Brown-york mass and the Thorne hoop conjecture.
Brown-york mass and the Thorne hoop conjecture.
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DOI：
10.1103/physrevlett.104.041101
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发表时间：
2009-12
影响因子：
8.6
通讯作者：
N. Murchadha;R. Tung;Naqing Xie;E. Malec
中科院分区：
文献类型：
--
作者：
N. Murchadha;R. Tung;Naqing Xie;E. Malec
索恩环猜想是为了使引力崩塌的概念更加精确，即如果足够的能量被压缩成足够小的体积，那么引力崩塌就会发生，“大小”由周长定义。我们可以用布朗-约克质量作为能量的量度，在球对称的情况下，对这种形式作出精确的表述。考虑球对称时空中的球面两面。如果布朗-约克质量M{by}和周长C满足C<；2piM{by}，则系统要么从白洞中出来，要么会崩塌成黑洞。我们证明，无论是使用刘佑质量M{LY}还是使用Wang-Yau质量M{WY}，没有一个等价的结果是成立的。这对在一般情况下建立基于刘佑或王佑质量的索恩型环状定理的任何尝试形成了主要的障碍。
The Thorne hoop conjecture is an attempt to make precise the notion that gravitational collapse occurs if enough energy is compressed into a small enough volume, with the "size" being defined by the circumference. We can make a precise statement of this form, in spherical symmetry, using the Brown-York mass as our measure of the energy. Consider a spherical 2-surface in a spherically symmetric spacetime. If the Brown-York mass M{BY} and the circumference C satisfy C<2piM{BY}, then the system must either have emerged from a white hole or will collapse into a black hole. We show that no equivalent result can hold true using either the Liu-Yau mass M{LY} or the Wang-Yau mass M{WY}. This forms a major obstacle to any attempt to establish a Thorne-type hoop theorem in the general case based on either the Liu-Yau or the Wang-Yau mass.