Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.In addition, when applied to our solar system, the radius of the vacuum Schwarzschild region would need to be around 103 light-years a a region that in fact contains many other stars. Although the conformal structure of each component of this space-time is known (see Sections 6.4 and 8.4), a construction of a combined Penrose diagram faces the problem that they are ... of this model within a FLRW background has been discussed by Mars (2001) and Nolan and Vera (2005).
|Title||:||Exact Space-Times in Einstein's General Relativity|
|Author||:||Jerry B. Griffiths, Jiří Podolský|
|Publisher||:||Cambridge University Press - 2009-10-15|