The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially symmetric black hole with a quasispherical...

The Kerr–Newman metric describes the spacetime geometry around a mass which is electrically charged and rotating. It is a vacuum solution which generalizes...

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...

t-coordinate basis vector, and the −+++ signature convention is used. The Kerr metric, describing a rotating black hole, has two independent Killing vectors...

solution Reissner–Nordström metric (charged, non-rotating solution) Kerr metric (uncharged, rotating solution) Kerr–Newman metric (charged, rotating solution)...

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...

relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study. The metric captures all the...

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...

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...

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...

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...

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...

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...

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...

singularities" are unstable. Disappearing event horizons exist in the Kerr metric, which is a spinning black hole in a vacuum. Specifically, if the angular...

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...

Reissner-Nordström metric" (PDF). Archived (PDF) from the original on 9 October 2022. Teukolsky, Saul (1 June 2015). "The Kerr metric" (PDF). Classical...

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...

Lorentzian geometry, a number of Ricci-flat metrics are known from works of Karl Schwarzschild, Roy Kerr, and Yvonne Choquet-Bruhat. In Riemannian geometry...

black hole 1963 — Roy Kerr solves the Einstein vacuum field equations for uncharged symmetric rotating systems, deriving the Kerr metric for a rotating black...

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....

general-relativistic correction accounting for the frame dragging by the Kerr metric of curved space near a large rotating mass. The Schwarzschild geodesics...

general relativistic correction accounting for the frame dragging by the Kerr metric of curved space time near a large rotating mass. Schwarzschild geodesics...

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...

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...

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...

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...

the Schwarzschild solution, the Reissner–Nordström solution and the Kerr metric, each corresponding to a certain type of black hole in an otherwise empty...

asymptotically flat spacetime is the Schwarzschild metric solution. More generally, the Kerr metric is also asymptotically flat. But another well known...

}} is the four-momentum and g μ ν {\displaystyle g_{\mu \nu }} is the Kerr metric. Thus, the conserved energy constant and angular momentum constant are...