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...ll_infinity null infinity]. Let <math>\gamma</math> be a [[null geodesic]] in a [[spacetime]] <math>(M, g_{ab})</math> from a point p to null infinity, w ...th> is the Weyl tensor, and [[abstract index notation]] is used. Moreover, in the [[Petrov classification]], <math>C^{(1)}_{abcd}</math> is type N, <math ...

{{general relativity|expanded=theorems}} ...972)"/> The theorem was described by British physicist [[David Lovelock]] in 1971. ...

...n|The scalar curvature is the only absolute invariant suitable for General Relativity}} ...]]. The theorem was proved by the German mathematician [[Hermann Vermeil]] in 1917. ...

{{short description|Theorem in general relativity}} ...tic, spherically symmetric matter configurations under certain conditions. In particular, for areal radius <math>R</math>, the mass <math>M</math> must s ...

...[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 ...

{{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|Theorem in physical cosmology}} ...330–31}}</ref> The BGV theorem is also popular outside physics, especially in religious and philosophical debates.<ref name="Cosmocurious"/><ref>{{Cite b ...

| alt = smiling mathematician Yvonne in 1974 | caption = Choquet-Bruhat in 1974 ...

In [[mathematics]] and [[theoretical physics]], '''Noether's second theorem''' :Translated in {{cite journal |last1=Noether |first1=Emmy |year=1971 |title=Invariant ...

...lain, and predict [[List of natural phenomena|natural phenomena]]. This is in contrast to [[experimental physics]], which uses experimental tools to prob ...eoretical formulation.<ref name="Ref_s">{{cite web|title = The Nobel Prize in Physics 1921|publisher =The [[Nobel Foundation]]|url = http://nobelprize.or ...

'''Lagrangian field theory''' is a formalism in [[classical field theory]]. It is the field-theoretic analogue of [[Lagrang ...learer view of the geometric structure has in turn allowed highly abstract theorems from geometry to be used to gain insight, ranging from the [[Chern–Gauss–Bo ...

{{short description|Effect of general relativity}} {{General relativity |phenomena}} ...

...s. Ungar developed his concept as a tool for the formulation of [[special relativity]] as an alternative to the use of [[Lorentz transformation]]s to represent ...pringer, Vol.74, No.1 / Dec 2004 {{doi|10.1007/BF02941530}}</ref> are also in use. ...

In [[Riemannian geometry]], '''Schur's lemma''' is a result that says, heurist ...ch that <math>\operatorname{Ric}_p = \kappa(p) g_p</math> for all <math>p \in M</math> then <math>d \kappa(p) = 0.</math> Equivalently, <math>\kappa</mat ...

...Ewald-Oseen Extinction Theorem and the Extended Boundary Condition Method, in: The World of Applied Electromagnetics| publisher=Springer|place=Cham, Swit ...rons—and using it to ''derive'' the familiar, macroscopic, laws of optics. In particular, there is a derivation of how the [[refractive index]] works and ...

...ition of identity of the gravity of the sphere and of a point mass located in the sphere's center. This theorem thus refers to the first statement of [[I ...75 | arxiv = 2102.08834 | bibcode = 2021A&A...652A..91C}}</ref> as well as in [[shell theorem]]. ...

...and the energy function depends on the position, motion, and interactions in the system: variation of the action allows the derivation of the equations Several distinct action principles differ in the constraints on their initial and final conditions. ...

...re a unifying idea in geometry since the method is used to provide metrics in [[hyperbolic geometry]], [[elliptic geometry]], and [[Euclidean geometry]]. ...ouble ratio of previously defined distances.{{sfnp|ps=|Russell|1898|p=32}} In particular, he showed that non-Euclidean geometries can be based on the Cay ...

...d|human minds]] can. Mathematician [[Roger Penrose]] modified the argument in his first book on [[consciousness]], ''[[The Emperor's New Mind]]'' (1989), ...o implicit notion of "truth"). However, Gödel's statement is actually true in the standard model of natural numbers. See {{cite book |author=Mendelson, E ...

...825-0}}</ref> including [[elliptic geometry]] and [[hyperbolic geometry]]. In the latter case, [[hyperbolic motion]]s provide an approach to the subject Some geometers define motion in such a way that only direct motions are motions{{citation needed|date=Octob ...