Hertog Thomas, Horowitz Gary T, Maeda Kengo
Department of Physics, UCSB, Santa Barbara, California 93106, USA.
Phys Rev Lett. 2004 Apr 2;92(13):131101. doi: 10.1103/PhysRevLett.92.131101. Epub 2004 Mar 30.
We consider (four-dimensional) gravity coupled to a scalar field with potential V(phi). The potential satisfies the positive energy theorem for solutions that asymptotically tend to a negative local minimum. We show that for a large class of such potentials, there is an open set of smooth initial data that evolve to naked singularities. Hence cosmic censorship does not hold for certain reasonable matter theories in asymptotically anti-de Sitter spacetimes. The asymptotically flat case is more subtle. We suspect that potentials with a local Minkowski minimum may similarly lead to violations of cosmic censorship in asymptotically flat spacetimes, but we do not have definite results.
我们考虑（四维）引力与具有势(V(\phi))的标量场耦合。对于渐近趋于负局部极小值的解，该势满足正能量定理。我们表明，对于一大类这样的势，存在一个光滑初始数据的开集，其演化成裸奇点。因此，在渐近反德西特时空中，对于某些合理的物质理论，宇宙监督假设不成立。渐近平坦情形更为微妙。我们怀疑在局部闵可夫斯基极小值处的势可能类似地导致渐近平坦时空中宇宙监督假设的违反，但我们没有确定的结果。
