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Exact solutions for gravitational collapse with a dilaton field in arbitrary dimensions

Takuya Maki-+ and Kiyoshi Shiraishi++

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We present time-dependent analytic solutions to the Einstein equations coupled with a dilaton (scalar) field. The background geometry for the solutions is a product of an N-dimensional spherically symmetric space and a d-dimensional flat space. We discuss the global properties of the spacetime.


PACS

04.20.Jb Exact solutions

95.30.Sf Relativity and gravitation

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

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

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 1 (January 1995)

Received 2 August 1994, in final form 11 October 1994



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