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A Lorentzian manifold in Minkowski space which is the analogue of the sphere in ordinary Euclidean space . (noun) Named after Willem de Sitter (1872–1934), professor of astronomy. Noun . de Sitter space (plural de Sitter spaces) A Lorentzian manifold in Minkowski space which is the analogue of the sphere in ordinary Euclidean space. This relation allows us to explain the observable effect of the negative mass-square differences for neutrinos by applying de Sitter group for space-time symmetry in the interaction vertex and calculating particles masses as the eigenvalues of the Casimir operator in de Sitter space [52]. De Sitter space can also be defined as the quotient O(1, n) / O(1, n − 1) of two indefinite orthogonal groups, which shows that it is a non-Riemannian symmetric space. Topologically, de Sitter space is R × S n−1 (so that if n ≥ 3 then de Sitter space is simply connected).

In fact, no matter what generator we pick for SO(1;n), the corresponding Killing vector eld, though perhaps timelike in some region of de Sitter space, is spacelike in some other region. For example, a typical Lorentz generator in de Sitter space is K = x1 @ @x0 +x0 @ @x1: (3) de Sitter space and anti-de Sitter space are named after Willem de Sitter (1872–1934), professor of astronomy at Leiden University and director of the Leiden Observatory. Willem de Sitter and Albert Einstein worked closely together in Leiden in the 1920s on the spacetime structure of our universe. de Sitter space was also discovered, independently, and about the same time, by Tullio Levi de Sitter space is the subset deS = fhx;xi= a2 jx 2M5g: There is an isometric copy H4 q of hyperbolic space with x 0 <0. The induced metric on hyperbolic space is Riemannian and on de Sitter space is Lorentzian. Thus de Sitter space is a space-time. It is a solution of Einstein’s equations with positive cosmological constant = 3=a2 and no matter.

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It is a solution of the vacuum Einstein equations with a positive cosmological De Sitter space. From Encyclopedia of Mathematics. Jump to: navigation , search. complete space-like submanifolds in a.

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This is known as de Sitter space dSn. To obtain anti-de Sitter space we change the rules yet again. Anti-de Sitter space adSn is deﬁned as the quadric X 2 1 + +Xn−1 − U 2 −V2 = −1 (7) embedded in a ﬂat n+1 dimensional space with the metric ds 2= dX 1 + +dX 2 n−1 −dU 2 − dV .

Andrei Linde searching for De Sitter space 27 found (95 total) alternate case: de Sitter space. Steven Gubser (577 words) case mismatch in snippet view article find links to article and is commonly known, along with Edward Witten's 1998 work Anti De Sitter Space And Holography, as the GKPW dictionary.
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Geodesic Motion in Kerr-De Sitter Space-: Poudel Purna Chandra: Amazon.se: Books. we explore compactifications with anti-de Sitter as external space. We argue that truncations to closed-string-sector excitations of non-supersymmetric theories We consider a de Sitter space with real projective space RP3 spatial sections, as was originally understood by de Sitter himself. This original version of de Sitter "De Sitter Space" · Book (Bog). .

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c c. In particular, this bound forbids dS vacua.

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It was a Citation. Ng, Gim Seng. 2014. Aspects of Symmetry in de Sitter Space.