Dynamics of a small black hole in a background universe

Details Dynamics of a small black hole in a background universe Dynamics of a small black hole in a background universe

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phrvd..11.1387d&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 11, Mar. 15, 1975, p. 1387-1403. Research supported by the Science Re

Astronomy and Astrophysics

Astronomy

63

Black Holes (Astronomy), Dynamic Characteristics, Einstein Equations, Relativistic Theory, Universe, Astronomical Models, Asymptotes, Boundary Value Problems, Equations Of Motion, Gravitational Fields, Kerr Effects, Relativity, Schwarzschild Metric

Scientific paper

A technique involving matched asymptotic expansions is used to investigate the dynamics of a black hole surrounded by an external background universe in the context of the Einstein field equations. Expansions describing the perturbations produced in the basic Kerr geometry by the background and in the background metric by the black hole are matched in some common region of validity, and the black hole is shown to move approximately along a timelike geodesic in the background while its spin is transported approximately parallel along the geodesic. The largest distortions produced by the black hole and the background are analyzed, and the background curvature is found to induce quadrupole distortions in the black hole which slow down the rotation and change the basic structure of the Kerr black hole over long time scales. The behavior of a small black hole in the background is described under the Brans-Dicke field equations, and it is shown that the black hole will move on a geodesic in the Einstein conformal plane.

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