Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes

Ashtekar, Abhay; Pawłowski, Tomasz; Broeck, C. Van Den

doi:10.1088/0264-9381/24/3/007

Cited by 28 publications

(52 citation statements)

References 24 publications

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“…The formalism of isolated horizons and the laws of black-hole mechanics for them, have been extended to higher dimensions in [182, 170], and then to five-dimensional Einstein-Maxwell theory with the Chern-Simons term [183] and anti-de Sitter asymptotics [5]. …”

Section: General Results and Open Problemsmentioning

confidence: 99%

Black Holes in Higher Dimensions

Emparan

Reall

2008

Living Rev. Relativ.

703

1,059

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We review black-hole solutions of higher-dimensional vacuum gravity and higher-dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and solution-generating techniques. We discuss black-hole solutions of maximal supergravity theories, including black holes in anti-de Sitter space. General results and open problems are discussed throughout.

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Section: General Results and Open Problemsmentioning

confidence: 99%

Black Holes in Higher Dimensions

Emparan

Reall

2008

Living Rev. Relativ.

703

1,059

View full text Add to dashboard Cite

show abstract

“…The result is that it becomes well defined only after the addition of the Pontryagin term, with an appropriate coupling constant. It is important to remark that the details of the asymptotic behaviour in [16] are different from those in the other mentioned papers, so one must proceed with care when comparing all the results here mentioned.…”

Section: The Complete Actionmentioning

confidence: 97%

“…Here she shall briefly mention some of them without attempting to be exhaustive. In [16] it is shown that one can make the action well defined by adding the same boundary term as in the asymptotically flat case, with an appropriately modified coupling constant. Second, there have been proposals to link topological terms to the AdS/CFT correspondence.…”

Section: The Complete Actionmentioning

confidence: 99%

See 1 more Smart Citation

Actions, topological terms and boundaries in first-order gravity: A review

Corichi

Rubalcava-Garcia

Vukašinac

2016

Int. J. Mod. Phys. D

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In this review we consider first order gravity in four dimensions. In particular, we focus our attention in formulations where the fundamental variables are a tetrad e I a and a SO(3,1) connection ω aI J . We study the most general action principle compatible with diffeomorphism invariance. This implies, in particular, considering besides the standard Einstein-Hilbert-Palatini term, other terms that either do not change the equations of motion, or are topological in nature. Having a well defined action principle sometimes involves the need for additional boundary terms, whose detailed form may depend on the particular boundary conditions at hand. In this work, we consider spacetimes that include a boundary at infinity, satisfying asymptotically flat boundary conditions and/or an internal boundary satisfying isolated horizons boundary conditions. We focus on the covariant Hamiltonian formalism where the phase space Γ is given by solutions to the equations of motion. For each of the possible terms contributing to the action we consider the well posedness of the action, its finiteness, the contribution to the symplectic structure, and the Hamiltonian and Noether charges. For the chosen boundary conditions, standard boundary terms warrant a well posed theory. Furthermore, the boundary and topological terms do not contribute to the symplectic structure, nor the Hamiltonian conserved charges.The Noether conserved charges, on the other hand, do depend on such additional terms. The aim of this manuscript is to present a comprehensive and self-contained treatment of the subject, so the style is somewhat pedagogical. Furthermore, along the way we point out and clarify some issues that have not been clearly understood in the literature.

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“…The formalism of isolated horizons and the laws of black-hole mechanics for them, have been Living Reviews in Relativity http://www.livingreviews.org/lrr-2008-6 extended to higher dimensions in [182,170], and then to five-dimensional Einstein-Maxwell theory with the Chern-Simons term [183] and anti-de Sitter asymptotics [5].…”

Section: Apparent and Isolated Horizons And Critical Phenomenamentioning

confidence: 99%

Black Holes in Higher Dimensions

Horowitz¹

2012

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We review black-hole solutions of higher-dimensional vacuum gravity and higher-dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and solution-generating techniques. We discuss blackhole solutions of maximal supergravity theories, including black holes in anti-de Sitter space.General results and open problems are discussed throughout.

show abstract

Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes

Cited by 28 publications

References 24 publications

Black Holes in Higher Dimensions

Black Holes in Higher Dimensions

Actions, topological terms and boundaries in first-order gravity: A review

Black Holes in Higher Dimensions

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