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Guo, HY; Huang, CG; Tian, Y; Xu, Z; Zhou, B; Guo, HY , Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China.
Beltrami-de Sitter spacetime and de Sitter invariant special relativity
Source PublicationACTA PHYSICA SINICA
KeywordGravitational Waves General Relativity
AbstractThe puzzle on the relation between principle of special relativity and cosmological principle, as well as the Beltrami-de Sitter-Lu puzzle on de Sitter/anti-de Sitter spacetimes in Einstein's framework of relativity are analyzed. It is possible to generalize the principle of special relativity to the spacetimes with constant curvature and to establish the kinematics and particle dynamics for the special relativity in de Sitter/anti-de Sitter spacetimes with Beltrami metric. In such a Beltrami system by the Beltrami coordinate simultaneity is just an inertial system, the corresponding ob servers are inertial observers, the inertial law is valid for test particles and light signals, and observables can be well defined which conserve and satisfy the generalized Einstein's formula. In addition to the Beltrami coordinate simultaneity there is also the proper-time simultaneity for the comoving observations and thus the Beltrami metric is transformed into the Robertson-Walker-like metric which give's a closed 3-dimensional space and its deviation from flatness is of the order of cosmological constant. Therefore, it turns out that in such a kind of special relativity the relativity principle has an intrinsic affiliation with the "perfect" cosmological principle and without any puzzle. Furthermore, based on the recent astronomical observations, the Mach's principle is restated and it is showed that the cosmological constant acts just as an origin of inertial motions in the de Sitter-invariant special relativity on Beltrami-de Sitter spacetime.
2005
ISSN1000-3290
Volume54Issue:6Pages:2494-2504
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13802
CollectionSCI期刊论文
Corresponding AuthorGuo, HY , Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China.
Recommended Citation
GB/T 7714
Guo, HY,Huang, CG,Tian, Y,et al. Beltrami-de Sitter spacetime and de Sitter invariant special relativity[J]. ACTA PHYSICA SINICA,2005,54(6):2494-2504.
APA Guo, HY,Huang, CG,Tian, Y,Xu, Z,Zhou, B,&Guo, HY , Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China..(2005).Beltrami-de Sitter spacetime and de Sitter invariant special relativity.ACTA PHYSICA SINICA,54(6),2494-2504.
MLA Guo, HY,et al."Beltrami-de Sitter spacetime and de Sitter invariant special relativity".ACTA PHYSICA SINICA 54.6(2005):2494-2504.
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