自引力对引力波包的畸变
Distortion of Gravitational-Wave Packets Due to their Self-Gravity
摘要:
当源在短时间段内发射重力波(GW)脉冲时,GW信号的前沿比脉冲的内边界更红移。GW脉冲被驻留在这些壳层之间的自能的重力效应扭曲。我们说明了这种失真GW脉冲从最后的暴跌的黑洞(BH)的双星,导致GW配置文件的演变作为一个函数的径向距离的来源。失真取决于总GW能量释放和持续时间的排放,标度的总二进制质量,M。该效应应与有限箱模拟相关,其中在<~ 100 M的半径内提取波形。对于任意自旋的二进制BH之间的最后暴跌的特征发射参数,这种效应可能会使LIGO和LISA的模拟GW模板失真0.001的分数。考虑到波形失真,将显著降低数值模拟中的波形提取误差。
英文摘要:
When a source emits a gravity-wave (GW) pulse over a short period of time, the leading edge of the GW signal is redshifted more than the inner boundary of the pulse. The GW pulse is distorted by the gravitational effect of the self-energy residing in between these shells. We illustrate this distortion for GW pulses from the final plunge of black hole (BH) binaries, leading to the evolution of the GW profile as a function of the radial distance from the source. The distortion depends on the total GW energy released and the duration of the emission, scaled by the total binary mass, M. The effect should be relevant in finite box simulations where the waveforms are extracted within a radius of <~ 100M. For characteristic emission parameters at the final plunge between binary BHs of arbitrary spins, this effect could distort the simulated GW templates for LIGO and LISA by a fraction of 0.001. Accounting for the wave distortion would significantly decrease the waveform extraction errors in numerical simulations.
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