See a black hole on a shoestring
Abstract
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 include 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.
 Publication:

Physical Review D
 Pub Date:
 September 2006
 DOI:
 10.1103/PhysRevD.74.064029
 arXiv:
 arXiv:grqc/0602065
 Bibcode:
 2006PhRvD..74f4029H
 Keywords:

 04.20.Gz;
 04.70.Dy;
 Spacetime topology causal structure spinor structure;
 Quantum aspects of black holes evaporation thermodynamics;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 5 pages, 1 figure, extensive changes to refect version accepted to PRD