A positive cosmological constant as a geometrical artifact

被引：0
|
作者：
Apostolopoulos, Pantelis S. [1 ]
Tsipogiannis, Christos [1 ]
机构：
[1] Ionian Univ, Dept Environm, Math Phys & Computat Stat Res Lab, Panagoula 29100, Island of Zakyn, Greece
来源：
MODERN PHYSICS LETTERS A | 2023年 / 38卷 / 01期
关键词：
Homothety; self-similarity; Kaluza-Klein compactification; conformal symmetries; SIMILAR BIANCHI MODELS; SIMILARITY; SYMMETRIES; DIMENSIONS; HIERARCHY;
D O I：
10.1142/S0217732323500025
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper, we revisit the classical mechanism to produce d-dimensional spacetimes via Kaluza-Klein compactification. We made the assumption that the (d + 1)-dimensional bulk geometry M admits a Homothetic Vector Field (HVF) H relaxing the existence of a zero i.e. H ? 0 holds on M and the homothetic bivector F-ab(H) = 0. Under these circumstances, we identify the origin of a positive cosmological constant in the d-dimensional spacetime as the homothetic factor representing a geometrical artifact of late time state of the (d + 1)-dimensional bulk spacetime.
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