東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Mathematical theory of black holes in higher dimensions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical theory of black holes in higher dimensions/ by Petya Nedkova, Stoytcho Yazadjiev.
Author:	Nedkova, Petya.
other author:	Yazadjiev, Stoytcho.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xi, 241 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Black holes (Astronomy) - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-61492-7
ISBN:	9783031614927

Mathematical theory of black holes in higher dimensions
Nedkova, Petya.

Mathematical theory of black holes in higher dimensions[electronic resource] /by Petya Nedkova, Stoytcho Yazadjiev. - Cham :Springer Nature Switzerland :2024. - xi, 241 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v. 10311616-6361 ;. - Lecture notes in physics ;v. 1031..

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.

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.

ISBN: 9783031614927

Standard No.: 10.1007/978-3-031-61492-7doiSubjects--Topical Terms:

578751
Black holes (Astronomy)
--Mathematics.

LC Class. No.: QB843.B55

Dewey Class. No.: 523.8875

Mathematical theory of black holes in higher dimensions
LDR:03457nmm a22003495a 4500 001 2388580
003 DE-He213
005 20240816124749.0
006 m d
007 cr nn 008maaau
008 250916s2024 sz s 0 eng d
020 $a 9783031614927 $q (electronic bk.)
020 $a 9783031614910 $q (paper)
024 7 $a 10.1007/978-3-031-61492-7 $2 doi
035 $a 978-3-031-61492-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QB843.B55
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 523.8875 $2 23
090 $a QB843.B55 $b N371 2024
100 1 $a Nedkova, Petya. $3 3753735
245 1 0 $a Mathematical theory of black holes in higher dimensions $h [electronic resource] / $c by Petya Nedkova, Stoytcho Yazadjiev.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xi, 241 p. : $b ill. (some col.), digital ; $c 24 cm.
347 $a text file $b PDF $2 rda
490 1 $a Lecture notes in physics, $x 1616-6361 ; $v 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.
650 0 $a Black holes (Astronomy) $x Mathematics. $3 578751
650 1 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Classical and Quantum Gravity. $3 3538892
650 2 4 $a Astrophysics. $3 535904
700 1 $a Yazadjiev, Stoytcho. $3 3753736
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in physics ; $v v. 1031. $3 3753737
856 4 0 $u https://doi.org/10.1007/978-3-031-61492-7
950 $a Physics and Astronomy (SpringerNature-11651)