arXiv 0909.10742009-09-06gr-qc

Sitter粒子$^*$的守恒量

Conserved quantities for the Sitter particles$^*$

Sergio L. Cacciatori

备注：: Talk presented to the XVIII SIGRAV Conference, Cosenza (Italy), September 22-25, 2008

摘要：

最近对遥远的Ia型超新星的光度-红移关系的观测证实了宇宙加速膨胀的事实。这被解释为存在某种媒介（称为暗能量），它对普通物质施加整体排斥效应。暗能量占宇宙总能量的73%，其空间分布与完美的均匀性是相容的。对暗能量最简单的可能解释是假设它只是一个普适常数，即所谓的宇宙学常数。这意味着，一旦所有物理物质能量被理想地移除，所有自然现象的背景舞台就是德西特时空。因此，庞加莱群应该被德西特群所取代，人们自然会在这些基础上重新表述狭义相对论。没有一个特权类的等效系（惯性系）表明，在德西特相对论中，以内在的方式，即以一种独立于任何特定坐标片选择的方式，来表征重要的物理量是可取的。在这次演讲中，我们将展示如何实现这一点，对于任何一组独立的守恒量沿着自由德西特粒子的测地线运动。这些量允许一个自然的讨论经典的点状散射和衰变过程。

英文摘要：

Recent observations of the luminosity-red shift relation of distant type Ia supernovae established the fact that the expansion of the universe is accelerated. This is interpreted by saying that there exists some kind of agent (called dark energy), which exerts an overall repulsive effect on ordinary matter. Dark energy contributes today in the amount of about 73 % to the total energy content of the universe, and its spatial distribution is compatible with perfect uniformity. The simplest possible explanation for dark energy is to assume that it is just a universal constant, the so called cosmological constant. This would mean that the background arena for all natural phenomena, once all physical matter-energy has been ideally removed, is the de Sitter space time. Thus, the Poincaré group should be replaced by the de Sitter group, and one is naturally led to a reformulation of the theory of special relativity on these grounds. The absence of a privileged class of equivalent frames (inertial frames) suggests that, in de Sitter relativity it would be desirable, to characterize significant physical quantities in an intrinsic way, namely in a manner independent of the choice of any particular coordinate patch. In this talk we would like to show how this can be accomplished for any set of independent conserved quantities along the geodesic motion of a free de Sitter particle. These quantities allow for a natural discussion of classical pointlike scattering and decay processes.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文