General relativity theory
type: Item
instance of: scholarly article
zbMATH Open document ID: 0986.83001
author: Torsten Fließbach
publication date: 2002-01-15T00:00:00Z
Mathematics Subject Classification ID: 83-01
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 83C55
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83B05
Mathematics Subject Classification ID: 85-01
zbMATH DE Number: 1691530
zbMATH Keywords: general relativity theory
zbMATH Keywords: gravitation
zbMATH Keywords: cosmology
zbMATH Keywords: Newtonian gravity
zbMATH Keywords: electrodynamics
zbMATH Keywords: relativistic hydrodynamics
zbMATH Keywords: neutron stars
zbMATH Keywords: white dwarfs
zbMATH Keywords: black hole
zbMATH Keywords: Birkhoff-theorem
zbMATH Keywords: vacuum
zbMATH Keywords: isometry
MaRDI profile type: Publication
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title: General relativity theory
review text: This is the third and revised edition of the textbook on general relativity theory (GRT) (for a review of the 1st ed. (B. I. Mannheim, 1990) see Zbl 0716.53060). It follows essentially the standard approach to the fields of gravitation and cosmology: First, one starts with Newtonian gravity and gives the reasons why to generalize it to GRT. The second chapter deals with special relativity theory including electrodynamics and a short note on relativistic hydrodynamics. The next three chapters cover the fundamentals of GRT. Chapter 6 deals with static gravitational fields, and Chapter 7 with gravitational waves. NEWLINENEWLINENEWLINEDistict from the majority of textbooks on GRT, the present book carefully discusses the static (like neutron stars and white dwarfs -- Chapter 8) and dynamic (collapsing stars including black hole formation processes -- Chapter 9) star models. The final Chapter 10 covers standard themes on cosmology. NEWLINENEWLINENEWLINEThe only error I found is the following: On page 253, the formulation of the Birkhoff-theorem (``A spherically symmetric gravitational field in vacuum is static'') is incorrect. One gets the correct formulation if one replaces the words ``is static'' by ``possesses one additional isometry''. In fact, this additional isometry need not be a time-like one.
reviewed by: Hans-Jürgen Schmidt
description: scientific article; zbMATH DE number 1691530