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Null dust solution information


In mathematical physics, a null dust solution (sometimes called a null fluid) is a Lorentzian manifold in which the Einstein tensor is null. Such a spacetime can be interpreted as an exact solution of Einstein's field equation, in which the only mass–energy present in the spacetime is due to some kind of massless radiation.

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Null dust solution

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mathematical physics, a null dust solution (sometimes called a null fluid) is a Lorentzian manifold in which the Einstein tensor is null. Such a spacetime can...

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Dust solution

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dust solution. A null dust solution is a dust solution where the Einstein tensor is null.[further explanation needed] A Bianchi dust models exhibits various[which...

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William Morris Kinnersley

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under the direction of Jon Mathews. In 1969, he published an exact null dust solution to the Einstein field equation and thereby created the photon rocket...

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Van Stockum dust

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relativity, the van Stockum dust is an exact solution of the Einstein field equations in which the gravitational field is generated by dust rotating about an axis...

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Exact solutions in general relativity

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is the field energy (and momentum) of the electromagnetic field, Null dust solutions: T α β {\displaystyle T^{\alpha \beta }} must correspond to a stress–energy...

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Vaidya metric

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symmetric and nonrotating star which is either emitting or absorbing null dusts. It is named after the Indian physicist Prahalad Chunnilal Vaidya and...

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Bonnor beam

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\\\end{array}}\right.} This is a null dust solution and can be interpreted as incoherent electromagnetic radiation. The exterior part of the solution is defined by { d...

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Kerr metric

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as follows. These solutions were proposed by Kerr and Schild in 1965. Notice that k is a unit 3-vector, making the 4-vector a null vector, with respect...

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Timeline of gravitational physics and relativity

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Ivor M. Robinson and Andrzej Trautman discover the Robinson-Trautman null dust solution 1960 – Robert Pound and Glen Rebka test the gravitational redshift...

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Petrov classification

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the class of non-conformally flat null electrovacuum or null dust solutions admitting an expanding but nontwisting null congruence is precisely the class...

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Closed timelike curve

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hole the van Stockum dust (which models a cylindrically symmetric configuration of dust) the Gödel lambda dust (which models a dust with a carefully chosen...

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Raychaudhuri equation

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description of the motion of the dust. There is also an optical (or null) version of Raychaudhuri's equation for null geodesic congruences. θ ^ ˙ = − 1...

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Light scattering by particles

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known as null field method and extended boundary technique method (EBCM). Matrix elements are obtained by matching boundary conditions for solutions of Maxwell...

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Tipler cylinder

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important exact solutions in general relativity, including the Kerr vacuum (which models a rotating black hole) and the van Stockum dust (which models a...

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Wormhole

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structure connecting disparate points in spacetime, and is based on a special solution of the Einstein field equations. A wormhole can be visualized as a tunnel...

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Monochromatic electromagnetic plane wave

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source-free solution of the Maxwell field equations on the particular curved spacetime defined by the metric tensor above. It is a null solution, and it represents...

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Yoichi Ochiai

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Existence from null to null: Encoded Eternity, Object-Oriented Primal Vow (Sep.17 – Nov.5, 2023 / Gifu, Kusakabe Folk Museum]) From null, all phenomena...

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Timeline of luminiferous aether

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due to experimental error. Many physicists dust off Stokes' work, and dragging becomes the "standard solution" 1887 to 1888 – Heinrich Hertz verifies the...

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Salt lake

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next 25 years to mitigate dust from the desiccated lakebed, which is more than the value of the diverted water. Solutions to the decline of saline lakes...

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Cantor set

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set C {\displaystyle {\mathcal {C}}} is "small" in the sense that it is a null set (a set of measure zero) and it is a meagre subset of [0,1]. However,...

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Penrose diagram

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diagonal boundary lines of a Penrose diagram correspond to the region called "null infinity", or to singularities where light rays must end. Thus, Penrose diagrams...

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Schwarzschild geodesics

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found the solution in 1915, only about a month after the publication of Einstein's theory of general relativity. It was the first exact solution of the Einstein...

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