絕對平行彭卡瑞宇宙

Abstract

我們限制彭卡瑞規範重力理論中的撓率張量的形式以符合絕對平行 化的條件來描述重力的動力學效應。在物質自旋可忽略的狀況下，絕 對平行化的彭卡瑞宇宙會與廣義相對論推導出的弗里德曼宇宙完全等 價。在此架構下，撓率純量可取代宇宙常數，驅動宇宙的加速膨脹。 當考慮自旋流體時，真空的自旋亦可做為宇宙加速膨脹的可能源頭。 此外，我們利用由史瓦希-德西特度規所推導出的二個靜態球對稱近似 解，來檢驗絕對平行化彭卡瑞規範重力理論的有效性。

We apply the teleparallelism condition to the Poincaré gauge theory of gravity (PGT) and constrain the form of torsion tensor. The resultant teleparallelized cosmology is completely equivalent to the spinless Friedmann cosmology derived from Einstein’s general theory of relativity. It turns out that, in terms of the cosmic expansion, the effect of torsion is equivalent to that of the cosmological constant. We then extend such theory to include the spin of matter and explore the possibility of accounting for the current accelerating universe by a spinning dark energy. Finally, we confirm the validity of the teleparallelized PGT scheme in a spherical symmetric setting using two examples derived from the Schwarzchild-de Sitter metric.