为什么嵌入不可压缩超致密核物质的时空是共形平坦的?
Why the spacetime embedding incompressible supradense nuclear matter is conformally flat?
摘要:
GW 170817合并事件的多信使观测并不排除残余物可能是具有$\mathcal{M}_{rm}\geq 2.69 \,\mathcal{M}_{\odot}.$的动态稳定中子星的可能性。基于这一事件和最近的其他事件,我认为应该恢复普遍最大密度假设。因此,超致密天体核心的中心密度必须以临界密度数$n_{cr},$为上限,超过这个密度数,超致密核物质就变得完全不可压缩。基于广义相对论中的时空-物质耦合,证明了嵌入有$n =n_{cr}$的不可压缩量子流体的时空拓扑必须是Minkowski平坦的,这意味着超紧致物体背景下的时空应该是双度规型的.
英文摘要:
The multi-messenger observations of the merger event in GW170817 did not rule out the possibility that the remnant might be a dynamically stable neutron star with $\mathcal{M}_{rm}\geq 2.69 \,\mathcal{M}_{\odot}.$ Based on this and other recent events, I argue that the universal maximum density hypothesis should be revived. Accordingly, the central densities in the cores of ultra-compact objects must be upper-limited by the critical density number $n_{cr},$ beyond which supradense nuclear matter becomes purely incompressible. Based on the spacetime-matter coupling in GR, it is shown that the topology of spacetime embedding incompressible quantum fluids with $n =n_{cr}$ must be Minkowski flat, which implies that spacetime at the background of ultra-compact objects should be of bimetric type.
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