论文标题
用重力波和二元脉冲星观测探测非交通重力
Probing Noncommutative Gravity with Gravitational Wave and Binary Pulsar Observations
论文作者
论文摘要
非交换性重力是一种自然的方法，可以通过将时空坐标为不通勤的运算符来量化时空。例如，从量子重力的角度来看，这种方法是动机的。针对二进制黑洞合并事件GW150914进行了非交换性重力。在这里，我们通过（i）通过（i）放松由于非销售性而放宽对首选方向的假设，（ii）使用Ligo/Virgo协作产生的后样品，（iii）考虑其他引力浪潮事件，即GW151226，GW170608，GW1708170817081708，（iii）脉冲星观测。使用开普勒定律，该定律包含第二个牛顿后秩序下的非交通效应，我们将重力波形阶段和围牙的校正得出。使用重力波和双脉冲星二进制观测值，我们在每个二进制方向的优选帧方向上找到了时空非交换张$θ^{0i} $上的边界。我们发现，通过数量级，引力波比二进制脉冲星的强度强，并且通过普朗克长度归一化的非交通量张量，并且时间约束为统一。
Noncommutative gravity is a natural method of quantizing spacetime by promoting the spacetime coordinates themselves to operators which do not commute. This approach is motivated, for example, from a quantum gravity perspective, among others. Noncommutative gravity has been tested against the binary black hole merger event GW150914. Here, we extend and improve upon such a previous analysis by (i) relaxing an assumption made on the preferred direction due to noncommutativity, (ii) using posterior samples produced by the LIGO/Virgo Collaborations, (iii) consider other gravitational wave events, namely GW151226, GW170608, GW170814 and GW170817, and (iv) consider binary pulsar observations. Using Kepler's law that contains the noncommutative effect at second post-Newtonian order, we derive corrections to the gravitational waveform phase and the pericenter precession. Using the gravitational wave and double pulsar binary observations, we find bounds on a space-time noncommutative tensor $θ^{0i}$ in terms of the preferred frame direction with respect to the orientation of each binary. We find that the gravitational wave bounds are stronger than the binary pulsar one by an order of magnitude and the noncommutative tensor normalized by the Planck length and time is constrained to be of order unity.
