González José A, Sperhake Ulrich, Brügmann Bernd, Hannam Mark, Husa Sascha
Theoretical Physics Institute, University of Jena, 07743 Jena, Germany.
Phys Rev Lett. 2007 Mar 2;98(9):091101. doi: 10.1103/PhysRevLett.98.091101. Epub 2007 Feb 28.
When unequal-mass black holes merge, the final black hole receives a kick due to the asymmetric loss of linear momentum in the gravitational radiation emitted during the merger. The magnitude of this kick has important astrophysical consequences. Recent breakthroughs in numerical relativity allow us to perform the largest parameter study undertaken to date in numerical simulations of binary black-hole inspirals. We study nonspinning black-hole binaries with mass ratios from q=M1/M2=1 to q=0.25 (eta=q/(1+q)2 from 0.25 to 0.16). We accurately calculate the velocity of the kick to within 6%, and the final spin of the black holes to within 2%. A maximum kick of 175.2+/-11 km s(-1) is achieved for eta=0.195+/-0.005.
当质量不等的黑洞合并时，由于合并过程中引力辐射导致的线动量不对称损失，最终的黑洞会获得一个反冲速度。这个反冲速度的大小具有重要的天体物理学意义。数值相对论的最新突破使我们能够在双黑洞并合的数值模拟中进行迄今为止最大规模的参数研究。我们研究了质量比从q = M1/M2 = 1到q = 0.25（η = q/(1 + q)²从0.25到0.16）的非自旋黑洞双星。我们将反冲速度的计算精度精确到6%以内，黑洞的最终自旋精度精确到2%以内。对于η = 0.195 ± 0.005，获得了最大反冲速度175.2 ± 11 km s⁻¹ 。
