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Topological Black Holes in Anti-de Sitter Space

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arxiv hep-th/9808032 v3 pith:ECKBRRZ4 submitted 1998-08-06 hep-th

classification hep-th
keywords solutionsblackeinsteinentropymassnegativeanti-debekenstein-hawking
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or negative curvature. The mass, temperature, and entropy are calculated. Using the correspondence with conformal field theory, the phase structure of the solutions is examined, and used to determine the correct mass dependence of the Bekenstein-Hawking entropy.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Light-like retarded correlators and the horizon

    hep-th 2026-07 accept novelty 7.0 of 10

    At large light-like momenta, holographic retarded correlators scale as a horizon-curvature-dependent power of ω, weaker than the naive ω^{2Δ−d}.

  2. Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Numerical evidence that every squashed three-sphere conformal infinity admits a unique horizonless static vacuum fill-in and a one-parameter family of black-hole fill-ins in 5D AdS.

  3. The black hole S-matrix in gauge/gravity duality

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    A unitary black hole S-matrix is built in AdS/CFT via collapsing brane shells; the black hole decays by exponentially rare brane emission, and the emitted branes are argued to be the original constituents, resolving t...

  4. Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    SO(d) and O(d) invariant sectors of d-matrix QM show negative microcanonical heat capacity that becomes positive at k_crit ~ N^2/4, forming a caloric fold similar to AdS black holes.

  5. Rotating black holes with primary hair in five-dimensional generalized Proca theory

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    New class of exact rotating black holes with primary hair in 5D generalized Proca theory, generalizing Myers-Perry via Kerr-Schild form with light-like Proca field.

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