Mathematical Theory of Black Holes in Higher Dimensions
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...
में बचाया:
| मुख्य लेखकों: | , |
|---|---|
| निगमित लेखक: | |
| स्वरूप: | इलेक्ट्रोनिक ई-पुस्तक |
| भाषा: | अंग्रेज़ी |
| प्रकाशित: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
|
| संस्करण: | 1st ed. 2024. |
| श्रृंखला: | Lecture Notes in Physics,
1031 |
| विषय: | |
| ऑनलाइन पहुंच: | https://doi.org/10.1007/978-3-031-61492-7 |
| टैग: |
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| 100 | 1 | |a Nedkova, Petya. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematical Theory of Black Holes in Higher Dimensions |h [electronic resource] / |c by Petya Nedkova, Stoytcho Yazadjiev. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XI, 241 p. 41 illus.). |b 2 illus. in color. | ||
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| 490 | 1 | |a Lecture Notes in Physics, |x 1616-6361 ; |v 1031 | |
| 505 | 0 | |a Introduction -- Static vacuum black hole solutions -- Stationary vacuum black hole solutions -- Solution generation methods I -- Solution generation methods II -- Classification and uniqueness of black hole solutions in vacuum -- Einstein Maxwell Black Hole Solutions -- Classification and uniqueness of Einstein Maxwell black holes. | |
| 520 | |a 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
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| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Gravitation. | |
| 650 | 0 | |a Astrophysics. | |
| 650 | 1 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Classical and Quantum Gravity. |
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| 700 | 1 | |a Yazadjiev, Stoytcho. |e author. |0 (orcid)0000-0002-1280-9013 |1 https://orcid.org/0000-0002-1280-9013 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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