Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling
Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling
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通过松弛爱因斯坦方程的直接积分得出后牛顿引力辐射和运动方程。
DOI：
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发表时间：
2007
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影响因子：
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通讯作者：
C. Will
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文献类型：
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作者：
Han Wang;C. Will
使用包含 2.5 和 3.5 后牛顿 (PN) 阶 O[(v/c)^5] 和 O[(v/c)^7] 超出牛顿阶的辐射反应项的流体后牛顿运动方程，我们推导了具有旋转体的二元系统的运动方程，包括自旋-自旋效应。特别是，我们确定了与自旋-自旋效应耦合的辐射反应对二体运动方程以及自旋演化的影响。我们发现辐射阻尼会导致 3.5PN 级、自旋-自旋引起的各个自旋进动。这与自旋轨道耦合的情况形成对比，其中对 3.5PN 级的自旋没有影响。利用运动方程和自旋进动方程，我们验证了自旋-自旋效应引起的总能量和总角动量的损失精确地平衡了 Kidder 等人计算的这些量的辐射通量。
Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems with spinning bodies, including spin-spin effects. In particular we determine the effects of radiation-reaction coupled to spin-spin effects on the two-body equations of motion, and on the evolution of the spins. We find that radiation damping causes a 3.5PN order, spin-spin induced precession of the individual spins. This contrasts with the case of spin-orbit coupling, where there is no effect on the spins at 3.5PN order. Employing the equations of motion and of spin precession, we verify that the loss of total energy and total angular momentum induced by spin-spin effects precisely balances the radiative flux of those quantities calculated by Kidder et al.