7 x 70 + 1 = skandal

ar X iv : g r - qc / 9 70 70 27 v 1 1 3 Ju l 1 99 7 CGPG - 97 / 7 - 1 Black Holes with Short Hair

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical collapse. We also show that a recent ‘no short hair’ theorem does not apply to these solutions. Pacs numbers: 04.20.Jb, 04.40.Nr, 04.70.Bw Typeset using REVTEX

ar X iv : g r - qc / 9 70 70 27 v 2 2 9 Ju l 1 99 7 CGPG - 97 / 7 - 1 Black Holes with Short Hair

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical collapse. We also show that a recent ‘no short hair’ theorem does not apply to these solutions. Pacs numbers: 04.20.Jb, 04.40.Nr, 04.70.Bw Typeset using REVTEX

ar X iv : a lg - g eo m / 9 70 70 04 v 1 7 J ul 1 99 7 PRINCIPAL G - BUNDLES OVER ELLIPTIC CURVES

CALT - 2017 - 040 ar X iv : 1 70 7 . 04 01 7 v 1 [ he p - th ] 1 3 Ju l 2 01 7

We introduce and explore the relation between knot invariants and quiver representation theory, which follows from the identification of quiver quantum mechanics in D-brane systems representing knots. We identify various structural properties of quivers associated to knots, and identify such quivers explicitly in many examples, including some infinite families of knots, all knots up to 6 crossi...

ar X iv : g r - qc / 9 70 80 33 v 1 1 6 A ug 1 99 7

We discuss the sensitivity of the CASSINI experiments to gravitational waves emitted by the in-spiral of compact binaries. We show that the maximum distance reachable by the instrument is ∼ 100 Mpc. In particular, CASSINI can detect massive black hole binaries with chirp mass > ∼ 10 6 M ⊙ in the Virgo Cluster with signal-to-noise ratio between 5 and 30 and possible compact objects of mass > ∼ 3...