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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.
This textbook is suitable for a one-semester introduction to General Relativity for advanced undergraduates in physics and engineering. The book is concise so that the entire material can be covered in the one-semester time frame. Many of the calculations are done in detail, without difficult mathematics, to help the students. Though concise, the theory development is lucid and the readers are exposed to possible analytic calculations.In the second edition, the famous twin paradox with acceleration is solved in full from the accelerated observer's frame. The findings of the Event Horizon Telescope (EHT) collaboration, who captured the first ever image of a black hole, are discussed in detail. The geodetic and frame drag precessions of gyroscopes in orbit about a rotating Earth are worked out and the Gravity Probe B (GPB) experiment is discussed. Also in the second edition are some new exercise problems.Resources are provided to instructors who adopt this textbook for their courses. Adopting instructors can print and copy portions of these resources solely for their teaching needs. All instructional resources are furnished for informational use only, and are subject to change without notice.
This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.
Providing students with an in-depth account of the astrophysics of high energy phenomena in the Universe, the third edition of this well-established textbook is ideal for advanced undergraduate and beginning graduate courses in high energy astrophysics. Building on the concepts and techniques taught in standard undergraduate courses, this textbook provides the astronomical and astrophysical background for students to explore more advanced topics. Special emphasis is given to the underlying physical principles of high energy astrophysics, helping students understand the essential physics. The third edition has been completely rewritten, consolidating the previous editions into one volume. It covers the most recent discoveries in areas such as gamma-ray bursts, ultra-high energy cosmic rays and ultra-high energy gamma rays. The topics have been rearranged and streamlined to make them more applicable to a wide range of different astrophysical problems.
Current Affairs Year Book 2022: General Science & Technology. Current Affairs are essential for the preparation of the UPSC CSE & State PSC and all other competitive examinations 2022. The UPSC, State PSC prelims and mains examination demand conceptual clarity of current affairs, Clearing the UPSC CSE & State PSC examination requires a complete, holistic and comprehensive understanding of concepts in the news and current affairs which has been provided by MYUPSC.COM in very crisp and meticulous notes covering all notable and crucial current affairs. Current Affairs Year Book 2022: General Science & Technology 1. ‘Competition in Focus’ Current Affairs Series – Current Affairs 2022 (General Science & Technology) 2. Provides complete coverage of Current Affairs 2022-23. 3. It covers every part of General Knowledge from General Science & Technology Current Affairs 2022. 4. Current Affairs Shooters for Exams Revision. 5. Highly useful for UPSC CSE, State PCS and other State Level Competition Exams. Current Affairs General Science & Technology Year Book 2022 Book Name: Current Affairs Year Book 2022 – General Science & Technology Language / Medium: English Useful for: UPSC, State PSC & Other Exams 2022-23 Total Page: 60+ These initiatives are scattered on different ministries’ websites and Web Pages, so to make this task easier for aspirants, Current Affairs Year Book 2022: General Science & Technology, has compiled the yearly government initiatives in a single place. This compilation covers all the important topics from General Science & Technology. This compilation has covered important General Science & Technology by the ministries and departments of state government as well as central government. The old, new, and revamped schemes, policies, indices, and portals have been given. The Current Affairs Year Book 2022: General Science & Technology contains the entire information in a concise and crisp pointer format. Current Affairs Yearbook 2022 There is a substantial overlap expected in the static and dynamic UPSC questions asked in the IAS examination, as has been seen in the recent trends. MYUPSC.COM also links, relates and explains the static and dynamic portions of the syllabus that is, connecting the current affairs with the basic concepts for their best comprehension for better grasp and command on the knowledge for the aspirants. A good understanding of current affairs is central to success in the UPSC, State PSC examination for aspirants. Since it is a strenuous and grueling task for aspirants to cover current affairs daily and revise it well, MYUPSC.COM prepares crisp and concise notes that covers the important topics relevant from UPSC CSE examination perspective by referring daily newspapers, the Press Information Bureau (PIB), reliable sources like government magazines, for example, the Yojana and the Kurukshetra, etc. It is relevant for all freshers and veterans in the examination, as it is important to cover all aspects of a current affairs topic, which is holistically and entirely covered by MYUPSC on daily, weekly, monthly and yearly basis.
The Marcel Grossmann meetings were conceived to promote theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. They review recent developments in gravitation and general relativity, with major emphasis on mathematical foundations and physical predictions. Their main objective is to bring together scientists from diverse backgrounds and their range of topics is broad, from more abstract classical theory and quantum gravity and strings to more concrete relativistic astrophysics observations and modeling.This Tenth Marcel Grossmann Meeting was organized by an international committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg and backed by an international coordinating committee of about 135 members from scientific institutions representing 54 countries. The scientific program included 29 morning plenary talks during 6 days, and 57 parallel sessions over five afternoons, during which roughly 500 papers were presented.These three volumes of the proceedings of MG10 give a broad view of all aspects of gravitation, from mathematical issues to recent observations and experiments.
This book seeks to present a new way of thinking about the interaction of gravitational fields with quantum systems. Despite the massive amounts of research and experimentation, the myriad meetings, seminars and conferences, all of the articles, treatises and books, and the seemingly endless theorization, quantization and just plain speculation that have been engaged in regarding our evolving understanding of the quantum world, that world remains an enigma, even to the experts. The usefulness of general relativity in this regard has proven to be imperfect at best, but there is a new approach. We do not simply have to accept the limitations of Einstein's most celebrated theorem in regard to quantum theory; we can also embrace them, and thereby utilize them, to reveal new facts about the behavior of quantum systems within inertial and gravitational fields, and therefore about the very structure of space–time at the quantum level. By taking existing knowledge of the essential functionality of spin (along with the careful identification of the omnipresent inertial effects) and applying it to the quantum world, the book gives the reader a much clearer picture of the difference between the classical and quantum behaviors of a particle, shows that Einstein's ideas may not be as incompatible within this realm as many have come to believe, sparks new revelations of the way in which gravity affects quantum systems and brings a new level of efficiency—quantum efficiency, if you will—to the study of gravitational theory.
Astronomy and Astrophysics Abstracts, which has appeared in semi-annual volumes since 1969, is de voted to the recording, summarizing and indexing of astronomical publications throughout the world. It is prepared under the auspices of the International Astronomical Union (according to a resolution adopted at the 14th General Assembly in 1970). Astronomy and Astrophysics Abstracts aims to present a comprehensive documentation of Iiterature in all fields of astronomy and astrophysics. Every effort will be made to ensure that the average time interval between the date of receipt of the original Iiterature and publication of the abstracts will not exceed eight months. This time interval is near to that achieved by monthly abstracting journals, com pared to which our system of accumulating abstracts for about six months offers the advantage of greater convenience for the user. Valurne 7 contains Iiterature published in 1972 and received before August 15, 1972; some older Iiter ature which was received late and which is not recorded in earlier volumes is also included.