Ultrarelativistic limits of boosted dilaton black holes

Details Ultrarelativistic limits of boosted dilaton black holes Ultrarelativistic limits of boosted dilaton black holes

1998-01-29

arxiv.org/abs/gr-qc/9801097v1

Nucl.Phys. B528 (1998) 265-282

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 17 pages, no figures

Scientific paper

10.1016/S0550-3213(98)00333-2

We investigate the ultrarelativistic limits of dilaton black holes, black $p$-branes (strings), multi-centered dilaton black hole solutions and black $p$-brane (string) solutions when the boost velocity approaches the speed of light. For dilaton black holes and black $p$-branes (boost is along the transverse directions), the resulting geometries are gravitational shock wave solutions generated by a single particle and membrane. For the multi-centered dilaton black hole solutions and black $p$-brane solutions (boost is along the transverse directions), the limiting geometries are shock wave solutions generated by multiple particles and membranes. When the boost is along the membrane directions, for the black $p$-brane and multi-centered black $p$-brane solution, the resulting geometries describe general plane-fronted waves propagating along the membranes. The effect of the dilaton on the limit is considered.

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