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We derive the corrections to effective-one-body (EOB) metric potentials for the tail (nonlocal-in-time) nonlocal-in-time of conservative dynamics for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. The nonlocal-in- time EOB Hamiltonian is obtained by mapping the order-reduced Hamiltonian corresponding to the nonlocal-in-time Lagrangian derived. To transcribe the dynamics within EOB formalism, we use a strategy of order-reduction of nonlocal dynamics to local ordinary action-angle Hamiltonian. We then map this onto the EOB Hamiltonian to determine the nonlocal-in-time ST corrections to the EOB potentials at 3PN order.

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Nonlocal-In-Time Effective-One-Body Hamiltonian in Scalar-Tensor Theories at Third Post-Newtonian Order

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  • 发表日期：

    2025年

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  • Tamanna Jain

摘要

We derive the corrections to effective-one-body (EOB) metric potentials for the tail (nonlocal-in-time) nonlocal-in-time of conservative dynamics for massless Scalar-Tensor (ST) theories at third post-Newtonian (PN) order. The nonlocal-in- time EOB Hamiltonian is obtained by mapping the order-reduced Hamiltonian corresponding to the nonlocal-in-time Lagrangian derived. To transcribe the dynamics within EOB formalism, we use a strategy of order-reduction of nonlocal dynamics to local ordinary action-angle Hamiltonian. We then map this onto the EOB Hamiltonian to determine the nonlocal-in-time ST corrections to the EOB potentials at 3PN order.