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Compact Einstein spaces based on quaternionic Kahler manifolds

May, 2003

29 pages

Published in:

Class.Quant.Grav. 20 (2003) 3933-3950

e-Print:

hep-th/0305231 [hep-th]

DOI:

10.1088/0264-9381/20/18/307

Report number:

OCU-200,
AP-GR-10

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Abstract:

We investigate the Einstein equation with a positive cosmological constant for

4n+4

-dimensional metrics on bundles over Quaternionic Kahler base manifolds whose fibers are 4-dimensional Bianchi IX manifolds. The Einstein equations are reduced to a set of non-linear ordinary differential equations. We numerically find inhomogeneous compact Einstein spaces with orbifold singularity.

space-time
dimension: >4
Einstein equation: solution
boundary condition
space: Kaehler
space: quaternion
numerical calculations

References(20)

Figures(0)

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