Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-12-30
Phys.Rev. D55 (1997) 7625-7644
Physics
High Energy Physics
High Energy Physics - Theory
45 pages, latex, no figures
Scientific paper
10.1103/PhysRevD.55.7625
Recent developments in string theory have brought forth a considerable interest in time-dependent hair on extended objects. This novel new hair is typically characterized by a wave profile along the horizon and angular momentum quantum numbers $l,m$ in the transverse space. In this work, we present an extensive treatment of such oscillating black objects, focusing on their geometric properties. We first give a theorem of purely geometric nature, stating that such wavy hair cannot be detected by any scalar invariant built out of the curvature and/or matter fields. However, we show that the tidal forces detected by an infalling observer diverge at the `horizon' of a black string superposed with a vibration in any mode with $l \ge 1$. The same argument applied to longitudinal ($l=0$) waves detects only finite tidal forces. We also provide an example with a manifestly smooth metric, proving that at least a certain class of these longitudinal waves have regular horizons.
Kaloper Nemanja
Myers Robert C.
Roussel Harold
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