Class of exact solutions to Einstein's field equations
This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. Please help improve this article by introducing more precise citations.(May 2016) (Learn how and when to remove this message)
General relativity
Introduction
History
Timeline
Tests
Mathematical formulation
Fundamental concepts
Equivalence principle
Special relativity
World line
Pseudo-Riemannian manifold
Phenomena
Kepler problem
Gravitational lensing
Gravitational redshift
Gravitational time dilation
Gravitational waves
Frame-dragging
Geodetic effect
Event horizon
Singularity
Black hole
Spacetime
Spacetime diagrams
Minkowski spacetime
Einstein–Rosen bridge
Equations
Formalisms
Equations
Linearized gravity
Einstein field equations
Friedmann
Geodesics
Mathisson–Papapetrou–Dixon
Hamilton–Jacobi–Einstein
Formalisms
ADM
BSSN
Post-Newtonian
Advanced theory
Kaluza–Klein theory
Quantum gravity
Solutions
Schwarzschild (interior)
Reissner–Nordström
Einstein–Rosen waves
Wormhole
Gödel
Kerr
Kerr–Newman
Kerr–Newman–de Sitter
Kasner
Lemaître–Tolman
Taub–NUT
Milne
Robertson–Walker
Oppenheimer–Snyder
pp-wave
van Stockum dust
Weyl−Lewis−Papapetrou
Hartle–Thorne
Scientists
Einstein
Lorentz
Hilbert
Poincaré
Schwarzschild
de Sitter
Reissner
Nordström
Weyl
Eddington
Friedman
Milne
Zwicky
Lemaître
Oppenheimer
Gödel
Wheeler
Robertson
Bardeen
Walker
Kerr
Chandrasekhar
Ehlers
Penrose
Hawking
Raychaudhuri
Taylor
Hulse
van Stockum
Taub
Newman
Yau
Thorne
others
Physics portal
Category
v
t
e
In general relativity, a dust solution is a fluid solution, a type of exact solution of the Einstein field equation, in which the gravitational field is produced entirely by the mass, momentum, and stress density of a perfect fluid that has positive mass density but vanishing pressure. Dust solutions are an important special case of fluid solutions in general relativity.
In general relativity, a dustsolution is a fluid solution, a type of exact solution of the Einstein field equation, in which the gravitational field...
In mathematical physics, a null dustsolution (sometimes called a null fluid) is a Lorentzian manifold in which the Einstein tensor is null. Such a spacetime...
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...
radiation chart, Bondi mass–energy–momentum, LTB dust, maverick models), William B. Bonnor (Bonnor beam solution), Robert H. Boyer (Boyer–Lindquist coordinates)...
is not yet a clear consensus on the sources or potential solutions to the problem. The dust in Iraq and Iran are migratory systems that move from west...
and dusts and radiation fluids each require only one function. It is much easier to find such solutions than it is to find a general fluid solution. Among...
moments). However, the exterior of the Neugebauer–Meinel disk, an exact dustsolution which models a rotating thin disk, approaches in a limiting case the...
Schwarzschild solution. 1924 – Arthur Eddington calculates the Eddington limit. 1924 – Cornelius Lanczos discovers the van Stockum dust, later rediscovered...
Saharan dust (also African dust, yellow dust, yellow sand, yellow wind or Sahara dust storms) is an aeolian mineral dust from the Sahara desert, the largest...
the field energy (and momentum) of the electromagnetic field, Null dustsolutions: T α β {\displaystyle T^{\alpha \beta }} must correspond to a stress–energy...
only solution is to use the American nuclear monopoly while it still exists. Any other world power, such as the Eurasian Union, might create such dust and...
high-volume dust loads, a dust collector system consists of a blower, dust filter, a filter-cleaning system, and a dust receptacle or dust removal system...
under the direction of Jon Mathews. In 1969, he published an exact null dustsolution to the Einstein field equation and thereby created the photon rocket...
substances in which the identities are retained and are mixed in the form of solutions, suspensions and colloids. Mixtures are one product of mechanically blending...
littered with rocks and boulders. The dust is occasionally picked up in vast planet-wide dust storms. Mars dust is very fine, and enough remains suspended...
The interplanetary dust cloud, or zodiacal cloud (as the source of the zodiacal light), consists of cosmic dust (small particles floating in outer space)...
the Lemaître–Tolman metric, an inhomogeneous, spherically symmetric dustsolution (often called the LTB or Lemaître–Tolman–Bondi metric). Bondi also contributed...
Sawdust (or wood dust) is a by-product or waste product of woodworking operations such as sawing, sanding, milling and routing. It is composed of very...
trace. If one considers a pressure-free perfect fluid (also known as a dustsolution), the effective material Lagrangian becomes L m = − c 2 ∑ i μ i δ (...
exact solutions in general relativity which modeled the gravitational field produced by a configuration of rotating matter, the van Stockum dust, which...
\\\end{array}}\right.} This is a null dustsolution and can be interpreted as incoherent electromagnetic radiation. The exterior part of the solution is defined by { d s...
In-situ leaching (ISL), also called in-situ recovery (ISR) or solution mining, is a mining process used to recover minerals such as copper and uranium...
arise in studying the world lines of the dust particles in cosmological models which are exact dustsolutions of the Einstein field equation (provided...
nitrophenylpentadienal, NPPD, or METKA (Russian for "mark") colloquially known as "spy dust", is a chemical compound used as a tagging agent by the KGB during the Cold...
On 2 August 1947, Star Dust, a British South American Airways (BSAA) Avro Lancastrian airliner on a flight from Buenos Aires, Argentina, to Santiago, Chile...