Black-Hole Geometry and Topology  

Geometry in General > s.a. black-hole solutions; event horizons; horizons [isolated, dynamical, trapping]; quantum black holes.
* Hawking's theorem: If = 0, the constant time sections of the horizon of stationary black holes are topologically spheres.
@ Black-hole interior: Krori et al PLA(88) [higher-dimensional, Schwarzschild-like]; Frolov et al PRD(90); Poisson & Israel PRD(90); Balbinot et al PLA(91); Bonanno et al PRD(94)gq; Burnett PRD(95)gq [journey inside a black hole]; Donets et al PRD(97) [Einstein-Yang-Mills]; Artemova & Novikov ap/02 [intro]; Novikov gq/03; Dafermos gq/03 [charged]; Hamilton & Pollack PRD(05)gq/04, PRD(05)gq/04 [self-similar, accreting, charged]; Culetu IJMPA(09)ht/07; Lewis & Kwan PASA(07)-a0705 [maximizing survival time]; DiNunno & Matzner a0801 [interior volume]; Hamilton & Polhemus a0903 [view from the inside].
@ Near-horizon geometry: Balasubramanian & Larsen NPB(98) [4D]; Cvetic & Larsen NPB(98) [5D]; Medved et al CQG(04)gq [static 4D]; Kang et al PRD(04)ht [any dimension]; > s.a. black-hole entropy.
@ Related topics: Anderson & Mull gq/97, gq/97-in [constraints on static geometry]; Abramowicz & Sonego 02 [optical geometry]; Parikh PRD(06)ht/05 [3-volume]; Álvarez NPPS(09)-a0904 [without coordinates].
> Singularities: see cosmic censorship; models for topology change [censorship, genus].

In Higher Dimensions and with Other Topologies
* Black strings: Gregory & Laflamme argued that an instability along the extra dimension causes the Schwarzschild black string to break up into disjoint black holes; Horowitz and Maeda derived bounds on the rate at which the smallest sphere can pinch off.
@ Black rings: Emparan & Reall CQG(06) [rev]; Elvang et al JHEP(06)ht [dynamics, instability]; Iizuka & Shigemori PRD(08) [in 4D]; Chrusciel & Cortier a0807 [geometry]; > s.a. laws of black-hole dynamics.
@ Black strings: Gregory & Laflamme PRL(93)ht, NPB(94)ht, Horowitz & Maeda PRL(01)ht, Choptuik et al PRD(03)gq, Kol & Sorkin CQG(04)gq [instability]; Kol & Wiseman CQG(03)ht; Kol et al PRD(04)ht/03 [and black holes]; Cardoso & Dias PRL(06)ht [and membrane]; Kleihaus et al JHEP(06)ht [non-uniform]; Chowdhury et al NPB(07) [phase transition].
@ In higher dimensions: Helfgott et al JHEP(06)ht/05; Galloway & Shoen CMP(06); Rácz CQG(08)-a0806 [proof of generalized Hawking theorem]; > s.a. higher-dimensional solutions; uniqueness and hair.
@ Other topology: Galloway CMP(93); Chrusciel & Wald CQG(94)gq; Chrusciel et al CQG(06) [no degenerate components for static vacuum]; > s.a. horizons; modified theories; black-hole phenomenology.

Other References > s.a. Antigravity; particle effects and models; phase transitions; black-hole phenomenology; wormholes.
@ Membrane: Price & Thorne PRD(86), SA(88)apr; Thorne et al 86; Carter in(92)ht/04 [equilibrium geometry]; Parikh & Wilczek PRD(98)gq/97; Straumann in(98)ap/97; Parikh PhD(98)ht/99; Cardoso et al IJMPD(08)-a0705 [black objects in higher dimensions].
@ Other approaches / models: Abramowicz & Sonego 02 [optical geometry]; Gourgoulhon & Jaramillo NAR(08)-a0803-in [hypersurfaces foliated by trapped surfaces]; Skenderis & Taylor PRP(08)-a0804 [fuzzball proposal]; Hamilton & Lisle AJP(08)jun [river model]; Caldarelli et al a0901 [lump of fluid].
@ Non-singular: Newman GRG(89); Berman gq/04; Hayward PRL(06) [formation + evaporation]; > s.a. 4D and modified solutions.
@ Related topics: Laughlin IJMPA(03)gq-in [vacuum phase boundaries].


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