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Author : Aziz Khan Jahja
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.:/5 (17 download)
Download or read book Applicability of Fluid Dynamics in General Relativity written by Aziz Khan Jahja and published by . This book was released on 1983 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harish Parthasarathy
Publisher : CRC Press
ISBN 13 : 1000387658
Total Pages : 691 pages
Book Rating : 4.0/5 (3 download)
Download or read book General Relativity and Cosmology with Engineering Applications written by Harish Parthasarathy and published by CRC Press. This book was released on 2021-03-30 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Demetrios Christodoulou
Publisher : European Mathematical Society
ISBN 13 : 9783037190050
Total Pages : 164 pages
Book Rating : 4.1/5 (9 download)
Download or read book Mathematical Problems of General Relativity I written by Demetrios Christodoulou and published by European Mathematical Society. This book was released on 2008 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity is a theory proposed by Einstein in 1915 as a unified theory of space, time and gravitation. It is based on and extends Newton's theory of gravitation as well as Newton's equations of motion. It is thus fundamentally rooted in classical mechanics. The theory can be seen as a development of Riemannian geometry, itself an extension of Gauss' intrinsic theory of curved surfaces in Euclidean space. The domain of application of the theory is astronomical systems. One of the mathematical methods analyzed and exploited in the present volume is an extension of Noether's fundamental principle connecting symmetries to conserved quantities. This is involved at a most elementary level in the very definition of the notion of hyperbolicity for an Euler-Lagrange system of partial differential equations. Another method, the study and systematic use of foliations by characteristic (null) hypersurfaces, is in the spirit of Roger Penrose's approach in his incompleteness theorem. The methods have applications beyond general relativity to problems in fluid mechanics and, more generally, to the mechanics and electrodynamics of continuous media. The book is intended for advanced students and researchers seeking an introduction to the methods and applications of general relativity.
Author : A. M. Anile
Publisher : Cambridge University Press
ISBN 13 : 9780521304061
Total Pages : 352 pages
Book Rating : 4.3/5 (4 download)
Download or read book Relativistic Fluids and Magneto-fluids written by A. M. Anile and published by Cambridge University Press. This book was released on 1990-02-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified and systematic treatment of the main results and techniques of relativistic fluid dynamics with an emphasis on waves and shock waves. The first four chapters provide an introduction to the fundamental principles of relativistic fluid dynamics and magneto-fluids. The remaining chapters present specific topics, including non-linear electromagnetic waves in relativistic cold plasmas, relativistic asymptotic waves, and relativistic shock waves. Examples of the applications of the theory to plasma physics, nuclear physics and astrophysics are presented.
Author : Nikolaos Athanasiou
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (124 download)
Download or read book Large Data Problems in Fluid Dynamics and General Relativity written by Nikolaos Athanasiou and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Romatschke
Publisher : Cambridge University Press
ISBN 13 : 1108483682
Total Pages : 207 pages
Book Rating : 4.1/5 (84 download)
Download or read book Relativistic Fluid Dynamics in and out of Equilibrium written by Paul Romatschke and published by Cambridge University Press. This book was released on 2019-05-09 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.
Author : C. Cattaneo
Publisher : Springer Science & Business Media
ISBN 13 : 3642110991
Total Pages : 420 pages
Book Rating : 4.6/5 (421 download)
Download or read book Relativistic Fluid Dynamics written by C. Cattaneo and published by Springer Science & Business Media. This book was released on 2011-06-08 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pham Mau Quam: Problèmes mathématiques en hydrodynamique relativiste.- A. Lichnerowicz: Ondes de choc, ondes infinitésimales et rayons en hydrodynamique et magnétohydrodynamique relativistes.- A.H. Taub: Variational principles in general relativity.- J. Ehlers: General relativistic kinetic theory of gases.- K. Marathe: Abstract Minkowski spaces as fibre bundles.- G. Boillat: Sur la propagation de la chaleur en relativité.
Author : Luciano Rezzolla
Publisher : OUP Oxford
ISBN 13 : 0191509914
Total Pages : 752 pages
Book Rating : 4.1/5 (915 download)
Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by OUP Oxford. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.
Author : Carles Bona
Publisher : Springer
ISBN 13 : 3642011640
Total Pages : 226 pages
Book Rating : 4.6/5 (42 download)
Download or read book Elements of Numerical Relativity and Relativistic Hydrodynamics written by Carles Bona and published by Springer. This book was released on 2009-07-14 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.
Author : A. M. Anile
Publisher : Cambridge University Press
ISBN 13 : 9780521018128
Total Pages : 352 pages
Book Rating : 4.0/5 (181 download)
Download or read book Relativistic Fluids and Magneto-fluids written by A. M. Anile and published by Cambridge University Press. This book was released on 2005-12-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified and systematic treatment of the main results and techniques of relativistic fluid dynamics with an emphasis on waves and shock waves. The first four chapters provide an introduction to the fundamental principles of relativistic fluid dynamics and magneto-fluids. The remaining chapters present specific topics, including non-linear electromagnetic waves in relativistic cold plasmas, relativistic asymptotic waves, and relativistic shock waves. Examples of the applications of the theory to plasma physics, nuclear physics and astrophysics are presented.
Author : Christian Fronsdal
Publisher :
ISBN 13 : 9789811200687
Total Pages : 354 pages
Book Rating : 4.2/5 (6 download)
Download or read book Adiabatic Thermodynamics Of Fluids written by Christian Fronsdal and published by . This book was released on 2020 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3.10. The Third Law and the Normalization of Entropy -- 3.11. Galilei Invariance -- 3.12. The Space of Variations -- Taking stock -- 4. Applications to Simple Systems -- 4.1. Propagation of Sound in an Ideal Gas -- Radial wave -- 4.2. The van der Waals Fluid -- 4.3. Saturation -- Interpretation of the velocity potential -- 4.4. Dew Point, Bubble Point, Maxwell's Rule -- Normalizing the free energy density -- Calculating the dew point for Argon -- 4.5. The Critical Point -- 4.6. Sound Propagation at the Critical Point -- 4.7. Refinements of the Expression for the Internal Energy.
Author : Carlo Cercignani
Publisher : Birkhäuser
ISBN 13 : 3034881657
Total Pages : 391 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Relativistic Boltzmann Equation: Theory and Applications written by Carlo Cercignani and published by Birkhäuser. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Author : Barrett Stone Baldwin
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (317 download)
Download or read book Application to Fluid Dynamics of the Theory of Reversible Heat Addition written by Barrett Stone Baldwin and published by . This book was released on 1959 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sylvie Benzoni-Gavage
Publisher : Springer Science & Business Media
ISBN 13 : 3540757120
Total Pages : 1117 pages
Book Rating : 4.5/5 (47 download)
Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Sylvie Benzoni-Gavage and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 1117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
Author : Stephen Winters-Hilt
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.9/5 (888 download)
Download or read book The Dynamics of Fields, Fluids, and Gauges written by Stephen Winters-Hilt and published by . This book was released on 2023-07-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modern exposition of classical field theory, including the centrality of Lorentz Invariance and Gauge Invariance in the formalism. The exposition consists, throughout, of the presentation of interesting problems with many solved, the others left for the reader. In this book the focus is on classical fields, beginning with simple notions of field and fluid in 2D and 3D (Ch. 2), then a brief examination of Fluid Dynamics up to Shock formation (Ch. 3). Chapters 4-7 cover electromagnetic (EM) fields. In the process of examining the properties of EM fields we will find that they are Lorentz invariant (Ch. 8) and Gauge invariant (Ch. 10). A generalization of the applicability of Lorentz Invariance to all 4-vectors gives rise to Special Relativity (Ch. 8) which then generalizes (non-locally) to give General Relativity (Ch. 9). The final chapter, Ch. 11, is on Lie Groups and Gauge Covariant derivatives, where we examine the mathematical underpinnings of the Lorentz transform more closely. Particular attention is given to the two forms of Lorentz Invariant object: the 4-vector and the Lorentzian spinor. The invariance of 4-vectors under Lorentz Transform is SO(3), while that of the spinor is SU(2). We show the U(1) gauge theory of EM and then examine the Yang Mills family of Gauge theories, SU(2) and SU(3) in particular, since this is the basis of the gauge theory indicated by the Standard model. The most complicated aspect of all the groups examined, however, is the relation SU(2)SO(3), thus special attention is given to mathematical exploration of this mapping. Since the focus is on classical field theory in a fixed geometry, the main physical example is EM. In this setting alpha appears as the coupling constant. After the extensive description of classical field theory in fixed geometry, the foundation will be established for the two major branches of physics that follow in Books 3 and 4 of the Series, on General Relativity and Quantum Mechanics.
Author : Harish Parthasarathy
Publisher : Springer Nature
ISBN 13 : 9811550581
Total Pages : 454 pages
Book Rating : 4.8/5 (115 download)
Download or read book Developments in Mathematical and Conceptual Physics written by Harish Parthasarathy and published by Springer Nature. This book was released on 2020-06-22 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Luc Blanchet
Publisher : Springer Science & Business Media
ISBN 13 : 9048130158
Total Pages : 634 pages
Book Rating : 4.0/5 (481 download)
Download or read book Mass and Motion in General Relativity written by Luc Blanchet and published by Springer Science & Business Media. This book was released on 2011-01-19 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the infinitesimal scale of particle physics to the cosmic scale of the universe, research is concerned with the nature of mass. While there have been spectacular advances in physics during the past century, mass still remains a mysterious entity at the forefront of current research. Our current perspective on gravitation has arisen over millennia, through the contemplation of falling apples, lift thought experiments and notions of stars spiraling into black holes. In this volume, the world’s leading scientists offer a multifaceted approach to mass by giving a concise and introductory presentation based on insights from their respective fields of research on gravity. The main theme is mass and its motion within general relativity and other theories of gravity, particularly for compact bodies. Within this framework, all articles are tied together coherently, covering post-Newtonian and related methods as well as the self-force approach to the analysis of motion in curved space-time, closing with an overview of the historical development and a snapshot on the actual state of the art. All contributions reflect the fundamental role of mass in physics, from issues related to Newton’s laws, to the effect of self-force and radiation reaction within theories of gravitation, to the role of the Higgs boson in modern physics. High-precision measurements are described in detail, modified theories of gravity reproducing experimental data are investigated as alternatives to dark matter, and the fundamental problem of reconciling any theory of gravity with the physics of quantum fields is addressed. Auxiliary chapters set the framework for theoretical contributions within the broader context of experimental physics. The book is based upon the lectures of the CNRS School on Mass held in Orléans, France, in June 2008. All contributions have been anonymously refereed and, with the cooperation of the authors, revised by the editors to ensure overall consistency.
