论文标题
检测与丽莎的赤道对称性破裂
On Detecting Equatorial Symmetry Breaking with LISA
论文作者
论文摘要
Kerr黑洞的赤道对称性通常在量子重力模型中被损坏。然而，大多数现象学模型始于赤道对称性的假设，很少关注这种吸烟枪的超越物理学的签名。尤其是众所周知，极端的质量比率灵感（EMRIS）在其地平线附近敏感地探测了超大型黑洞。然而，目前基于赤道对称的模型，目前，在基于空间的引力波观测（例如使用LISA）中，对KERR偏差的约束估计值。我们使用经过修改的“分析性kludge”波形来估计丽莎将以最低的奇数奇偶式多极矩$ s_2，m_3 $的形式来测量或约束赤道对称性破裂。我们发现，诸如$ s_2/m^3 $之类的无量纲多极比率通常可检测到lisa emris，其测量精度为$δ（s_2/m^3）\ sim 1 \％$;这将对赤道对称性的破裂设定强大的限制。
The equatorial symmetry of the Kerr black hole is generically broken in models of quantum gravity. Nevertheless, most phenomenological models start from the assumption of equatorial symmetry, and little attention has been given to the observability of this smoking gun signature of beyond-GR physics. Extreme mass-ratio inspirals (EMRIs), in particular, are known to sensitively probe supermassive black holes near their horizon; yet estimates for constraints on deviations from Kerr in space-based gravitational wave observations (e.g. with LISA) of such systems are currently based on equatorially symmetric models. We use modified "analytic kludge" waveforms to estimate how accurately LISA will be able to measure or constrain equatorial symmetry breaking, in the form of the lowest-lying odd parity multipole moments $S_2, M_3$. We find that the dimensionless multipole ratios such as $S_2/M^3$ will typically be detectable for LISA EMRIs with a measurement accuracy of $Δ(S_2/M^3) \sim 1\%$; this will set a strong constraint on the breaking of equatorial symmetry.
