approaches that address the challenges of general relativity.

General Relativity Without Calculus

Author : Jose Natario
ISBN : 3642214525
Genre : Science
File Size : 40. 16 MB
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“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.

Topics On Quantum Gravity And Beyond Essays In Honor Of Louis Witten On His Retirement

Author : Mansouri Freydoon
ISBN : 9789814553421
Genre :
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This festschrift was conceived in connection with the symposium 'Topics on Quantum Gravity and Beyond,' held in honor of Louis Witten. The majority of the essays deal with problems on the frontiers of quantum gravity and string theories. There are also articles on atomic, nuclear, and particle physics, to name a few.

Explanation Beyond Causation

Author : Alexander Reutlinger
ISBN : 9780198777946
Genre : Philosophy
File Size : 54. 26 MB
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What forms does explanation take if it is not based on causation? Fifteen leading philosophers explore this hot topic, arising from a shift in philosophical understanding of the nature of explanation which reflects actual explanatory practices in science, mathematics, and philosophy.

Supersymmetry And String Theory

Author : Michael Dine
ISBN : 9781139462440
Genre : Science
File Size : 53. 24 MB
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The past decade has witnessed dramatic developments in the field of theoretical physics. This book is a comprehensive introduction to these recent developments. It contains a review of the Standard Model, covering non-perturbative topics, and a discussion of grand unified theories and magnetic monopoles. It introduces the basics of supersymmetry and its phenomenology, and includes dynamics, dynamical supersymmetry breaking, and electric-magnetic duality. The book then covers general relativity and the big bang theory, and the basic issues in inflationary cosmologies before discussing the spectra of known string theories and the features of their interactions. The book also includes brief introductions to technicolor, large extra dimensions, and the Randall-Sundrum theory of warped spaces. This will be of great interest to graduates and researchers in the fields of particle theory, string theory, astrophysics and cosmology. The book contains several problems, and password protected solutions will be available to lecturers at www.cambridge.org/9780521858410.

Journal Of The Physical Society Of Japan

Author :
ISBN : UOM:39015072598827
Genre : Physics
File Size : 37. 32 MB
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Special Relativity

Author : Patricia M. Schwarz
ISBN : 1139449508
Genre : Science
File Size : 72. 95 MB
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This book provides a thorough introduction to Einstein's special theory of relativity, suitable for anyone with a minimum of one year's university physics with calculus. It is divided into fundamental and advanced topics. The first section starts by recalling the Pythagorean rule and its relation to the geometry of space, then covers every aspect of special relativity, including the history. The second section covers the impact of relativity in quantum theory, with an introduction to relativistic quantum mechanics and quantum field theory. It also goes over the group theory of the Lorentz group, a simple introduction to supersymmetry, and ends with cutting-edge topics such as general relativity, the standard model of elementary particles and its extensions, superstring theory, and a survey of important unsolved problems. Each chapter comes with a set of exercises. The book is accompanied by a CD-ROM illustrating, through interactive animation, classic problems in relativity involving motion.

Gravity Where Do We Stand

Author : Roberto Peron
ISBN : 9783319202242
Genre : Science
File Size : 54. 56 MB
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This book presents an overview of the current understanding of gravitation, with a focus on the current efforts to test its theory, especially general relativity. It shows how the quest for a deeper theory, which would possibly incorporate gravity in the quantum realm, is more than ever an open field. The majority of the contributions deals with the manifold facets of “experimental gravitation”, but the book goes beyond this and covers a broad range of subjects from the foundations of gravitational theories to astrophysics and cosmology. The book is divided into three parts. The first part deals with foundations and Solar System tests. An introductory pedagogical chapter reviews first Newtonian gravitational theory, special relativity, the equivalence principle and the basics of general relativity. Then it focuses on approximation methods, mainly the post-Newtonian formalism and the relaxed Einstein equations, with a discussion on how they are used in treating experimental tests and in the problem of generation and detection of gravitational waves. Following this is a set of chapters describing the most recent experiments, techniques and observations on the testing of gravity theories in the laboratory, around the Earth and in the Solar System. The second part is dedicated to astrophysical topics deeply linked with the study of gravitation, namely binary pulsars and the perspective of direct detection of gravitational waves. These cases are paradigmatic in that the gravitational signals act at the same time as messengers helping us to understand the properties of important and wide classes of astrophysical objects. The third part explores the many open issues in current knowledge of gravitation machinery, especially related to astrophysical and cosmological problems and the way possible solutions to them impact the quest for a quantum theory of gravitation and unified theory. Included is a selection of the many possible paths, giving a hint to the subtleties one is called upon. Whenever possible, a close link to observational constraints and possible experimental tests is provided. In selecting the topics of the various contributions, particular care has been devoted to ensure their fit in a coherent representation of our understanding of gravitational phenomena. The book is aimed at graduate level students and will form a valuable reference for those working in the field.

Active Galactic Nuclei

Author : Julian Henry Krolik
ISBN : 0691011516
Genre : Science
File Size : 71. 11 MB
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This is the first comprehensive treatment of active galactic nuclei--the cosmic powerhouses at the core of many distant galaxies. The term active galactic nuclei refers to quasars, radio galaxies, Seyfert galaxies, blazars, and related objects, all of which are believed to share a similar central engine--a supermassive black hole many times the mass of the Sun. Astrophysicists have studied these phenomena for the past several decades and have begun to develop a consensus about many of their properties and internal mechanisms. Julian Krolik, one of the world's leading authorities on the subject, sums up leading ideas from across the entire range of research, making this book an invaluable resource for astronomers, physicists interested in applications of the theory of gravitation, and graduate students. Krolik begins by addressing basic questions about active galactic nuclei: What are they? How can they be found? How do they evolve? He assesses the evidence for massive black holes and considers how they generate power by accretion. He discusses X-ray and g-ray emission, radio emission and jets, emission and absorption lines, anisotropic appearance, and the relationship between an active nucleus and its host galaxy. He explores the mysteries of what ignites, fuels, and extinguishes active galactic nuclei, and concludes with a general review of where the field now stands. The book is unique in paying careful attention to relevant physics as well as astronomy, reflecting in part the importance of general relativity to understanding active galactic nuclei. Clear, authoritative, and detailed, this is crucial reading for anyone interested in one of the most dynamic areas of astrophysics today.

A Most Incomprehensible Thing Notes Towards A Very Gentle Introduction To The Mathematics Of Relativity

Author :
ISBN : 9780957389403
Genre :
File Size : 89. 49 MB
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Einstein’s theories of special and general relativity together form a cornerstone of modern physics. Based on the notion of curved, four-dimensional spacetime, relativity helps to explain phenomena as diverse as time dilation, length contraction, mass-energy equivalence, the formation of black holes and the evolution of the Universe. Using clear and accessible language, and with numerous fully solved problems, this self-study guide is aimed at the general reader who wants to move beyond maths-lite popularisations and tackle the essential mathematics of this fascinating theory. For those with minimal mathematical background, the first chapter provides a crash course in elementary mathematics. The reader is then taken gently by the hand and guided through a wide range of topics including Newtonian mechanics, the Lorentz transformations, tensor calculus, the Schwarzschild solution, simple black holes and Friedmann-Robertson-Walker cosmological models. Understand even the basics of Einstein's amazing theory and the world will never seem the same again.

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