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020 _a9783031614927
_9978-3-031-61492-7
024 7 _a10.1007/978-3-031-61492-7
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
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072 7 _aPHU
_2thema
100 1 _aNedkova, Petya.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982413
245 1 0 _aMathematical Theory of Black Holes in Higher Dimensions
_h[electronic resource] /
_cby Petya Nedkova, Stoytcho Yazadjiev.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXI, 241 p. 41 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x1616-6361 ;
_v1031
505 0 _aIntroduction -- 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 _aThis 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.
650 0 _aMathematical physics.
650 0 _aGravitation.
650 0 _aAstrophysics.
_968037
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_965563
650 2 4 _aClassical and Quantum Gravity.
_969409
650 2 4 _aAstrophysics.
_968037
700 1 _aYazadjiev, Stoytcho.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982414
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031614910
776 0 8 _iPrinted edition:
_z9783031614934
830 0 _aLecture Notes in Physics,
_x1616-6361 ;
_v1031
_972070
856 4 0 _uhttps://doi.org/10.1007/978-3-031-61492-7
912 _aZDB-2-PHA
912 _aZDB-2-SXP
912 _aZDB-2-LNP
999 _c62498
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