Exact Solutions of Einstein’s Field Equations

KRAMER, D; H. Stephani.

$4,000.00

Item Number: 119458

Cambridge: Cambridge University Press, 1980.

First edition of this work on Einstein. Octavo, original cloth. From the library of Stephen Hawking with his name written on the front free endpaper. Stephen Hawking was a theoretical physicist, cosmologist, and author who was director of research at the Centre for Theoretical Cosmology at the University of Cambridge at the time of his death. Hawking’s scientific works included a collaboration with Roger Penrose on gravitational singularity theorems in the framework of general relativity and the theoretical prediction that black holes emit radiation, often called Hawking radiation. He was the first to set out a theory of cosmology explained by a union of the general theory of relativity and quantum mechanics. Hawking may be one of the most recognizable of theoretical physicists in part due to ALS, which gradually paralyzed him over the decades. After the loss of his speech, he was able to communicate through a speech-generating device—initially through use of a handheld switch, and eventually by using a single cheek muscle.  He is also well known since he achieved commercial success with several works of popular science in which he discussed his theories and cosmology in general. His book, A Brief History of Time, appeared on the Sunday Times bestseller list for a record-breaking 237 weeks. Near fine in a very good dust jacket. A nice collectible from this giant in the world of theoretical physics.

Solutions of the Einstein field equations are spacetimes that result from solving the Einstein field equations (EFE) of general relativity. Solving the field equations gives a Lorentz manifold. Solutions are broadly classed as exact or non-exact. The Einstein field equations relate the Einstein tensor to the stress–energy tensor, which represents the distribution of energy, momentum and stress in the spacetime manifold. The Einstein tensor is built up from the metric tensor and its partial derivatives; thus, given the stress–energy tensor, the Einstein field equations are a system of ten partial differential equations in which the metric tensor can be solved for.