Chen Che-Yu, Bouhmadi-López Mariam, Chen Pisin
1Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617 Taiwan.
2LeCosPA, National Taiwan University, Taipei, 10617 Taiwan.
Eur Phys J C Part Fields. 2018;78(1):59. doi: 10.1140/epjc/s10052-018-5556-z. Epub 2018 Jan 23.
The vacuum, static, and spherically symmetric solutions in the mimetic Born-Infeld gravity are studied. The mimetic Born-Infeld gravity is a reformulation of the Eddington-inspired-Born-Infeld (EiBI) model under the mimetic approach. Due to the mimetic field, the theory contains non-trivial vacuum solutions different from those in Einstein gravity. We find that with the existence of the mimetic field, the spacelike singularity inside a Schwarzschild black hole could be altered to a lightlike singularity, even though the curvature invariants still diverge at the singularity. Furthermore, in this case, the maximal proper time for a timelike radially-infalling observer to reach the singularity is found to be infinite.
研究了模拟Born-Infeld引力中的真空、静态和球对称解。模拟Born-Infeld引力是在模拟方法下对Eddington启发的Born-Infeld（EiBI）模型的一种重新表述。由于模拟场的存在，该理论包含与爱因斯坦引力中不同的非平凡真空解。我们发现，在模拟场存在的情况下，史瓦西黑洞内部的类空奇点可以转变为类光奇点，尽管曲率不变量在奇点处仍然发散。此外，在这种情况下，一个类时径向下落观察者到达奇点的最大固有时被发现是无穷大的。
