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A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing…

高能物理 - 理论 · 物理学 2023-08-02 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing…

广义相对论与量子宇宙学 · 物理学 2023-08-07 Kaushik Paul , Chandra Kant Mishra

We study parameter estimation with post-Newtonian (PN) gravitational waveforms for the quasi-circular, adiabatic inspiral of spinning binary compact objects. The performance of amplitude-corrected waveforms is compared with that of the more…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Chris Van Den Broeck , Anand S. Sengupta

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

Most of compact binary systems are expected to circularize before the frequency of emitted gravitational waves (GWs) enters the sensitivity band of the ground based interferometric detectors. However, several mechanisms have been proposed…

Self-gravitating bodies can have an arbitrarily complex shape, which implies a much richer multipolar structure than that of a black hole in General Relativity. With this motivation, we study the corrections to the dynamics of a binary…

广义相对论与量子宇宙学 · 物理学 2022-06-28 Nicholas Loutrel , Richard Brito , Andrea Maselli , Paolo Pani

Astrophysical compact binary systems consisting of neutron stars and blackholes are an important class of gravitational wave (GW) sources for advanced LIGO detectors. Accurate theoretical waveform models from the inspiral, merger and…

广义相对论与量子宇宙学 · 物理学 2017-11-15 Soumen Roy , Anand S. Sengupta , Nilay Thakor

Random projection (RP) is a powerful dimension reduction technique widely used in the analysis of high dimensional data. We demonstrate how this technique can be used to improve the computational efficiency of gravitational wave searches…

广义相对论与量子宇宙学 · 物理学 2019-06-11 Sumeet Kulkarni , Khun Sang Phukon , Amit Reza , Sukanta Bose , Anirban Dasgupta , Dilip Krishnaswamy , Anand S. Sengupta

We analyze the problem of parameter estimation for compact binary systems that could be detected by ground-based gravitational wave detectors. So far this problem has only been dealt with for the inspiral and the ringdown phases separately.…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Manuel Luna , Alicia M. Sintes

We review a recently proposed approach to construct gravitational wave (GW) polarization states of unbound spinning compact binaries. Through this rather simple method, we are able to include corrections due to the dominant order spin-orbit…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Lorenzo De Vittori , Achamveedu Gopakumar , Anuradha Gupta , Philippe Jetzer

We introduce an algorithm for placing template waveforms for the search of compact binary mergers in gravitational wave interferometer data. We exploit the smooth dependence of the amplitude and unwrapped phase of the frequency-domain…

天体物理仪器与方法 · 物理学 2019-07-03 Javier Roulet , Liang Dai , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

In the first two years of Gravitational Wave (GW) Astronomy, half a dozen compact binary coalescences (CBCs) have been detected. As the sensitivities and bandwidths of the detectors improve and new detectors join the network, many more…

天体物理仪器与方法 · 物理学 2019-07-03 Bhooshan Gadre , Sanjit Mitra , Sanjeev Dhurandhar

We demonstrate that the orbital eccentricity in compact binary mergers can be used to improve their sky localization using gravitational wave observations. Existing algorithms that conduct the localizations are not optimized for eccentric…

广义相对论与量子宇宙学 · 物理学 2026-02-10 Souradeep Pal

Gravitational waves have predominantly been detected using interferometric techniques, with standard approaches limited to 10 kHz and with modern advancements extending this bound to 300 kHz. To explore the largely uncharted…

广义相对论与量子宇宙学 · 物理学 2025-05-01 Eduard Atonga , Ramy Aboushelbaya , Peter A. Norreys

Analytic approximation methods in general relativity play a very important role when analyzing the gravitational wave signals recently discovered by the LIGO and Virgo detectors. In this contribution, we present the state-of-the-art and…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Luc Blanchet

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Luc Blanchet

In this paper, an implicit nonsymplectic exact energy-preserving integrator is specifically designed for a ten-dimensional phase-space conservative Hamiltonian system with five degrees of freedom. It is based on a suitable…

广义相对论与量子宇宙学 · 物理学 2021-04-16 Shiyang Hu , Xin Wu , Enwei Liang

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

数值分析 · 数学 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang