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arXiv 1903.04744gr-qchep-th
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球对称引力坍缩的自洽描述

Self-consistent description of a spherically-symmetric gravitational collapse

Daniel Terno

摘要:

在球对称中,视视界附近的总能量-动量张量可以从两个假设中确定为时间的单一函数:一个捕获区域在远处观察者的有限时间形成,两个曲率标量的值在其边界是有限的。在广义相对论中,这种能量-动量张量导致了度规的唯一极限形式。零能量条件在整个视视界上被违反,在内视视界附近被满足。因此,同质坍缩模型无法描述黑洞的形成。物质的性质在俘获区形成后立即发生不连续的变化。同动密度、压力和通量的绝对值在视层位上是一致的。因此,理想流体的坍缩不能导致黑洞的形成。此外,这三个量在扩展的视视界上发散,产生一个规则的(即,有限曲率)防火墙。这种防火墙与量子能量不等式不相容,这意味着被困区域一旦在某个有限时间形成,就不能增长。

英文摘要:

In spherical symmetry, the total energy-momentum tensor near the apparent horizon is identified up to a single function of time from two assumptions: a trapped region forms at a finite time of a distant observer, and values of two curvature scalars are finite at its boundary. In general relativity, this energy-momentum tensor leads to the unique limiting form of the metric. The null energy condition is violated across the apparent horizon and is satisfied in the vicinity of the inner apparent horizon. As a result, homogenous collapse models cannot describe the formation of a black hole. Properties of matter change discontinuously immediately after formation of a trapped region. Absolute values of comoving density, pressure, and flux coincide at the apparent horizon. Thus, collapse of ideal fluids cannot lead to the formation of black holes. Moreover, these three quantities diverge at the expanding apparent horizon, producing a regular (i.e., finite curvature) firewall. This firewall is incompatible with quantum energy inequalities, implying that trapped regions, once formed at some finite time of a distant observer, cannot grow.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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