论文标题
使用重力波信息确定宇宙常数
Determining Cosmological Constant Using Gravitational Wave Information
论文作者
论文摘要
在爱因斯坦的重力中表明，宇宙常数lambda将重力质量m引入理论中，这将源自带有lambda的kottler-schwarzschild质量的粒子，从regge-wheeler-zerilli问题中得出。 M的值恰恰是在Lambda上出现的Spin-2仪表线与Spin-2的M2相图，这是Deser＆Waldron引入的部分无质量仪表线，并被描述为Higuchi结合。请注意，该重力仅具有四个极化的自由度（Helicities Plus＆Minus 2和1，但不是0，因为标量表对称性将其删除）。得出的结论是，爱因斯坦重力（带有兰伯达）是一种部分无质量的重力理论，由于标量规对称性，它失去了其螺旋性0。这对重力波天线构成了挑战，即他们是否可以测量该规格对称性的损失。同样，鉴于最新的结果测量了Ligo-Virgo数据的Hubble常数HO，然后证明可以从Graviton质量M和HO的LIGO结果中确定lambda。这是在天体物理学和宇宙学中确定三个参数lambda，m和HO的另一个多通信源，在HO测量中存在很大差异。
It is shown in Einstein gravity that the cosmological constant Lambda introduces a graviton mass m into the theory, a result that will be derived from the Regge-Wheeler-Zerilli problem for a particle falling onto a Kottler-Schwarzschild mass with Lambda. The value of m is precisely the Spin-2 gauge line appearing on the Lambda versus m2 phase diagram for Spin-2, the partially massless gauge lines introduced by Deser & Waldron and described as the Higuchi bound. Note that this graviton is unitary with only four polarization degrees of freedom (helicities plus & minus 2 and 1, but not 0 because a scalar gauge symmetry removes it). The conclusion is drawn that Einstein gravity (with Lambda) is a partially massless gravitation theory which has lost its helicity 0 due to a scalar gauge symmetry. That poses a challenge for gravitational wave antennas as to whether they can measure the loss of this gauge symmetry. Also, given the recent results measuring the Hubble constant Ho from LIGO-Virgo data, it is then shown that Lambda can be determined from the LIGO results for the graviton mass m and Ho. This is yet another multi-messenger source for determining the three parameters Lambda, m, and Ho in astrophysics and cosmology, at a time when there is much disparity in measurements of Ho.
