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...g the flow lines of <math>X</math>, this being true for any two observers. In connection with this, it may be shown that every [[Killing vector field]] i [[Category:Mathematical methods in general relativity]] ...

{{Short description|Locally defined function in general relativity}} ...ath>\gamma(\lambda)</math> from <math>x</math> to <math>x'</math> included in <math>U</math>, up to the affine parameter <math>\lambda</math>. Suppose <m ...

...s. However, it is often useful to fix upon a particular coordinate system, in order to solve actual problems or make actual predictions. A coordinate co ==Indeterminacy in general relativity== ...

{{Short description|Approximation technique in general relativity}} ...ns''' ('''PM''') or '''post-Minkowskian approximations''' are mathematical methods used to find approximate solutions of [[Einstein's equations]] by means of ...

...es for much of this material. I can find no source that shows this term is in use, so you must provide them.|u=Scarlata Ginestà|ns=118|decliner=StarryGra {{Short description|Mathematical notation}} ...

...t description|Boundary region of asymptotically flat spacetimes in general relativity}} ...an M. |date=2019 |title=Spacetime and Geometry: An Introduction to General Relativity |url=https://www.cambridge.org/highereducation/books/spacetime-and-geometry ...

{{Short description|Model compatible with special relativity}} ...must also be [[Lyapunov stability|stable]], in the sense that differences in temperature propagate both slower than light and are damped over time (this ...

...[spacetime]]. The solution was first fully obtained by [[George McVittie]] in the 1930s, while investigating the effect of the, then recently discovered, ...c solution to the [[Einstein field equations|field equations ]] of General Relativity with a [[Cosmological constant|cosmological constant term]], the [[De Sitte ...

...he [[Newman–Penrose formalism|Newman–Penrose (NP) formalism]] of [[general relativity]] normally begin with the '''construction of a complex null tetrad''' <math ...> and other quantities in NP formalism. There are three most commonly used methods to construct a complex null tetrad: ...

...thermodynamics and statistical mechanics; electromagnetism and photonics; relativity; quantum mechanics, atomic physics, and molecular physics; optics and acous ...an2018: String Theory=This is a theory that combines the theory of general relativity and quantum mechanics. This theory can predict any particle, small or large ...

In [[mathematics]] and [[mathematical physics]], a '''coordinate basis''' or '''holonomic basis''' for a [[differ ...|author2=G. P. Efstathiou |author3=A. N. Lasenby |year=2006 |title=General Relativity: An Introduction for Physicists |publisher=[[Cambridge University Press]] | ...

{{Short description|Mathematical transformation in physics}} ...5|publisher=Penguin Books Limited|isbn=978-1-84614-702-9|chapter=3}}</ref> In mathematics, the set of all time translations on a given system form a [[Li ...

{{Short description|Black hole solution in 2+1 dimensional topological gravity}} ...s2cid=231632352 }}</ref> But thanks to the negative cosmological constant in the BTZ black hole, it is able to have remarkably similar properties to the ...

In [[quantum field theory]], '''gauge gravitation theory''' is the effort to e ...[gauge theory gravity]], which is a formulation of (classical) gravitation in the language of [[geometric algebra]]. Nor should it be confused with [[Kal ...

{{Short description|Asymptotic symmetry group of General Relativity}} ...aper I regard as the best scientific work I have ever done, which is later in life than mathematicians supposedly peak.}}</ref>{{rp|79}} The group of sup ...

{{Short description|Special relativity formed using the SO(4,1) symmetry group}} ...SO(4,1), that of [[de Sitter space]]. In the standard theory of [[general relativity]], de Sitter space is a highly symmetrical special [[vacuum solution]], whi ...

...is a mathematical method for approximate analysis of oscillating processes in non-linear mechanics.<ref>[https://encyclopediaofmath.org/wiki/Krylov-Bogol ...ance of the contribution of Krylov and Bogoliubov is that they developed a general averaging approach and proved that the solution of the averaged system appr ...

...ution of thought about the nature of [[force]]s, [[Principle of relativity|relativity]], and the nature of [[physical law]]s. ...r. In the first case a mathematical formulation mirrors centrifugal force; in the second it creates it.<ref> ...

...mholes have never been observed, but they are predicted to exist through [[mathematical model]]s and [[scientific theory]].]] ...lain, and predict [[List of natural phenomena|natural phenomena]]. This is in contrast to [[experimental physics]], which uses experimental tools to prob ...

...(large circumference). The inner sphere represents large distance events. In the figure, a small proton created ...the proton size shrinks near the AdS boundary as perceived by an observer in [[Minkowski space]].]] ...