Shock Wave Interactions In General Relativity
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Shock Wave Interactions In General Relativity
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Author : Jeffrey Groah
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03
Shock Wave Interactions In General Relativity written by Jeffrey Groah 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 2007-04-03 with Mathematics categories.
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The author is a well regarded expert in this area.
Shock Wave Interactions In General Relativity
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Author : Jeffrey Groah
language : en
Publisher: Springer
Release Date : 2006-11-30
Shock Wave Interactions In General Relativity written by Jeffrey Groah and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Mathematics categories.
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The author is a well regarded expert in this area.
Physics Of Collisionless Shocks
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Author : André Balogh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-04
Physics Of Collisionless Shocks written by André Balogh 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 2013-01-04 with Science categories.
The present book provides a contemporary systematic treatment of shock waves in high-temperature collisionless plasmas as are encountered in near Earth space and in Astrophysics. It consists of two parts. Part I develops the complete theory of shocks in dilute hot plasmas under the assumption of absence of collisions among the charged particles when the interaction is mediated solely by the self-consistent electromagnetic fields. Such shocks are naturally magnetised implying that the magnetic field plays an important role in their evolution and dynamics. This part treats subcritical shocks which dissipate flow energy by generating anomalous resistance or viscosity. The main emphasis is, however, on super-critical shocks where the anomalous dissipation is insufficient to retard the upstream flow. These shocks, depending on the direction of the upstream magnetic field, are distinguished as quasi-perpendicular and quasi-parallel shocks which exhibit different behaviours, reflecting particles back upstream and generating high electromagnetic wave intensities. Particle acceleration and turbulence at such shocks become possible and important. Part II treats planetary bow shocks and the famous Heliospheric Termination shock as examples of two applications of the theory developed in part I.
Interacting Gravitational Electromagnetic Neutrino And Other Waves In The Context Of Einstein S General Theory Of Relativity
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Author : Anzhong Wang
language : en
Publisher: World Scientific
Release Date : 2020-03-19
Interacting Gravitational Electromagnetic Neutrino And Other Waves In The Context Of Einstein S General Theory Of Relativity written by Anzhong Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Science categories.
This book is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.
Advances In The Theory Of Shock Waves
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Author : Heinrich Freistühler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advances In The Theory Of Shock Waves written by Heinrich Freistühler 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 2012-12-06 with Mathematics categories.
In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. Joel Smoller and Blake Temple have established classes of shock wave solutions to the Einstein Euler equations of general relativity; indeed, the mathematical and physical con sequences of these examples constitute a whole new area of research. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems. Due to the intersection of point and essential spectrum, such an ap proach had for a long time seemed out of reach. The stability problem for "in viscid" shock waves has been given a novel, clear and concise treatment by Guy Metivier and coworkers through the use of paradifferential calculus. The L 1 semi group theory for systems of conservation laws, itself still a recent development, has been considerably condensed by the introduction of new distance functionals through Tai-Ping Liu and collaborators; these functionals compare solutions to different data by direct reference to their wave structure. The fundamental prop erties of systems with relaxation have found a systematic description through the papers of Wen-An Yong; for shock waves, this means a first general theorem on the existence of corresponding profiles. The five articles of this book reflect the above developments.
Colliding Plane Waves In General Relativity
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Author : J.B. Griffiths
language : en
Publisher: Courier Dover Publications
Release Date : 2016-04-06
Colliding Plane Waves In General Relativity written by J.B. Griffiths and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-06 with Science categories.
This monograph surveys recent research on the collision and interaction of gravitational and electromagnetic waves. "This is a particularly important topic in general relativity," the author notes, "since the theory predicts that there will be a nonlinear interaction between such waves." Geared toward graduate students and researchers in general relativity, the text offers a comprehensive and unified review of the vast literature on the subject. The first eight chapters offer background, presenting the field equations and discussing some qualitative aspects of their solution. Subsequent chapters explore further exact solutions for colliding plane gravitational waves and the collision and interaction of electromagnetic waves. The final chapters summarize all related results for the collision of plane waves of different types and in non-flat backgrounds. A new postscript updates developments since the book's initial 1991 publication.
Propagation And Reflection Of Shock Waves
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Author : L S Shtemenko
language : en
Publisher: World Scientific
Release Date : 1998-05-05
Propagation And Reflection Of Shock Waves written by L S Shtemenko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-05 with Science categories.
This volume deals with the propagation of three-dimensional shock waves and their reflection from curved walls. It is divided into two parts. The first part presents a ray method. This is based on the expansion of fluid properties in power series at an arbitrary point on the shock front. Continuous fractions are used. Results for shock propagation in non-uniform fluids are given.The second part discusses the shock reflection from a concave body. The important shock-focusing problem is included. The work is supported by both numerical and experimental results. Many interesting features, such as formation of a jet, vortices and the appearance of disturbances on the shock front, are discussed.Besides shock waves in gases, the distinctive features of shock propagation through a weakly ionized plasma are considered.
Topics In Theoretical And Experimental Gravitation Physics
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Author : V. De Sabbata
language : en
Publisher: Springer
Release Date : 2012-12-12
Topics In Theoretical And Experimental Gravitation Physics written by V. De Sabbata and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-12 with Science categories.
During the period March 13-25, 1975, the IV course of the International School of Cosmology and Gravitation was held at Erice, Sicily and devoted primarily to gravitational waves. A number of participants have prepared their lectures for publication here. These include topics in Gravitational Radiation , Gravitational Radiation Antennas and Data Analyses, Singularities in General Relativity Theory, the Bimetric Theory of Gravitation, Tachyons, and General Relativity and Quantum Theory. V. De Sabbata and J. Weber v Contents Opening ReII1arks, J. Weber. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix The Generation of Gravitational Waves: A Review of Computational Techniques, K. S. Thorne ********************* 1 Effects of Gravitational Radiation upon Electromagnetic Waves in a Dispersive Medium, B. Bertotti and R. Catenacci ****** 63 Gravitational Waves and Their Interaction with Electromagnetic Field, V. De Sabbata ***. ****************** 69 Shock Waves in General Relativity, A. Papapetrou *************** 83 Editorial Connnents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 The Detection of Gravitational Waves and Quantum Nondisturbtive Measurements, V. Braginsky ***************** 105 Onedimensional Analysis and Computer Simulation of a Weber Antenna, G. V. Pallottino ************************** 123 Comments on the Gravitational Radiation Experiments, J. Weber ** 135 Estimated Sensitivity of the Low Temperature Gravitational Wave Antenna in Rome, G. Pizzella ************************* 139 The L. S. U. Low Temperature Gravity Wave Experiment, W. O. Hamilton, T. P. Bernat, D. G. Blair, W. C. Oelfke ******* 149 Optimal Detection of Signals through Linear Devices with Thermal Noise Sources and Application to the Munich Frascati Weber-Type Gravitational Wave Detectors, P. Kafka . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 Synchrotron Radiation and Astrophysics, A. A.
A Relativistic Treatment Of Strong Shock Waves In A Classical Gas
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Author : Arnold W. Guess
language : en
Publisher:
Release Date : 1959
A Relativistic Treatment Of Strong Shock Waves In A Classical Gas written by Arnold W. Guess and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Gas dynamics categories.
General Relativity And Gravitation
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Author : B. Bertotti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
General Relativity And Gravitation written by B. Bertotti 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 2012-12-06 with Science categories.
The Tenth International Conference on General Relativity and Gravitation (GR10) was held from July 3 to July 8, 1983, in Padova, Italy. These Conferences take place every three years, under the auspices of the International Society on General Relativity and Gravitation, with the purpose of assessing the current research in the field, critically discussing the prog ress made and disclosing the points of paramount im portance which deserve further investigations. The Conference was attended by about 750 scientists active in the various subfields in which the current research on gravitation and general relativity is ar ticulated, and more than 450 communications were sub mitted. In order to fully exploit this great occur rence of experience and creative capacity, and to pro mote individual contributions to the collective know ledge, the Conference was given a structure of work shops on the most active topics and of general sessions in which the Conference was addressed by invited speakers on general reviews or recent major advance ments of the field. The individual communications were collected in a two-volume publication made available to the participants upon their arrival and widely distributed to Scientific Institutions and Research Centres.