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Many accelerating black holes

H F Dowker1 and S N Thambyahpillai2

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We show how the Weyl formalism allows metrics to be written down which correspond to arbitrary numbers of collinear accelerating neutral black holes in 3 + 1 dimensions. The black holes have arbitrary masses and different accelerations and share a common acceleration horizon. In the general case, the black holes are joined by cosmic strings or struts that provide the necessary forces that, together with the inter black-hole gravitational attractions, produce the acceleration. In the cases of two and three black holes, the parameters may be chosen so that the outermost black hole is pulled along by a cosmic string and the inner black holes follow behind accelerated purely by gravitational forces. We conjecture that similar solutions exist for any number of black holes.


PACS

04.70.Bw Classical black holes

11.10.Jj Asymptotic problems and properties

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

11.10.Cd Axiomatic approach

MSC

81T05 Axiomatic quantum field theory; operator algebras

83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)

83C57 Black holes

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 1 (7 January 2003)

Received 10 September 2002

Published 12 December 2002



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