Black hole in a gravitational field

Details Black hole in a gravitational field Black hole in a gravitational field

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14....1k&link_type=abstract

General Relativity and Gravitation, vol. 14, Jan. 1982, p. 1-4.

Astronomy and Astrophysics

Astronomy

11

Black Holes (Astronomy), Einstein Equations, Gravitational Fields, Schwarzschild Metric, Stellar Gravitation, Coordinate Transformations, Scalars, Vacuum

Scientific paper

An exact, axially symmetric, Petrov type I solution of the vacuum Einstein field equations is constructed for a Schwarzschild black hole imbedded in an external gravitational field. Since the solution is time independent, it is expected that an artificial coordinate singularity will exist along the axis acting, in effect, as a strut that holds the hole in a static position. A static axially symmetric vacuum solution is generalized and cast into a form appropriate for the Schwarzschild metric. The relevant functions and coordinates are defined and the differential equations solved for scalar fields. The result is substituted into the generalized solution. By examining the geometry of the event horizon, it can be shown that the external vacuum field causes the hole to become more elongated along its axis.

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