Axisymmetric metrics in arbitrary dimensions

Details Axisymmetric metrics in arbitrary dimensions Axisymmetric metrics in arbitrary dimensions

2003-06-16

arxiv.org/abs/gr-qc/0306069v3

Class.Quant.Grav. 21 (2004) 527-554

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

36 pages, LaTeX (JHEP), 4 figures, section added (published version)

Scientific paper

10.1088/0264-9381/21/2/016

We 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.

Affiliated with

Also associated with

No associations

Rating

Axisymmetric metrics in arbitrary dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Axisymmetric metrics in arbitrary dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Axisymmetric metrics in arbitrary dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673916