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New Euclidon Method of Generating Stationary Vacuum Einstein Fields
Hardcover
ISBN13: 9789819813919
Publisher: World Scientific Publishing Company
Published: Aug 11 2025
Pages: 184
Weight: 0.92
Height: 0.50 Width: 6.00 Depth: 9.00
Language: English
The purpose of this book is to systematically derive, as much as possible, the main exact asymptotically flat solutions of the static and stationary axially symmetric vacuum Einstein-Maxwell equations. The primary building block used is the Euclidon solution, which has a clear physical interpretation as a relativistic accelerated non-inertial reference frame in the flat space-time.
In the first part, static Einstein fields are considered. The one-static Euclidon solution and its generalizations are obtained by various methods.
The second part deals with the main classes of stationary vacuum Einstein field solutions. The one-stationary soliton solution, the one-stationary Euclidon solution, and its physical interpretation are obtained.
In the third part, using the method of variation of parameters, solutions are obtained including a two-Euclidon stationary solution, which coincides with the Kerr-NUT solution.
The fourth part deals with the main classes of static Einstein-Maxwell fields. The methods of superposition of the one-stationary Euclidon solution, the one-stationary soliton solution, and the two-Euclidon stationary solution with arbitrary external static electrovacuum fields are also applied to this case.
The fifth part deals with stationary Einstein-Maxwell fields. The generalized solutions are constructed using symmetry transformations from the previously found solutions.
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