论文标题
以chaplygin-gas为主的宇宙的无剪切条件
Shear-free conditions of a Chaplygin-Gas-dominated universe
论文作者
论文摘要
在这项工作中，我们重新审视了一般相对性的无剪切猜想，并表明了违反了众所周知的无剪切条件，以实现完美富流通的空间。在先前的研究中已经表明，在一般的相对论框架中，无剪切完美的完美流体空间的物质一致性应无膨胀或无旋转。然而，我们目前的研究表明，以chaplygin气体为主的宇宙可以同时膨胀和旋转流体，只要我们在下面得出并描述了某些非平凡条件。我们还表明，在适当的限制情况下，我们的结果减少到只能扩展或旋转但不能同时旋转但不能同时旋转的灰尘空间的预期结果。
In this work, we revisit the shear-free conjecture of general relativity and show the violation of the well-known shear-free condition for perfect-fluid spacetimes. It had been shown in previous investigations that, in the general relativistic framework, the matter congruences of shear-free perfect fluid spacetimes should be either expansion-free or rotation-free. Our current investigation, however, indicates that a universe dominated by a Chaplygin gas can allow a simultaneous expansion and rotation of the fluid provided that certain non-trivial conditions, which we derive and describe below, are met. We also show that, in the appropriate limiting cases, our results reduce to the expected results of dust spacetimes which can only expand or rotate, but not both, at the same time.
