[Download] "Interacting Gravitational, Electromagnetic, Neutrino and Other Waves" by Anzhong Wang ~ Book PDF Kindle ePub Free

July 28, 2021

eBook details

Title: Interacting Gravitational, Electromagnetic, Neutrino and Other Waves
Author : Anzhong Wang
Release Date : January 19, 2020
Genre: Physics,Books,Science & Nature,
Pages : * pages
Size : 10154 KB

Description

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.
Contents: PrefaceList of FiguresFundamentals of Einstein's Theory of General RelativityPlane Gravitational WavesColliding Plane Gravitational WavesCollision of Pure Gravitational Plane WavesCollisions of Gravitational Waves with Matter FieldsIsometries to Interiors of Black HolesConcluding RemarksBibliographyIndex
Readership: Graduate students, postdocs, and researchers in investigations of gravitational waves and their nonlinear interactions among themselves and with matter fields.Gravitational Waves;Polarizations;Parallelly Transported Frame;Nonlinear Interaction;Gravitational Faraday Rotation;Colliding Plane Waves;Formation of Spacetime Singularities;Newman-Penrose Formalism;Generalized Functions;Distribution Theory0Key Features:The book provides a basic foundation for the studies of physical phenomena due to the nonlinear interactions of gravitational waves with themselves and/or with matter fields, which could be detected by current or forthcoming generation of gravitational wave detectors