Leading PN order:
We constructed `read-to-use' Fourier-domain gravitational waveforms from an inner binary in a hierarchical triple, by accounting for the Kozai-Lidov oscillations induced by the third body. We modeled the effect to leading order in conservative and dissipative dynamics and found that there is a strong imprint on the gravitational-wave amplitude and a measurable effect on the gravitational-wave phase. Click here for more details.
Higher PN order:
Relativistic effects, such as pericenter precession, significantly alter the Kozai-Lidov dynamics. PN accurate waveforms are also needed for accurately measuring the parameters of the source. To address these issues, we are working on extending our leading order waveform model to higher PN order and to higher eccentricity.
- Systematic bias towards non-GR theories due to unmodeled physics within GR
A binary system in general relativity can have rich physical effects due to eccentricity, spin precession, and higher multipolar structure. Several efforts in the last few decades have gone into modeling these effects. There are ongoing efforts to understand systematic bias due to mismodeling these effects (or not modeling them at all). Given motivations to parametrically test GR (parametrized post-Einsteinian corrections), we are working on understanding systematic bias towards non-GR models due to unmodeled physical effects
Ready-to-use Analytic Model for Gravitational Waves from a Hierarchical Triple with Kozai-Lidov Oscillations, R.S.Chandramouli, N. Yunes (2021 - preprint)
Electronic transport in chaotic mesoscopic cavities: A Kwant and random matrix theory based exploration, R.S. Chandramouli, R.K. Srivastav, S. Kumar, Chaos 30, 123120 (2020).
DOI link: https://doi.org/10.1063/5.0026039
Efficient implementation of the Wang-Landau algorithm for systems with length-scalable potential energy functions, S. Kumar, G. Kumar, R. S. Chandramouli, S. Anand, Physical Review E 98, 063301 (2018).