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Analytical Solution of Spinning, Eccentric Binary Black Hole Dynamics at the Second Post-Newtonian Order
Tom Colin, Sashwat Tanay, Laura Bernard
Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features si…
Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order
Vojtěch Witzany, Viktor Skoupý, Leo C. Stein +1
The motion of compact binaries is influenced by the spin of their components starting at the 1.5 post-Newtonian (PN) order. On the other hand, in the large mass ratio limit, the sp…
Towards a more robust algorithm for computing the Kerr quasinormal mode frequencies
Sashwat Tanay
Leaver's method has been the standard for computing the quasinormal mode (QNM) frequencies for a Kerr black hole (BH) for a few decades. We start with a spectral variant of Leaver'…
Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order
Rickmoy Samanta, Sashwat Tanay, Leo C. Stein
The closed-form solution of the 1.5 post-Newtonian (PN) accurate binary black hole (BBH) Hamiltonian system has proven to be difficult to obtain for a long time since its introduct…
Integrability and action-angle-based solution of the post-Newtonian BBH system (lecture notes)
Sashwat Tanay
These lecture notes are based on Refs. arXiv:2110.15351, arXiv:2012.06586, and arXiv:1908.02927, which aim to give closed-form solutions to the spinning, eccentric binary black hol…
Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order
Sashwat Tanay, Leo C. Stein, Gihyuk Cho
Accurate and efficient modeling of the dynamics of binary black holes (BBHs) is crucial to their detection through gravitational waves (GWs), with LIGO/Virgo/KAGRA, and LISA in the…
Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order
Sashwat Tanay, Leo C. Stein, José T. Gálvez Ghersi
Accurate and efficient modeling of the dynamics of binary black holes (BBHs) is crucial to their detection and parameter estimation through gravitational waves, both with LIGO/Virg…
Convergence of Fourier-domain templates for inspiraling eccentric compact binaries
Sashwat Tanay, Antoine Klein, Emanuele Berti +1
The space-based detector LISA may observe gravitational waves from the early inspiral of stellar-mass black hole binaries, some of which could have significant eccentricity. Curren…
Frequency and time domain inspiral templates for comparable mass compact binaries in eccentric orbits
Sashwat Tanay, Maria Haney, Achamveedu Gopakumar
Inspiraling compact binaries with non-negligible orbital eccentricities are plausible gravitational wave (GW) sources for the upcoming network of GW observatories. In this paper, w…