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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Mathematical Theory of Black Holes in Higher Dimensions
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Mathematical Theory of Black Holes in Higher Dimensions
Petya Nedkova, Stoytcho Yazadjiev (Broschiert, Englisch)
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Beschreibung
This book portraits the mathematical theory which lies behind black hole solutions in spacetimes with an extra dimension. Step by step the authors build a comprehensive picture of the main concepts and tools necessary to understand these geometries. In this way the book addresses questions like: How do we describe black holes in higher dimensions? How can we construct such geometries explicitly as… exact solutions to the field equations? How many independent solutions can exist and how are they classified? The book concentrates on five-dimensional stationary and axisymmetric spacetimes in electro-vacuum and systematically introduces the most important black geometries which can arise in these settings. The authors follow the natural progress of the research area by initially describing the first results that were obtained intuitively and sparkled interest in the community. Then the elaborate mathematical techniques are introduced which allow to systematically construct exact black hole solutions. Topics like the integrability of the theory, the hidden symmetries of the field equations, the available Bäcklund transformations and solution generation techniques based on the inverse scattering method are covered. The last part of the book is devoted to uniqueness theorems showing how to classify the black hole spacetimes and distinguish the non-equivalent ones. The book is not just a mere collection of facts but a methodological description of the most important mathematical techniques and constructions in an active research area. The discussion is pedagogical and all the methods are demonstrated on a variety of examples. Most of the book is adapted to the level of a graduate student possessing a basic knowledge of general relativity and differential equations, and can serve as a practical guide for quickly acquiring the specific concepts and calculation techniques. Both authors have contributed to the research area by their original results, and share their own experience and perspective. 80,24 €
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Technische Daten
Erscheinungsdatum
17.08.2024
Sprache
Englisch
EAN
9783031614910
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Lecture Notes in Physics
Sonderedition
Nein
Autor
Petya Nedkova, Stoytcho Yazadjiev
Seitenanzahl
241
Auflage
1
Einbandart
Broschiert
Schlagwörter
Black holes in higher dimensions, Black ring Black Hole, Weyl solutions, Exact solutions to the gravitational field equations, Black Hole Rod structure, Black hole solution generation techniques in higher dimensions, Inverse scattering method, Classification of black holes solutions in higher dimensions, Bäcklund transformations in general relativity, Black hole uniqueness theorems
Thema-Inhalt
PHU - Mathematische Physik
PHDV - Gravitation
PHVB - Astrophysik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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