• The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially symmetric black hole with a quasispherical...
    53 KB (6,959 words) - 21:46, 13 December 2024
  • The Kerr–Newman metric describes the spacetime geometry around a mass which is electrically charged and rotating. It is a vacuum solution which generalizes...
    31 KB (4,780 words) - 19:27, 30 October 2024
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    field equation. There are two known exact solutions, the Kerr metric and the Kerr–Newman metric, which are believed to be representative of all rotating...
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  • solution Reissner–Nordström metric (charged, non-rotating solution) Kerr metric (uncharged, rotating solution) Kerr–Newman metric (charged, rotating solution)...
    38 KB (5,144 words) - 15:18, 19 December 2024
  • t-coordinate basis vector, and the −+++ signature convention is used. The Kerr metric, describing a rotating black hole, has two independent Killing vectors...
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  • limit where M (or, equivalently, rs) goes to zero, the Kerr metric becomes the orthogonal metric for the oblate spheroidal coordinates c 2 d τ 2 = c 2...
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  • relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study. The metric captures all the...
    15 KB (2,490 words) - 22:13, 19 October 2024
  • analogous solution for a charged, rotating body is given by the Kerr–Newman metric. The metric was discovered between 1916 and 1921 by Hans Reissner, Hermann...
    19 KB (3,497 words) - 15:50, 15 December 2024
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    the Kerr metric, which is a spinning black hole in a vacuum, if the angular momentum ( J {\displaystyle J} ) is high enough. Transforming the Kerr metric...
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  • the metric of a Schwarzschild black hole that can be used to express the metric of a Kerr black hole. The Hamiltonian for particle motion in Kerr spacetime...
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  • equations. In 1964, Newman and Janis showed that the Kerr metric could be obtained from the Schwarzschild metric by means of a coordinate transformation and allowing...
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  • Tamburino and Unti showed how to extend the metric across these surfaces. When Roy Kerr developed the Kerr metric for spinning black holes in 1963, he ended...
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  • supermassive stars. It can be shown that it is an approximation to the Kerr metric (which describes a rotating black hole) when the quadrupole moment is...
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  • The Kerr–Newman–de–Sitter metric (KNdS) is the one of the most general stationary solutions of the Einstein–Maxwell equations in general relativity that...
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  • singularities" are unstable. Disappearing event horizons exist in the Kerr metric, which is a spinning black hole in a vacuum. Specifically, if the angular...
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  • referred to as a ringularity or Kerr singularity. A rotating hole's rotational frame-dragging effects, described by the Kerr metric, cause spacetime in the vicinity...
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    concept of Kerr–Schild perturbations and developed the Kerr–Newman metric. During his time in Texas, Kerr supervised four PhD students. In 1971, Kerr returned...
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  • Lorentzian geometry, a number of Ricci-flat metrics are known from works of Karl Schwarzschild, Roy Kerr, and Yvonne Choquet-Bruhat. In Riemannian geometry...
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    Reissner-Nordström metric" (PDF). Archived (PDF) from the original on 9 October 2022. Teukolsky, Saul (1 June 2015). "The Kerr metric" (PDF). Classical...
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  • black hole 1963 — Roy Kerr solves the Einstein vacuum field equations for uncharged symmetric rotating systems, deriving the Kerr metric for a rotating black...
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  • universe does not appear to have, such as the universal rotation of the Gödel metric or the rotating cylinder of infinite length known as a Tipler cylinder....
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    general-relativistic correction accounting for the frame dragging by the Kerr metric of curved space near a large rotating mass. The Schwarzschild geodesics...
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    February 2019. Kerr, R. P. (2009). "The Kerr and Kerr-Schild metrics". In Wiltshire, D. L.; Visser, M.; Scott, S. M. (eds.). The Kerr Spacetime. Cambridge...
    166 KB (18,724 words) - 20:50, 8 December 2024
  • Thumbnail for Gravitational collapse
    describable by the historic Schwarzschild metric in the spherical limit and by the more recently discovered Kerr metric if angular momentum is present. If the...
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  • general relativistic correction accounting for the frame dragging by the Kerr metric of curved space time near a large rotating mass. Schwarzschild geodesics...
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  • black holes is somewhat more complicated. The equatorial ISCO in the Kerr metric depends on whether the orbit is prograde (negative sign in r m s {\displaystyle...
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  • cosmic censorship is violated but strong cosmic censorship is valid. The Kerr metric, corresponding to a black hole of mass M {\displaystyle M} and angular...
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  • asymptotically flat spacetime is the Schwarzschild metric solution. More generally, the Kerr metric is also asymptotically flat. But another well known...
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  • the Schwarzschild solution, the Reissner–Nordström solution and the Kerr metric, each corresponding to a certain type of black hole in an otherwise empty...
    194 KB (22,628 words) - 01:58, 21 December 2024
  • black-hole spacetimes, the Schwarzschild metric, the Reissner–Nordström metric, the Kerr metric and the Kerr–Newman metric, and in all cosmological solutions...
    22 KB (3,133 words) - 09:11, 30 November 2024