See a Black Hole on a Shoestring

Details See a Black Hole on a Shoestring See a Black Hole on a Shoestring

2006-02-16

arxiv.org/abs/gr-qc/0602065v2

Phys.Rev. D74 (2006) 064029

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 1 figure, extensive changes to refect version accepted to PRD

Scientific paper

10.1103/PhysRevD.74.064029

The modes of vibration of hanging and partially supported strings provide useful analogies to scalar fields travelling through spacetimes that admit conformally flat spatial sections. This wide class of spacetimes includes static, spherically symmetric spacetimes. The modes of a spacetime where the scale factor depends as a power-law on one of the coordinates provide a useful starting point and yield a new classification of these spacetimes on the basis of the shape of the string analogue. The family of corresponding strings follow a family of curves related to the cycloid, denoted here as hypercycloids (for reasons that will become apparent). Like the spacetimes that they emulate these strings exhibit horizons, typically at their bottommost points where the string tension vanishes; therefore, hanging strings may provide a new avenue for the exploration of the quantum mechanics of horizons.

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