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Belinski–Zakharov transform

Index Belinski–Zakharov transform

The Belinski–Zakharov (inverse) transform is a nonlinear transformation that generates new exact solutions of the vacuum Einstein's field equation. [1]

10 relations: Einstein field equations, Einstein notation, Einstein–Rosen metric, Gravitational soliton, Inverse scattering transform, Kerr metric, Schwarzschild metric, Spacetime, Vladimir Belinski, Vladimir E. Zakharov.

Einstein field equations

The Einstein field equations (EFE; also known as Einstein's equations) comprise the set of 10 equations in Albert Einstein's general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.

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Einstein notation

In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving notational brevity.

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Einstein–Rosen metric

The Einstein–Rosen metric is an exact solution of Einstein's field equation.

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Gravitational soliton

A gravitational soliton is a soliton solution of the Einstein field equation.

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Inverse scattering transform

In mathematics, the inverse scattering transform is a method for solving some non-linear partial differential equations.

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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 spherical event horizon.

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Schwarzschild metric

In Einstein's theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild vacuum or Schwarzschild solution) is the solution to the Einstein field equations that describes the gravitational field outside a spherical mass, on the assumption that the electric charge of the mass, angular momentum of the mass, and universal cosmological constant are all zero.

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Spacetime

In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

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Vladimir Belinski

Vladimir Alekseevich Belinski (last name is also spelled Belinsky, Владимир Алексеевич Белинский; born 26 March 1941) is a Russian and Italian theoretical physicist involved in research in cosmology and general relativity.

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Vladimir E. Zakharov

Vladimir Evgen'evich Zakharov (Влади́мир Евге́ньевич Заха́ров; born August 1, 1939) is a Soviet and Russian mathematician and physicist.

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Redirects here:

Belinski-Zakharov transform, Belinski-zakharov transform.

References

[1] https://en.wikipedia.org/wiki/Belinski–Zakharov_transform

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