Classical Stability of Round and Squashed Seven Spheres in Eleven-dimensional Supergravity

Page, Don N.

doi:10.1103/PhysRevD.28.2976

Classical Stability of Round and Squashed Seven Spheres in Eleven-dimensional Supergravity

Don N. Page
(
- Texas U. and
- Penn State U.
)

1983

27 pages

Published in:

Phys.Rev.D 28 (1983) 2976

DOI:

10.1103/PhysRevD.28.2976

Report number:

PRINT-84-0129 (PENN-STATE)

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Abstract: (APS)

Four-dimensional field equations are derived for perturbations of the seven-sphere size and squashing parameter in eleven-dimensional supergravity configurations in which the rank-four tensor gauge field strength is proportional to the four-dimensional volume element. Field equations are also derived for perturbations in the size of a round or squashed Einstein-metric S7 and in the magnitude of gauge-field-potential components proportional to an antisymmetric torsion tensor on these seven-spheres. The known anti—de Sitter—invariant solutions with round or squashed seven-spheres are shown to be classically stable to these perturbations.

general relativity
QUANTUM GRAVITY
SUPERGRAVITY
Kaluza-Klein model
FIELD THEORY: ELEVEN-DIMENSIONAL
FIELD EQUATIONS: SOLUTION

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Figures(0)

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