论文标题
缺乏纯重度的协变量奇异点
Absence of covariant singularities in pure gravity
论文作者
论文摘要
霍金 - 普通奇异定理的假设在现场重新定义下不是协变量。因此，我们建议研究田间空间中的奇异性，在该空间中，时空度量与其他任何场合一起被视为坐标。我们表明，DeWitt场空间度量标准的特定选择的场空间Kretschmann标量无处不在。这一事实可以解释为一种迹象表明，对于任何引力作用，实际上都不存在纯粹的重力。特别是，所有相对性的真空奇异性是由于场变量的不满意而导致的。按照奇异定理要求，存在物质领域的案例的扩展是供将来的发展。
The assumptions of the Hawking-Penrose singularity theorem are not covariant under field redefinitions. Thus we propose to study singularities in field space, where the spacetime metric is treated as a coordinate along with any other fields. We show that the field-space Kretschmann scalar for a certain choice of the DeWitt field-space metric is everywhere finite. This fact could be interpreted as an indication that no singularities actually exist in pure gravity for any gravitational action. In particular, all vacuum singularities of General Relativity result from an unhappy choice of field variables. The extension to the case in which matter fields are present, as required by singularity theorems, is left for future development.
