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Horizons of coalescing black holes on the Eguchi–Hanson space

Chul-Moon Yoo1,2, Hideki Ishihara2, Masashi Kimura2, Ken Matsuno2 and Shinya Tomizawa2

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Using the numerical method, we study the dynamics of coalescing black holes on the Eguchi–Hanson base space. The effects of a difference in spacetime topology on the black hole dynamics is discussed. We analyze the appearance and disappearance process of marginal surfaces. In our calculation, the area of a coverall black hole horizon at the creation time in the coalescing black hole solutions on the Eguchi–Hanson space is larger than that in the five-dimensional Kastor–Traschen solutions. This fact suggests that the black hole production on the Eguchi–Hanson space is easier than that on the flat space.


PACS

04.70.-s Physics of black holes

97.60.Lf Black holes

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

02.40.-k Geometry, differential geometry, and topology

MSC

83C57 Black holes

83C75 Space-time singularities, cosmic censorship, etc.

83F05 Cosmology

Subjects

Mathematical physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 9 (7 May 2008)

Received 7 August 2007, in final form 27 February 2008

Published 22 April 2008



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