Applications Of General Relativity
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General Relativity And Its Applications
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Author : Valeria Ferrari
language : en
Publisher: CRC Press
Release Date : 2020-12-22
General Relativity And Its Applications written by Valeria Ferrari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Science categories.
Containing the latest, groundbreaking discoveries in the field, this text outlines the basics of Einstein’s theory of gravity with a focus on its most important astrophysical consequences, including stellar structures, black holes and the physics of gravitational waves. Blending advanced topics - usually not found in introductory textbooks - with examples, pedagogical boxes, mathematical tools and practical applications of the theory, this textbook maximises learning opportunities and is ideal for master and graduate students in Physics and Astronomy. Key features: • Provides a self-contained and consistent treatment of the subject that does not require advanced previous knowledge of the field. • Explores the subject with a new focus on gravitational waves and astrophysical relativity, unlike current introductory textbooks. • Fully up-to-date, containing the latest developments and discoveries in the field.
Applications Of General Relativity
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Author : Philippe Jetzer
language : en
Publisher: Springer Nature
Release Date : 2022-03-11
Applications Of General Relativity written by Philippe Jetzer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-11 with Science categories.
The aim of this textbook is to present in a comprehensive way several advanced topics of general relativity, including gravitational waves, tests of general relativity, time delay, spinors in curved spacetime, Hawking radiation, and geodetic precession to mention a few. These are all important topics in today's research activities from both a theoretical and experimental point of view. This textbook is designed for advanced undergraduate and graduate students to strengthen the knowledge acquired during the core courses on General Relativity. The author developed the book from a series of yearly lectures with the intention of offering a gentle introduction to the field. This book helps understanding the more specialized literature and can be used as a first reading to get quickly into the field when starting research. Chapter-end exercises complete the learning material to master key concepts.
General Relativity
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Author : Norbert Straumann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
General Relativity written by Norbert Straumann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
The foundations are thoroughly developed together with the required mathematical background from differential geometry developed in Part III. The author also discusses the tests of general relativity in detail, including binary pulsars, with much space is devoted to the study of compact objects, especially to neutron stars and to the basic laws of black-hole physics. This well-structured text and reference enables readers to easily navigate through the various sections as best matches their backgrounds and perspectives, whether mathematical, physical or astronomical. Very applications oriented, the text includes very recent results, such as the supermassive black-hole in our galaxy and first double pulsar system
Einstein S General Theory Of Relativity
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Author : Øyvind Grøn
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-24
Einstein S General Theory Of Relativity written by Øyvind Grøn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-24 with Science categories.
This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.
Ray Optics Fermat S Principle And Applications To General Relativity
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Author : Volker Perlick
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Ray Optics Fermat S Principle And Applications To General Relativity written by Volker Perlick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
This book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its own right, making extensive use of the Hamiltonian formalism. This part also includes a detailed discussion of variational principles (i.e., various versions of Fermat's principle) for light rays in general-relativistic media. Some applications, e.g. to gravitational lensing, are worked out. The reader is assumed to have some basic knowledge of general relativity and some familiarity with differential geometry. Some of the results are published here for the first time, e.g. a general-relativistic version of Fermat's principle for light rays in a medium that has to satisfy some regularity condition only.
Introducing General Relativity
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Author : Mark Hindmarsh
language : en
Publisher: John Wiley & Sons
Release Date : 2022-04-14
Introducing General Relativity written by Mark Hindmarsh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-14 with Science categories.
Introducing General Relativity An accessible and engaging introduction to general relativity for undergraduates In Introducing General Relativity, the authors deliver a structured introduction to the core concepts and applications of General Relativity. The book leads readers from the basic ideas of relativity—including the Equivalence Principle and curved space-time—to more advanced topics, like Solar System tests and gravitational wave detection. Each chapter contains practice problems designed to engage undergraduate students of mechanics, electrodynamics, and special relativity. A wide range of classical and modern topics are covered in detail, from exploring observational successes and astrophysical implications to explaining many popular principles, like space-time, redshift, black holes, gravitational waves and cosmology. Advanced topic sections introduce the reader to more detailed mathematical approaches and complex ideas, and prepare them for the exploration of more specialized and sophisticated texts. Introducing General Relativity also offers: Structured outlines to the concepts of General Relativity and a wide variety of its applications Comprehensive explorations of foundational ideas in General Relativity, including space-time curvature and tensor calculus Practical discussions of classical and modern topics in relativity, from space-time to redshift, gravity, black holes, and gravitational waves Optional, in-depth sections covering the mathematical approaches to more advanced ideas Perfect for undergraduate physics students who have studied mechanics, dynamics, and Special Relativity, Introducing General Relativity is an essential resource for those seeking an intermediate level discussion of General Relativity placed between the more qualitative books and graduate-level textbooks.
Gravitation And Cosmology Principles And Applications Of The General Theory Of Relativity
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Author : August Hall
language : en
Publisher: Clanrye International
Release Date : 2023-09-19
Gravitation And Cosmology Principles And Applications Of The General Theory Of Relativity written by August Hall and has been published by Clanrye International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-19 with Science categories.
Cosmology is a field of astronomy that studies the origin and evolution of the universe. General theory of relativity, also called Einstein's theory of gravity, serves as the foundation for comprehending the history and large-scale structure of the universe. A number of significant predictions about the physical world such as the Big Bang origin of the universe, the existence of black holes, effect of gravity on clocks, and gravitational lensing are also based on general relativity theory. According to this theory, numerous astrophysical occurrences produce gravitational waves, which are ripples in the geometry of spacetime and these propagate at the speed of light. This theory provides a unified description of gravity as a geometric property of space and time, also known as the four-dimensional spacetime model. It also improves upon Newton's law of universal gravitation and generalizes special relativity. It serves as the foundation for the fields of relativistic astrophysics and cosmology. This book unfolds the principles and applications of the general theory relativity. It presents researches and studies performed by experts across the globe. The book will help the readers in keeping pace with the rapid changes in this field.
Applied General Relativity
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Author : Michael H. Soffel
language : en
Publisher: Springer Nature
Release Date : 2019-09-23
Applied General Relativity written by Michael H. Soffel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-23 with Science categories.
In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large Baseline Interferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.
Introduction To Einstein S Theory Of Relativity
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Author : Øyvind Grøn
language : en
Publisher: Springer Nature
Release Date : 2020-05-27
Introduction To Einstein S Theory Of Relativity written by Øyvind Grøn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-27 with Science categories.
The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms. Updated throughout, the book contains more detailed explanations and extended discussions of several conceptual points, and strengthened mathematical deductions where required. It includes examples of work conducted in the ten years since the first edition of the book was published, for example the pedagogically helpful concept of a "river of space" and a more detailed discussion of how far the principle of relativity is contained in the general theory of relativity. Also presented is a discussion of the concept of the 'gravitational field' in Einstein's theory, and some new material concerning the 'twin paradox' in the theory of relativity. Finally, the book contains a new section about gravitational waves, exploring the dramatic progress in this field following the LIGO observations. Based on a long-established masters course, the book serves advanced undergraduate and graduate level students, and also provides a useful reference for researchers.
Gravitation And Cosmology
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Author : Steven Weinberg
language : en
Publisher: John Wiley & Sons
Release Date : 1972
Gravitation And Cosmology written by Steven Weinberg and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Science categories.
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.