116 research outputs found
Notes on Five-dimensional Kerr Black Holes
The geometry of five-dimensional Kerr black holes is discussed based on
geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal
space are naturally introduced by using special null geodesics. We show that
the geodesics of AdS Kerr black hole are integrable, which generalizes the
result of Frolov and Stojkovic. We also show that five-dimensional AdS Kerr
black holes are isospectrum deformations of Ricci-flat Kerr black holes in the
sense that the eigenvalues of the Weyl curvature are preserved.Comment: 23 pages, 5 figures; analyses on the Weyl curvature of AdS Kerr black
holes are extended, an appendix and references are adde
Properties of some five dimensional Einstein metrics
The volumes, spectra and geodesics of a recently constructed infinite family
of five-dimensional inhomogeneous Einstein metrics on the two bundles
over are examined. The metrics are in general of cohomogeneity one but
they contain the infinite family of homogeneous metrics . The geodesic
flow is shown to be completely integrable, in fact both the Hamilton-Jacobi and
the Laplace equation separate. As an application of these results, we compute
the zeta function of the Laplace operator on for large . We
discuss the spectrum of the Lichnerowicz operator on symmetric transverse
tracefree second rank tensor fields, with application to the stability of
Freund-Rubin compactifications and generalised black holes.Comment: 1+43 pages, 2 figures, LaTeX. Minor typos correcte
Unstable geodesics and topological field theory
A topological field theory is used to study the cohomology of mapping space.
The cohomology is identified with the BRST cohomology realizing the physical
Hilbert space and the coboundary operator given by the calculations of
tunneling between the perturbative vacua. Our method is illustrated by a simple
example.Comment: 28 pages, OCU-15
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