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Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a Schwarzschild black hole

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arxiv gr-qc/9405062 v1 pith:KOGTMWBO submitted 1994-05-26 gr-qc

Hideyuki Tagoshi , Misao Sasaki This is my paper · ORCID
classification gr-qc
keywords gravitationalaroundblackcircularexpansionholeluminositymass
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abstract

Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius $r_0$ around a Schwarzschild black hole of mass $M$. We calculate gravitational wave forms and luminosity up to $v^8$ order beyond Newtonian, where $v=(M/r_0)^{1/2}$. In particular, we give the exact analytical values of the coefficients of $\ln v$ terms at $v^6$ and $v^8$ orders in the luminosity and confirm the numerical values obtained previously by the other of us (HT) and Nakamura. Our result is valid in the small mass limit of one body and gives an important guideline for the gravitational wave physics of coalescing compact binaries.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational waveforms from binaries in higher-derivative gravity: a Love story

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    In higher-derivative gravity, the leading correction to extreme-mass-ratio inspiral waveforms and fluxes enters at 5PN order and is controlled by the ℓ=2 tidal Love number.

  2. Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions

    gr-qc 2025-01 conditional novelty 7.0 of 10

    A new hypergeometric representation of the confluent Heun equation resums infinite PM/PN correction series and yields the circular-orbit energy flux to 30PN order, matching independent numerical black-hole perturbatio...

  3. Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries

    gr-qc 2024-06 conditional novelty 4.0 of 10

    4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.

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