Constructing "non-Kerrness" on compact domains

围绕 $j=1$ 带同步毛的黑洞的 EMRIs

EMRIs around $j=1$ black holes with synchronised hair

研究轻量致密天体坠入带同步标量毛的极端质量比旋近黑洞，发现两类 $j=1$ 解序列呈现定量或定性非克尔特性，为区分致密天体提供新方法。

往返之中：非 Kerr 紧致天体中的向外螺旋运动

There and back again: Outspiraling motion in non-Kerr compact objects

该研究探讨了非 Kerr 紧致天体中由于非 Kerr 特征导致的向外螺旋运动条件，并通过引力波现象学示例展示了其理论意义。

Compact Homogeneous Universes

A thorough classification of the topologies of compact homogeneous universes is given except for the hyperbolic spaces, and their global degrees of freedom are completely worked out. To obtain compact universes, spatial points are identified by discrete subgroups of the isometry group of the generalized Thurston geometries, which are related to the Bianchi and the Kantowski-Sachs-Nariai universes. Corresponding to this procedure their total degrees of freedom are shown to be categorised into those of the universal covering space and the Teichmüller parameters. The former are given by construct…

Constructing balanced equations of motion for particles in general relativistic theories: the general case

We present a general approach for the formulation of equations of motion for compact objects in general relativistic theories. The particle is assumed to be moving in a geometric background which in turn is asymptotically flat. Our approach defines a model for particle like objects which emphasizes different aspects of a set of gravitating objects; by concentrating in the main contributions coming from back reaction effects due to gravitational radiation.

Loop Quantum Gravity on Non-Compact Spaces

We present a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact spatial manifolds. Given any fixed background state representing a non-compact spatial geometry, we use the Gel'fand-Naimark-Segal construction to obtain a representation of the algebra of observables. The resulting Hilbert space can be interpreted as describing fluctuation of compact support around this background state. We also give an example of a state which approximates classical flat space and can be used as a background state for our construction.

Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals

The coalescence of compact objects is one of the most promising sources of gravitational waves for ground-based interferometric detectors, such as advanced LIGO and Virgo. Generically, com- pact objects in binaries are expected to be spinning with spin angular momenta misaligned with the orbital angular momentum, causing the orbital plane to precess. This precession adds rich structure to the gravitational waves, introducing such complexity that an analytic closed-form description has been unavailable until now. We here construct the first closed-form frequency- domain gravitational waveforms …