论文标题
在自我力量的保守派下的粒子运动是哈密顿
Particle motion under the conservative piece of the self-force is Hamiltonian
论文作者
论文摘要
我们考虑在标量，电磁或重力自我的影响下固定时空中点粒子的运动。我们表明，一阶自力的保守派产生了汉密尔顿动力学，我们在相空间上为哈密顿人提供了明确的表达。我们的结果专门针对KERR时空，概括了Fujita等人先前获得的Hamiltonian功能。 Al。，仅适用于非共振轨道。我们讨论对二进制黑洞力学的第一定律的影响。
We consider the motion of a point particle in a stationary spacetime under the influence of a scalar, electromagnetic or gravitational self-force. We show that the conservative piece of the first-order self-force gives rise to Hamiltonian dynamics, and we derive an explicit expression for the Hamiltonian on phase space. Specialized to the Kerr spacetime, our result generalizes the Hamiltonian function previously obtained by Fujita et. al., which is valid only for non-resonant orbits. We discuss implications for the first law of binary black hole mechanics.
