Stationary strings near a higher-dimensional rotating black hole

Details Stationary strings near a higher-dimensional rotating black hole Stationary strings near a higher-dimensional rotating black hole

2004-04-07

arxiv.org/abs/gr-qc/0404035v3

Phys.Rev. D70 (2004) 044035

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, contains additianal material at the end of Section 8, also small misprints are corrected

Scientific paper

10.1103/PhysRevD.70.044035

We study stationary string configurations in a space-time of a higher-dimensional rotating black hole. We demonstrate that the Nambu-Goto equations for a stationary string in the 5D Myers-Perry metric allow a separation of variables. We present these equations in the first-order form and study their properties. We prove that the only stationary string configuration which crosses the infinite red-shift surface and remains regular there is a principal Killing string. A worldsheet of such a string is generated by a principal null geodesic and a timelike at infinity Killing vector field. We obtain principal Killing string solutions in the Myers-Perry metrics with an arbitrary number of dimensions. It is shown that due to the interaction of a string with a rotating black hole there is an angular momentum transfer from the black hole to the string. We calculate the rate of this transfer in a spacetime with an arbitrary number of dimensions. This effect slows down the rotation of the black hole. We discuss possible final stationary configurations of a rotating black hole interacting with a string.

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