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We provide a systematic analysis of the multipolar gravitational waveform, energy and angular momentum fluxes emitted by a nonspinning test particle orbiting a Kerr black hole along equatorial, eccentric orbits. These quantities are…

General Relativity and Quantum Cosmology · Physics 2022-03-31 Simone Albanesi , Alessandro Nagar , Sebastiano Bernuzzi

By monitoring the times of arrival of radio pulses from millisecond pulsars, Pulsar Timing Arrays (PTAs) serve as unique gravitational wave (GW) laboratories in the nanohertz band. To date, the primary astrophysical sources of GWs targeted…

High Energy Astrophysical Phenomena · Physics 2026-04-24 Hippolyte Quelquejay Leclere

We present an accurate approximation of the full gravitational radiation waveforms generated in the merger of non-eccentric systems of two non-spinning black holes. Utilizing information from recent numerical relativity simulations and the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandra Buonanno , Yi Pan , John G. Baker , Joan Centrella , Bernard J. Kelly , Sean T. McWilliams , James R. van Meter

Following the recent evidence for a gravitational wave (GW) background found by pulsar timing array (PTA) experiments, the next major science milestone is resolving individual supermassive black hole binaries (SMBHBs). The detection of…

Instrumentation and Methods for Astrophysics · Physics 2026-04-21 Polina Petrov , Levi Schult , Stephen R. Taylor , Nihan Pol , Nima Laal , Maria Charisi , Chung-Pei Ma

Galaxy observations suggest that mergers of supermassive black hole binaries (SMBHBs) are rare events, with rates of order one per decade across the observable Universe. We present a framework to search for merging SMBHBs in pulsar timing…

High Energy Astrophysical Phenomena · Physics 2026-04-17 Sharon Mary Tomson , Boris Goncharov , Rutger van Haasteren

Pulsar timing arrays (PTAs) are designed to detect gravitational waves (GWs) at nHz frequencies. The expected dominant signal is given by the superposition of all waves emitted by the cosmological population of supermassive black hole…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Alberto Sesana

We address the problem of constructing high-accuracy, faithful analytic waveforms describing the gravitational wave signal emitted by inspiralling and coalescing binary black holes. We work within the Effective-One-Body (EOB) framework and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

We present a new effective-one-body (EOB) waveform for eccentric, nonspinning, binaries in the extreme mass ratio limit, with initial eccentricities up to $0.95$. The EOB analytical waveform, that includes noncircular corrections up to…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Simone Albanesi , Sebastiano Bernuzzi , Thibault Damour , Alessandro Nagar , Andrea Placidi

Binaries of supermassive black holes (MBHBs) represent the primary sources of the gravitational wave background (GWB) detectable by Pulsar Timing Arrays (PTAs). The eccentricity with which binaries form in galactic mergers is the key…

Astrophysics of Galaxies · Physics 2026-01-06 Alessia Gualandris , Justin Read , Federica Fastidio , Julian Chan , Thibaut François , Nader Khonji , Walter Dehnen

Pulsar timing arrays (PTAs) are Galactic-scale gravitational wave (GW) detectors consisting of precisely-timed pulsars distributed across the sky. Within the decade, PTAs are expected to detect the nanohertz GWs emitted by close-separation…

High Energy Astrophysical Phenomena · Physics 2023-03-15 Tingting Liu , Tyler Cohen , Casey McGrath , Paul Demorest , Sarah Vigeland

Dynamical capture is a possible formation channel for BBH mergers leading to highly eccentric merger dynamics and to gravitational wave (GW) signals that are morphologically different from those of quasi-circular mergers. The future…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Alessandro Nagar , Piero Rettegno , Rossella Gamba , Sebastiano Bernuzzi

We present a fast and versatile method to calculate the characteristic spectrum $h_c$ of the gravitational wave background (GWB) emitted by a population of eccentric massive black hole binaries (MBHBs). We fit the spectrum of a reference…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-12 Siyuan Chen , Alberto Sesana , Walter Del Pozzo

Supermassive black hole binaries (SMBHBs) are expected to emit continuous gravitational waves in the pulsar timing array (PTA) frequency band ($10^{-9}$--$10^{-7}$ Hz). The development of data analysis techniques aimed at efficient…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Justin Ellis , Xavier Siemens , Jolien Creighton

We consider the inverse problem in pulsar timing array (PTA) analysis, investigating what astrophysical information about the underlying massive black hole binary (MBHB) population can be recovered from the detection of a stochastic…

High Energy Astrophysical Phenomena · Physics 2017-07-12 Siyuan Chen , Hannah Middleton , Alberto Sesana , Walter Del Pozzo , Alberto Vecchio

Accurate and computationally efficient waveform models are required to infer the parameters of compact binaries from their gravitational wave (GW) emission. Among these parameters, orbital eccentricity serves as a smoking gun for dynamical…

Pulsar timing arrays (PTAs) are expected to detect gravitational waves (GWs) from individual low-redshift (z<1.5) compact supermassive (M>10^9 Msun) black hole (SMBH) binaries with orbital periods of approx. 0.1 - 10 yrs. Identifying the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Takamitsu Tanaka , Kristen Menou , Zoltán Haiman

We quantify for the first time the gravitational wave (GW) phase shift appearing in the waveform of eccentric binary black hole (BBH) mergers formed dynamically in three-body systems. For this, we have developed a novel numerical method…

High Energy Astrophysical Phenomena · Physics 2024-03-12 Johan Samsing , Kai Hendriks , Lorenz Zwick , Daniel J. D'Orazio , Bin Liu

The Effective-One-Body (EOB) formalism contains several flexibility parameters, notably $a_5$, $\vp$ and $\a$. We show here how to jointly constrain the values of these parameters by simultaneously best-fitting the EOB waveform to two,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar , Mark Hannam , Sascha Husa , Bernd Brugmann

The observation of massive black hole binaries (MBHBs) with Pulsar Timing Arrays (PTAs) is one of the goals of gravitational wave astronomy in the coming years. Massive (>10^8 solar masses) and low-redshift (< 1.5) sources are expected to…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-19 Alberto Sesana , Alberto Vecchio