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• W4318774467 abstract "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. [Classical Quantum Gravity 34, 134001 (2017).CQGRDG0264-938110.1088/1361-6382/aa7342], which is valid only for nonresonant orbits." @default.
• W4318774467 created "2023-02-02" @default.
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• W4318774467 date "2023-02-03" @default.
• W4318774467 modified "2023-09-27" @default.
• W4318774467 title "Particle Motion under the Conservative Piece of the Self-Force is Hamiltonian." @default.
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• W4318774467 doi "https://doi.org/10.1103/physrevlett.130.051201" @default.
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