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Kerr metric

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.

Features, Metric & Relation to other exact solutions

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Overview

Metric

Mass of rotational energy

Wave operator

Frame dragging

Important surfaces

Ergosphere and the Penrose process

Features

Symmetries

Overextreme Kerr solutions

Anti-universe region

Relation to other exact solutions

Multipole moments

Open problems

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Map overview Semantic statistics

Kerr metric

Nodes128
Edges127
Triples94
Avg. degree1.98
Density0.015625
Components1

How this topic connects Entity context

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Kerr metric

Top relations

related to overview · 17
Kerr metric → According, Gravity Probe, However, In, Karl Schwarzschild, Kerr, Lense, Newman, Nordström, Reissner, Roughly, Roy Kerr, Schwarzschild, The, The Kerr, These, Thirring
related to Metric · 12
Kerr metric → Boyer, Ellipsoid, Ernst, It, Janis, Kerr, Lindquist, Newman, Penrose, Schild, Schwarzschild, The Kerr
related to Symmetries · 12
Kerr metric → As, In, It, Kerr, Killing, Like, Noether's, Poincaré, The, These, This, Thus
related to Features · 11
Kerr metric → Cauchy, In, Kerr, Killing, Note, Petrov, The, The Kerr, The Weyl, There, This
related to Kerr–Schild coordinates · 10
Kerr metric → Cartesian, Here, It, Kerr, Minkowski, Notice, Schild, The, The Kerr, These
related to Soliton coordinates · 6
Kerr metric → As, Belinski, Kerr, NUT, This, Zakharov
related to Important surfaces · 5
Kerr metric → Kerr, Schwarzschild, Solving, The, There
is a · 4
Kerr metric → exact solution of the Einstein field equations of general relativity, generalization to a rotating body of the Schwarzschild metric, mathematical construct with negative mass, subgroup of the ten-dimensional Poincaré group which takes the two-dimensional locus of the singularity to itself
related to Anti-universe region · 4
Kerr metric → As, Boyer-Lindquist, In, The Kerr
related to Boyer–Lindquist coordinates · 4
Kerr metric → Boyer, Lindquist, The, The Kerr

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Important terminology

kerr black displaystyle metric hole mass rotating horizon solutions spacetime schwarzschild event solution geometry general moments ergosphere momentum vacuum relativity

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Kerr metricis aexact solution of the Einstein field equations of general relativity0.90text
Kerr metricis ageneralization to a rotating body of the Schwarzschild metric0.90text
Kerr metricis asubgroup of the ten-dimensional Poincaré group which takes the two-dimensional locus of the singularity to itself0.90text
Kerr metricis amathematical construct with negative mass0.90text
a neutron starinstance ofit should be able to be used as an exterior solution to model the gravitational field around a rotating massive object other than a black hole0.80text
or the Earthinstance ofit should be able to be used as an exterior solution to model the gravitational field around a rotating massive object other than a black hole0.80text
Kerr metricrelated to Anti-universe regionThe Kerr0.60section
Kerr metricrelated to Anti-universe regionIn0.60section
Kerr metricrelated to Anti-universe regionBoyer-Lindquist0.60section
Kerr metricrelated to Anti-universe regionAs0.60section
Kerr metricrelated to Boyer–Lindquist coordinatesThe Kerr0.60section
Kerr metricrelated to Boyer–Lindquist coordinatesThe0.60section

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