Homi Bhabha National Institute, Mumbai, India.
Sci Rep. 2012;2:923. doi: 10.1038/srep00923. Epub 2012 Dec 4.
The de-Sitter metric is a special form of the non-static Friedmann metric, and appears to be genuinely non-static since it describes the initial exponential expansion of the Big Bang universe. However, the de Sitter metric appears to be perfectly static in the Schwarzschild frame where the vacuum fluid is supposed to be in motion. Here we highlight the conflicts between the static and non-static versions of the de-Sitter metric from a physical perspective. In particular, while the "Principle of Energy Conservation" is honored in one case, the same is badly violated for the other. However, we offer a partial resolution of such conflicts by deriving the static de Sitter metric by solving the relevant field equations. It is seen that, it is the very special vacuum equation of state pressure = -density which results in the static form even when the vacuum fluid is supposed to be in motion.
德西特度规是静态弗里德曼度规的一种特殊形式,由于它描述了大爆炸宇宙的初始指数膨胀,因此似乎确实是非静态的。然而,在 Schwarzschild 框架中,真空流体被认为在运动,德西特度规似乎是完美静态的。在这里,我们从物理角度强调了静态和非静态德西特度规版本之间的冲突。特别是,在一种情况下,“能量守恒原理”得到了尊重,而在另一种情况下则严重违反了该原理。然而,我们通过求解相关的场方程来推导出静态德西特度规,从而部分解决了这些冲突。可以看出,正是真空状态方程压力=-密度非常特殊,导致即使真空流体被认为在运动,也会呈现出静态形式。