General Relativity And Cosmology With Engineering Applications
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General Relativity And Cosmology With Engineering Applications
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Author : Harish Parthasarathy
language : en
Publisher: CRC Press
Release Date : 2021-03-30
General Relativity And Cosmology With Engineering Applications written by Harish Parthasarathy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-30 with Science categories.
This is a reference book for researchers working in the field of general relativity, quantum mechanics and quantum gravity. A major part of the book deals with the formulation of special relativistic mechanics, special relativistic fluid dynamics and its generalization to general relativity where the gravitational field is described by a metric tensor. Emphasis is laid on the fact that the general theory of relativity is of tensorial character under all dieomorphisms of space-time and hence its field equations, namely the Einstein field equations for gravitation, the Maxwell equations in a curved space-time geometry and the fluid dynamical equations in curved space time are all valid for all observers in the universe. The emphasis throughout is on the fact that matter generates a gravitational field described by a metric that has a non-vanishing curvature tensor and hence such space-times are inherently curved, ie, cannot be transformed into Minkowsian form. There is a final section on quantum mechanics and quantum field theory which introduces supersymmetry and quantum gravity to the reader. The reader after going through this book will be sufficiently well equipped to start research in quantum gravity, i.e, background independent physics which is as yet an unsolved problem owing to renormalization problems. Note: T& F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
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.
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
An Introduction To General Relativity And Cosmology
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Author : Jerzy Plebanski
language : en
Publisher: Cambridge University Press
Release Date : 2006-08-14
An Introduction To General Relativity And Cosmology written by Jerzy Plebanski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-14 with Science categories.
General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.
Developments In Mathematical And Conceptual Physics
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Author : Harish Parthasarathy
language : en
Publisher: Springer Nature
Release Date : 2020-06-22
Developments In Mathematical And Conceptual Physics written by Harish Parthasarathy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-22 with Science categories.
This book presents concepts of theoretical physics with engineering applications. The topics are of an intense mathematical nature involving tools like probability and random processes, ordinary and partial differential equations, linear algebra and infinite-dimensional operator theory, perturbation theory, stochastic differential equations, and Riemannian geometry. These mathematical tools have been applied to study problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and electrodynamics. A particularly interesting topic of research interest developed in this book is the design of quantum unitary gates of large size using the Feynman diagrammatic approach to quantum field theory. Through this book, the reader will be able to observe how basic physics can revolutionize technology and also how diverse branches of mathematical physics like large deviation theory, quantum field theory, general relativity, and electrodynamics have many common issues that provide the starting point for unifying the whole of physics, namely in the formulation of Grand Unified Theories (GUTS).
Einstein S General Theory Of Relativity
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Author : Brian P. Dolan
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-30
Einstein S General Theory Of Relativity written by Brian P. Dolan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-30 with Science categories.
Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.
Practical Relativity
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Author : Richard N. Henriksen
language : en
Publisher: John Wiley & Sons
Release Date : 2011-07-26
Practical Relativity written by Richard N. Henriksen 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 2011-07-26 with Science categories.
The book is intended to serve as lecture material for courses on relativity at undergraduate level. Although there has been much written on special relativity the present book will emphasize the real applications of relativity. In addition, it will be physically designed with the use of box summaries so as to allow easy access of practical results. The book will be composed of eight chapters. Chapter 1 will give an introduction to special relativity that is the world without gravity. Implications will be presented with emphasis on time dilation and the Doppler shift as practical considerations. In Chapter 2, the four-vector representation of events will be introduced. The bulk of this chapter will deal with flat space dynamics. This will require the generalization of Newton's first and second laws. Some important astronomical applications will be discussed in Chapter 3 and in Chapter 4 some engineering applications of special relativity such as atomic clocks will be presented. Chapter 5 will be dedicated to the thorny question of gravity. The physical motivation of the theory must be examined and the geometrical interpretation presented. Chapter 6 will present astronomical applications of relativistic gravity. These include the usual solar system tests; light bending, time delay, gravitational red-shift, precession of Keplerian orbits. Chapter 7 will be dedicated to relativistic cosmology. Many of the standard cosmological concepts will be introduced, being mathematically simple but conceptually subtle. The concluding chapter will be largely dedicated to the global positioning system as an engineering problem that requires both inertial and gravitational relativity. The large interferometers designed as gravitational wave telescopes will be discussed here.
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.
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 2
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Author : Wei-tou Ni
language : en
Publisher: World Scientific
Release Date : 2017-05-26
One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity Volume 2 written by Wei-tou Ni and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Science categories.
The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.
Gravitation And Cosmology
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Author : Steven Weinberg
language : en
Publisher:
Release Date : 2016
Gravitation And Cosmology written by Steven Weinberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Cosmology categories.