scholarly journals Stable circular orbits in Kaluza-Klein black hole spacetimes

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Shinya Tomizawa ◽  
Takahisa Igata
Keyword(s):  
Black Hole ◽  
Circular Orbits ◽  
Black Hole Spacetimes ◽  
Kaluza Klein

scholarly journals Stable circular orbits in caged black hole spacetimes

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Takahisa Igata ◽  
Shinya Tomizawa
Keyword(s):  
Black Hole ◽  
Circular Orbits ◽  
Black Hole Spacetimes

Geometry of Black Holes

2020 ◽  
Author(s):  
Piotr T. Chruściel
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Einstein Equations ◽  
De Sitter ◽  
Black Hole Spacetimes ◽  
Local Coordinates ◽  
The Subject ◽  
Basic Facts ◽  
Kaluza Klein

There exists a large scientific literature on black holes, including many excellent textbooks of various levels of difficulty. However, most of these prefer physical intuition to mathematical rigour. The object of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject. The first part of the book starts with a presentation, in Chapter 1, of some basic facts about Lorentzian manifolds. Chapter 2 develops those elements of Lorentzian causality theory which are key to the understanding of black-hole spacetimes. We present some applications of the causality theory in Chapter 3, as relevant for the study of black holes. Chapter 4, which opens the second part of the book, constitutes an introduction to the theory of black holes, including a review of experimental evidence, a presentation of the basic notions, and a study of the flagship black holes: the Schwarzschild, Reissner–Nordström, Kerr, and Majumdar–Papapetrou solutions of the Einstein, or Einstein–Maxwell, equations. Chapter 5 presents some further important solutions: the Kerr–Newman–(anti-)de Sitter black holes, the Emperan–Reall black rings, the Kaluza–Klein solutions of Rasheed, and the Birmingham family of metrics. Chapters 6 and 7 present the construction of conformal and projective diagrams, which play a key role in understanding the global structure of spacetimes obtained by piecing together metrics which, initially, are expressed in local coordinates. Chapter 8 presents an overview of known dynamical black-hole solutions of the vacuum Einstein equations.

The Intrinsic Derivative and Centrifugal Forces in General Relativity: II. Applications to Circular Orbits in Some Familiar Stationary Axisymmetric Spacetimes

1997 ◽  
Vol 06 (02) ◽  
pp. 143-198 ◽  
Author(s):  
Donato Bini ◽  
Paolo Carini ◽  
Robert T. Jantzen
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Spin Precession ◽  
General Context ◽  
Centrifugal Forces ◽  
Circular Orbits ◽  
Spacetime Geometry ◽  
Preceding Article ◽  
Black Hole Spacetimes ◽  
Time Splitting

The tools developed in a preceding article for interpreting spacetime geometry in terms of all possible space-plus-time splitting approaches are applied to circular orbits in some familiar stationary axisymmetric spacetimes. This helps give a more intuitive picture of their rotational features including spin precession effects, and puts related work of Abramowicz, de Felice, and others on circular orbits in black hole spacetimes into a more general context.

scholarly journals The swampland at large number of space-time dimensions

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Quentin Bonnefoy ◽  
Luca Ciambelli ◽  
Dieter Lüst ◽  
Severin Lüst
Keyword(s):  
Black Hole ◽  
Upper Bound ◽  
Space Time ◽  
Large Dimension ◽  
De Sitter ◽  
Black Hole Spacetimes ◽  
Characteristic Radius ◽  
Kaluza Klein ◽  
Dimension Conjecture

Abstract We discuss some aspects of swampland constraints — especially the swamp-land distance conjecture — in a large number of space-time dimensions D. We analyze Kaluza-Klein (KK) states at large D and find that some KK spectra possess an interesting dependence on D. On the basis of these observations we propose a new large dimension conjecture. We apply it to KK states of compactifications to anti-de Sitter backgrounds where it predicts an upper bound on the dimension of space-time as a function of its characteristic radius. We also apply our conjecture to black hole spacetimes, whose entropies have a D-dependence very similar to that of the KK spectrum.

scholarly journals Kaluza-Klein State in Bekenstein-Hawking Entropy Cycles

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Thiago Prudêncio
Keyword(s):  
Black Hole ◽  
Extremal Black Hole ◽  
State Configuration ◽  
Kaluza Klein

A Kaluza-Klein state configuration in black-hole qubit correspondence (BHQC) is considered in cyclic cycles of its Bekenstein-Hawking entropy. After a sequence of Peccei-Quinn transformations on the Kaluza-Klein state in cyclic cycles alternating between large and small extremal black hole (EBH) configurations, we obtain the corresponding amount of variation in the initial Bekenstein-Hawking entropy in cyclic cycles. We consider different cases where the EBH state alternates between small and large states. We then demonstrate that the total Bekenstein-Hawking entropy increases in these processes.

scholarly journals Master equations and quasinormal modes of spin- 3/2 fields in Schwarzschild (A)dS black hole spacetimes

2019 ◽  
Vol 100 (10) ◽  
Author(s):  
Chun-Hung Chen ◽  
Hing-Tong Cho ◽  
Alan S. Cornell ◽  
Gerhard E. Harmsen
Keyword(s):  
Black Hole ◽  
Quasinormal Modes ◽  
Master Equations ◽  
Black Hole Spacetimes
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