Christos Charmousis and Ruth Gregory 2004 Class. Quantum Grav. 21 527 doi:10.1088/0264-9381/21/2/016
Christos Charmousis1 and Ruth Gregory2
Show affiliationsWe consider axially symmetric static metrics in arbitrary dimension, both with and without a cosmological constant. The most obvious such solutions have an SO(n) group of Killing vectors representing the axial symmetry, although one can also consider Abelian groups which represent a flat 'internal space'. We relate such metrics to lower-dimensional dilatonic cosmological metrics with a Liouville potential. We also develop a duality relation between vacuum solutions with internal curvature and those with zero internal curvature but a cosmological constant. This duality relation gives a solution-generating technique permitting the mapping of different spacetimes. We give a large class of solutions to the vacuum or cosmological constant spacetimes. We comment on the extension of the C-metric to higher dimensions and provide a novel solution for a braneworld black hole.
04.70.-s Physics of black holes
11.25.Wx String and brane phenomenology
02.20.Qs General properties, structure, and representation of Lie groups
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
Issue 2 (21 January 2004)
Received 14 July 2003
Published 10 December 2003
Christos Charmousis and Ruth Gregory 2004 Class. Quantum Grav. 21 527
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