Interacting Gravitational, Electromagnetic, Neutrino And Other Waves: In The Context Of Einstein's General Theory Of Relativity
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€102.99
A01=Anzhong Wang
Author_Anzhong Wang
Category=PHR
Colliding Plane Waves
Distribution Theory
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Formation of Spacetime Singularities
Generalized Functions
Gravitational Faraday Rotation
Gravitational Waves
Newman-Penrose Formalism
Nonlinear Interaction
Parallelly Transported Frame
Polarizations
Product details
- ISBN 9789811211485
- Publication Date: 27 Mar 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
