A double Myers-Perry black hole in five dimensions

Herdeiro, Carlos; Rebelo, Carmen; Zilhão, Miguel; Costa, Miguel S.

doi:10.1088/1126-6708/2008/07/009

Cited by 19 publications

(26 citation statements)

References 55 publications

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“…[27]; in the co-rotating case a discussion of equilibrium thermodynamics may be considered, as in Ref. [28]) or the double Myers-Perry solution [29]. Of course a more challenging problem is to give a general argument for (5.1), without relying on specific examples.…”

Section: Further Remarksmentioning

confidence: 99%

Bekenstein-Hawking area law for black objects with conical singularities

et al. 2010

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We argue that, when working with the appropriate set of thermodynamical variables, the BekensteinHawking law still holds for asymptotically flat black objects with conical singularities. The mass-energy which enters the first law of thermodynamics does not, however, coincide with the ADM mass; it differs from the latter by the energy associated with the conical singularity, as seen by an asymptotic, static observer. These statements are supported by a number of examples: the Bach-Weyl (double-Schwarzschild) solution, its dihole generalisation in Einstein-Maxwell theory and the five dimensional static black ring. IntroductionConical singularities have a topological nature. They arise from identifications along the orbits of a U (1) isometry, in the neighbourhood of a fixed point of this symmetry. It is therefore somewhat surprising that there are circumstances under which the local equations of general relativity demand the existence of conical singularities. One such circumstance is realised in non-extremal multi-black hole solutions. The long range interactions in these solutions are unable to provide equilibrium between the various black holes. The role of the conical singularities is to provide the force balance that allows the existence of such solutions in a non-linear theory. The basic example is the Bach-Weyl (BW) or double-Schwarzschild solution [1], which describes two static black holes in four dimensional vacuum general relativity. This configuration belongs to the general class of static Ricci flat vacua with a U (1) isometry found by Weyl [2], and it was generalised to N collinear Schwarzschild black holes by Israel and Khan [3]. The occurrence of conical singularities in the BW solutions was first discussed by Einstein and Rosen [4]; the generic solution must have these singularities, albeit their precise location is a matter of choice. Depending on the choice of periodicity for the coordinate along the U (1) orbits, the conical singularity can be put either in between the two black holes -in which case it is interpreted as a strut -or connecting either black hole to infinity -in which case it is interpreted as a string. In order for the spacetime to be asymptotically flat (without any conical singularities at spatial infinity), we shall take the former viewpoint. The strut energy is then interpreted as the interaction energy between the black holes, while its pressure prevents the gravitational collapse of the system.Another such circumstance is realised in unbalanced single black hole solutions. In more than four spacetime dimensions, there are black objects with a topologically non-spherical horizon that, in vacuum, can only be balanced in a regular (on and outside the event horizon) geometry by introducing rotation. Their static version possesses conical singularities. The basic example is the static black ring [5,6] in five spacetime dimensions. As before, the precise location of the conical singularity is a matter of choice. Demanding regularity at spatial infinity one finds a (spatia...

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Section: Further Remarksmentioning

confidence: 99%

Bekenstein-Hawking area law for black objects with conical singularities

et al. 2010

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“…However, as shown in Ref. 14), even for the rotational solution, the existence of conical singularities seems to be unable to be avoided. §3.…”

Section: Other Multiple Black Holesmentioning

confidence: 92%

Chapter 2. Exact Solutions of Higher Dimensional Black Holes

Tomizawa

Ishihara

2011

Prog. Theor. Phys. Suppl.

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“…Other more complicated configurations are also known such as the black di-ring discussed by Iguchi and Mishima (2007) [84] and bicycling black rings by Elvang and Rodriguez (2008) [85]. Multiple-MP black hole configurations have also been considered, but the existence of conical singularities seems to be unavoidable [86]. A good review of exact solutions for higher dimensional black holes was recently presented by Emparan and Reall (2008) [87] and Tomizawa and Ishihara (2011) [88].…”

Section: Multi Black Holesmentioning

confidence: 99%

Black holes and the LHC: A review

Park¹

2012

Progress in Particle and Nuclear Physics

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In low-scale gravity models, a particle collider with trans-Planckian collision energies can be an ideal place for producing black holes because a large amount of energy can be concentrated at the collision point, which can ultimately lead to black hole formation. In this article, the theoretical foundation for microscopic higher dimensional black holes is reviewed and the possible production and detection at the LHC is described and critically examined.

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A double Myers-Perry black hole in five dimensions

Cited by 19 publications

References 55 publications

Bekenstein-Hawking area law for black objects with conical singularities

Bekenstein-Hawking area law for black objects with conical singularities

Chapter 2. Exact Solutions of Higher Dimensional Black Holes

Black holes and the LHC: A review

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