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The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially symmetric black hole with a quasispherical event horizon.The Kerr metric is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions very difficult to find.
The Kerr–Newman metric describes the spacetime geometry around a mass which is electrically charged and rotating. It is a vacuum solution which generalizes the Kerr metric (which describes an uncharged, rotating mass) by additionally taking into account the energy of an electromagnetic field, making it the most general asymptotically flat and stationary solution of the Einstein–Maxwell ...
Kerr black holes are featured extensively in the 2009 visual novel Steins;Gate (also TV / manga), for their possibilities in time travelling. [15] These are, however, magnified greatly for the purpose of story telling. Kerr black holes are also key to the "Swan Song" project by Joe Davis. [16] [17] They are also a key element in the 2014 film ...
The two types of charged black holes are Reissner–Nordström black holes (without spin), [1] and Kerr–Newman black holes (with spin). A black hole can be completely characterized by three (and only three) quantities: [1] M – mass; J – angular momentum; Q – electric charge; Charged black holes are two of four possible types of black ...
In physics, black hole thermodynamics [1] is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons.As the study of the statistical mechanics of black-body radiation led to the development of the theory of quantum mechanics, the effort to understand the statistical mechanics of black holes has had a deep impact upon the ...
The black hole related surfaces are color coded as in here. Left: horizons, right: ergosheres for M=1, a=9/10, ℧=2/5, Λ=1/9. At this point the black hole's outer ergosphere has joined the cosmic one to form two domes around the black hole. Unstable orbit at r=2 with the black hole and cosmic parameters as in the image above.
The Carter constant is a conserved quantity for motion around black holes in the general relativistic formulation of gravity. Its SI base units are kg 2 ⋅m 4 ⋅s −2.Carter's constant was derived for a spinning, charged black hole by Australian theoretical physicist Brandon Carter in 1968.
This line element describes the Kerr–Newman metric. Here, M {\displaystyle M} is to be interpreted as the mass of the black hole, as seen by an observer at infinity, J {\displaystyle J} is interpreted as the angular momentum , and Q {\displaystyle Q} the electric charge .