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Isotropic coordinates

In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. There are several different types of coordinate chart which are adapted to this family of nested spheres; the best known is the Schwarzschild chart, but the isotropic chart is also often useful. The defining characteristic of an isotropic chart…

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Killing vector fields

Lie algebraKilling vector fieldsIrrotationalHypersurface orthogonal
4 related topics

A metric Ansatz

AnsatzMetric theories of gravitationCoframe field
3 related topics

Definition

MetricLine element
2 related topics

A family of static nested spheres

Euclidean space
1 related topics

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Definition

Killing vector fields

A family of static nested spheres

A metric Ansatz

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Isotropic coordinates

Nodes26
Edges25
Triples3
Avg. degree1.92
Density0.076923
Components1

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Important terminology

isotropic chart coordinate spherically symmetric schwarzschild spheres static nested metric spacetime radial displaystyle family field round also form coordinates spacetimes

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SubjectPredicateObjectConfidenceSrc
general relativityinstance ofhence the name of the chart.Isotropic charts are most often applied to static spherically symmetric spacetimes in metric theories of gravitation0.80text
but they can also be used in modeling a spherically pulsating fluid ballinstance ofhence the name of the chart.Isotropic charts are most often applied to static spherically symmetric spacetimes in metric theories of gravitation0.80text
for exampleinstance ofhence the name of the chart.Isotropic charts are most often applied to static spherically symmetric spacetimes in metric theories of gravitation0.80text

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