Search results

This is a list of well-known [[spacetime]]s in [[general relativity]].<ref name="catalogue">{{cite arXiv |last1=Muel In general relativity, spacetime is described mathematically by a metric tensor (on a [[smooth manifold]]), ...

...spacetime [[supersymmetry]]. It is derived by requiring the 4-dimensional spacetime to be maximally symmetric, and adding a warp factor on the internal 6-dimen # The 4-dimensional spacetime is [[Minkowski space|Minkowski]], i.e., <math>g=\eta</math>. ...

...' or '''Minkowski [[superspace]]''' is a [[supersymmetric]] extension of [[Minkowski space]], sometimes used as the base [[manifold]] (or rather, [[supermanifol Abstractly, super Minkowski space is the space of (right) [[cosets]] within the [[Super Poincaré algebr ...

...rentzian metric]] <math>g </math>. Let <math>x, x'</math> be two points in spacetime, and suppose <math>x</math> belongs to a convex [[normal neighborhood]] <ma ...Minkowski spacetime]], the Synge's world function simplifies to half the [[spacetime interval]] between the two points: it is globally defined and it takes the ...

...ications in Mathematical Physics |chapter=Gravity as a Gauge Theory in the Spacetime Algebra |editor1=F. Brackx |editor2=R. Delanghe |editor3=H. Serras|date=199 ...e but rather merely give the evolution of the gauge fields within the flat spacetime. ...

...to General Relativity |url=https://www.cambridge.org/highereducation/books/spacetime-and-geometry/38EDABF9E2BADCE6FBCF2B22DC12BFFE |access-date=2023-05-08 |publ ...zing global descriptions of general relativity, analyzing the structure of spacetime as a whole.<ref name=":5">{{Cite journal |last1=Misner |first1=C. W. |autho ...

where the addition is in [[Minkowski sum|the sense of Minkowski]]. [[Category:Minkowski spacetime]] ...

...le:Minkowski2.png|thumb|right|300px|Light cone and conjugate hyperbolas in Minkowski (1908)]] ...i space]].<ref>{{citation|last=Minkowski|first=Hermann|author-link=Hermann Minkowski|year=1907–1908|title=Die Grundgleichungen für die elektromagnetischen Vorgä ...

...his allows for the inclusion of imaginary components in the description of spacetime, which can have interesting implications in certain areas of physics, such ...acetime ''geometry''''' refers to the [[metric tensor]] being complex, not spacetime itself. ...

...heory on flat spacetime <math>\mathbb{R}^{1,3}</math>, commonly known as [[Minkowski space]]. ...bundle|trivialization]] (which can be made due to the theory being on flat spacetime). ...

...purposes of analytic geometry. A prominent instance is the depiction of [[spacetime]] as a [[pseudo-Euclidean space]]. There the asymptotes of the unit hyperbo ==Minkowski diagram== ...

...stulate by deduction. Others differ in their approach to the geometry of [[spacetime]] and the [[linear transformation]]s between [[frames of reference]]. ...ng local measurements.<ref>{{cite book |title=Relativity and the Nature of Spacetime |edition=illustrated |first1=Vesselin |last1=Petkov |publisher=Springer Sci ...

...on will have corresponding space or time symmetries. Examples of important spacetime symmetries are &mdash; ...[irreducible representation]]s of the symmetries &mdash; both internal and spacetime. ...

...itten theory]]. All three theories are based in <math>d = 4</math> [[super Minkowski space]]s. ==== Spacetime and matter content ==== ...

.....62..335D |s2cid=|access-date=}}</ref> The only consistent extension to [[spacetime]]s with a [[cosmological constant]] is to [[anti-de Sitter space]], first f == Flat spacetime == ...

{{main|Quantum field theory in curved spacetime}} ...the [[Dirac equation]] from flat spacetime ([[Minkowski space]]) to curved spacetime, a general [[Lorentzian manifold]]. ...

=== Spacetime and field content === The most common setting is on four-dimensional, flat spacetime ([[Minkowski space]]). ...

...al]] to those of the general relativistic [[graviton]] in higher (''D''>4) spacetime dimensions. Or at least this holds for the linearized theory.<ref>{{Cite j In four [[spacetime]] [[dimension]]s, the field is not dual to the graviton, if massless, but i ...

...t of '''quantum spacetime''' is a generalization of the usual concept of [[spacetime]] in which some variables that ordinarily [[Commutative property|commute]] ...that electrons in a magnetic field can be regarded as moving in a quantum spacetime, and to [[Robert Oppenheimer]], who carried it to [[Hartland Snyder]], who ...

...[[theory of relativity]] and its graphical representation using special [[Minkowski diagram]]s, [[radioactivity]], [[kinetic theory of gases]], [[electron]] th == Minkowski diagram == ...