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...quation used to find exact solutions of equations in the general theory of relativity}} ...tp://mypages.iit.edu/~segre/iit_physics_bios/ernst_f.html |title=Biography of Frederick J. Ernst |access-date=2017-05-09 |archive-url=https://web.archive ...

...n event in relativity.png|thumb|right|An event in spacetime and a 2D slice of its causal cone.]] {{General relativity sidebar}} ...

{{distinguish|Lovelock theory of gravity}} {{general relativity|expanded=theorems}} ...

{{Short description|Concept in general relativity}} ...class of vacuum solutions of the Einstein field equations|journal=General Relativity and Gravitation|volume=41|issue=10|pages=2485–2499|doi=10.1007/s10714-009-0 ...

...variantly, that is, according to a [[Group representation|representation]] of the covariance group. ...al frame of reference|inertial frames]], and the covariance group consists of [[Rotation group SO(3)|rotations]], [[Lorentz transformation|velocity boost ...

In [[mathematics]], the '''AKNS system''' is an [[integrable system]] of [[partial differential equations]], introduced by and named after [[Mark J. ...ferential equation]]s for two [[complex-valued function]]s ''p'' and ''q'' of 2 variables ''t'' and ''x'': ...

...al [[symmetry group]] preserving relativity without assuming the constancy of ''c''. ...for a non-invariant ''c''. According to [[Maxwell's equations]], the speed of light satisfies ...

{{Short description|General relativity in 2+1 dimensions}} ...ntum field theory|topological theory]] with no gravitational local degrees of freedom. ...

{{Short description|Locally defined function in general relativity}} ...<math>x</math> belongs to a convex [[normal neighborhood]] <math>U</math> of <math>x, x'</math> (referred to the [[Levi-Civita connection]] associated t ...

...n|The scalar curvature is the only absolute invariant suitable for General Relativity}} ...of prescribed type suitable for [[Albert Einstein]]’s theory of [[General Relativity]]. The theorem was proved by the German mathematician [[Hermann Vermeil]] i ...

...fore, it is called the '''relativistic system'''. In particular, [[Special Relativity]] on the [[Minkowski space]] <math>Q= \mathbb R^4</math> is of this type. ...

{{general relativity|solutions}} ...tatinal field for an arbitrary charge-distribution |journal= [[Proceedings of the Royal Irish Academy]]. Section A: Mathematical and Physical Sciences|vo ...

...otion in general relativity}}{{More sources|date=September 2024}}{{general relativity sidebar}} ...e limit where the velocities of the bodies are small compared to the speed of light and where the gravitational fields affecting them are correspondingly ...

...árus Throlacius | date = 15 Oct 1992 | title = The Endpoint of Hawking Evaporation ...hey contribute an anomaly of -24. Each matter field contributes an anomaly of 1. So, unless N=24, we will have [[gravitational anomaly|gravitational anom ...

...mechanics]], [[superconductivity]], and his details on his own [[theory of relativity]]. == Special relativity == ...

...ac |first1=P. A. M. |title=Forms of Relativistic Dynamics |journal=Reviews of Modern Physics |date=1 July 1949 |volume=21 |issue=392 |pages=392–399 |doi= ...ith the plane of [[split-complex number]]s which is acted upon by elements of the [[unit hyperbola]] to effect Lorentz boosts. This number plane has axes ...

In [[general relativity]] and [[tensor calculus]], the '''contracted Bianchi identities''' are:<ref ...ted [[Bianchi identity]] ensures consistency with the vanishing divergence of the matter [[stress–energy tensor]]. ...

{{Short description|Approximation technique in general relativity}} ...ein's equations]] by means of a [[Taylor series|power series development]] of the [[metric tensor]]. ...

...rential geometry]] approaches like that of the related [[gauge gravitation theory]]. ...field equations. These principles lead to the introduction of a new pair of linear functions, the position-gauge field and the rotation-gauge field. A ...

{{Short description|Toy model of general relativity}} ....1005C | s2cid = 5840401 }}</ref> in short is a [[toy model]] of [[general relativity]] in 1 spatial and 1 time dimension. ...