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MTd2
Gold Member
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Does anyone know?
marcus said:http://arxiv.org/abs/0909.5435
de Sitter Spaces
Andrew Randono
(Submitted on 29 Sep 2009)
"We exploit an interpretation of gravity as the symmetry broken phase of a de Sitter gauge theory to construct new solutions to the first order field equations. The new solutions are constructed by performing large Spin(4,1) gauge transformations on the ordinary de Sitter solution and extracting first the tetrad, then the induced metric. The class of metrics so obtained is an infinite class labelled by an integer, q. Each solution satisfies the local field equations defining constant positive curvature, and is therefore locally isometric to de Sitter space wherever the metric is non-degenerate. The degeneracy structure of the tetrad and metric reflects the topological differences among the solutions with different q. By topological arguments we show that the solutions are physically distinct with respect to the symmetries of Einstein-Cartan theory. Ultimately, the existence of solutions of this type may be a distinguishing characteristic of gravity as a metric theory versus gravity as a gauge theory."
MTd2 said:Pereira is Brazilian! Wow, nice. I don`t know why, but I assumed he was Portuguese...
MTd2 said:Lol, I slept really bad today. I am understanding everything upside down. I live 480km from São Paulo, in Rio de Janeiro.
http://maps.google.com/?ie=UTF8&ll=-22.492257,-44.939575&spn=2.821634,3.532104&t=h&z=8
The de Sitter relativity theory is a mathematical framework proposed by Dutch physicist Willem de Sitter in 1917 to describe the universe in the absence of matter. It is based on the concept of a four-dimensional spacetime with a constant positive curvature, where the laws of physics are the same for all observers regardless of their motion.
The Local Group of Galaxies (LGC) is a small cluster of about 50 galaxies, including the Milky Way and the Andromeda galaxy, that are gravitationally bound to each other. It is located in the Virgo Supercluster, a larger structure in which our galaxy is a part of.
Yes, there is a relation between de Sitter relativity and the LGC. The de Sitter universe, which is described by the de Sitter relativity theory, is one of the possible solutions to the equations of general relativity that could explain the observed expansion of the Local Group of Galaxies.
De Sitter relativity explains the expansion of the LGC by considering the cosmological constant, a term in the equations of general relativity that represents the energy density of empty space. In the de Sitter universe, this constant is non-zero and causes the universe to expand at an accelerating rate, which is consistent with the observed expansion of the LGC.
Yes, there is experimental evidence supporting the relation between de Sitter relativity and the LGC. Observations of distant supernovae, along with other cosmological data, have provided strong evidence for the accelerating expansion of the universe, which is a prediction of the de Sitter universe. Additionally, the Large Hadron Collider has also confirmed the existence of the Higgs field, which could be linked to the cosmological constant in the de Sitter universe.