Global Geometry of Space-Times With Shells (Physics Research and Technology) - Hardcover

Berezin, Victor Aleksandrovich; Dokuchaev, Vyacheslav

Hardcover

ISBN 10: 1633217701 ISBN 13: 9781633217706

Publisher: Nova Science Pub Inc, 2014

Synopsis

In this book, the complete classification of the possible types of spherically symmetric global geometries for two types of electrically charged shells are explored. These include the charged shell as a single source of the gravitational field, when internal space-time is flat, and external space-time is the Reissner-Nordstrom metric; and the neutralising shell with an electric charge opposite to the charge of the internal source with the Reissner-Nordstrom metric and with the Schwarzschild metric outside the shell. Starting from Israel equations for the spherically symmetric thin shells, this book introduce the effective potential and shows how it can be used in constructing, without further thorough investigation, the corresponding Carter-Penrose diagrams describing clearly the global geometry of the composite space-time manifolds. This book demonstrates how this new method works by considering all possible configurations for the neutral thin dust shell immersed into different types of Reissner-Nordstrom electro-vacuum manifolds.

About this title

Review

"In this book, the authors provide a general global description, using Israel matching conditions, of spherically symmetric spacetimes with thin shell sources, charged or neutral, in spacetimes that are themselves asymptotically Schwarzschild or Reissner-Nordstrom, and have various charged/neutral interiors. This book will provide an authoritative, useful, basis for further explorations of the Einstein-Maxwell system, and its extensions both to wider models and more complex sources." - Reviewed by Stanley Deser, PhD., Professor Emeritus of Physics, Brandeis University, USA

"Thin shells and surface layers are increasingly used to model gravitational collapse and phase transitions in general relativity and cosmology. However, a textbook treatment of these topics is still hard to find in the current literature. This book nicely fills the gap. The techniques are illustrated by focusing on the dynamics of charged spherical shells in a variety of backgrounds. Recommended for students and practitioners who want to add this useful tool to their armory." - Reviewed by Werner Israel, Adjunct Professor, University of Victoria, Canada

Edition details

• Publisher: Nova Science Pub Inc
• Publication date: 2014
• Language: English
• ISBN 10: 1633217701
• ISBN 13: 9781633217706
• Binding: Hardcover
• Number of pages: 162