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This is the third in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Sam R. Dolan , Leor Barack

We present a revised version of Peters' (1964) time-scale for the gravitational-wave (GW) induced decay of two point masses. The new formula includes the effects of the first-order post-Newtonian perturbation and additionally provides a…

Astrophysics of Galaxies · Physics 2020-05-27 Lorenz Zwick , Pedro R. Capelo , Elisa Bortolas , Lucio Mayer , Pau Amaro-Seoane

Second-order gravitational self-force theory has recently led to the breakthrough calculation of ``first post-adiabatic'' (1PA) compact-binary waveforms [Phys. Rev. Lett. 130, 241402 (2023)]. The computations underlying those waveforms…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jeremy Miller , Benjamin Leather , Adam Pound , Niels Warburton

We develop a frequency-domain method for calculating the self-force acting on a scalar charge on a fixed scattering geodesic in Schwarzschild spacetime. Existing frequency-domain methods, which are tailored for bound orbits, are inadequate…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Christopher Whittall , Leor Barack

We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

In the context of the Laser Interferometer Space Antenna (LISA), the laser subsystems exhibit frequency fluctuations that introduce significant levels of noise into the measurements, surpassing the gravitational wave signal by several…

Instrumentation and Detectors · Physics 2024-01-15 Philipp Euringer , Niklas Houba , Gerald Hechenblaikner , Oliver Mandel , Francis Soualle , Walter Fichter

We propose a geometric algorithm for topic learning and inference that is built on the convex geometry of topics arising from the Latent Dirichlet Allocation (LDA) model and its nonparametric extensions. To this end we study the…

Machine Learning · Statistics 2016-10-31 Mikhail Yurochkin , XuanLong Nguyen

We provide expansions of the Detweiler-Whiting singular field for motion along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We transcribe these results into mode-sum regularization parameters, computing previously…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan , Adrian C. Ottewill , Niels Warburton , Barry Wardell , Peter Diener

Time Delay Interferometry (TDI) is often utilized in the data pre-processing of space-based gravitational wave detectors, primarily for suppressing laser frequency noise. About twenty years ago, assuming armlengths remain constant over…

Instrumentation and Detectors · Physics 2023-08-30 Weisheng Huang , Pan-Pan Wang , Yu-Jie Tan , Cheng-Gang Shao

We develop a tool for the analysis of stochastic gravitational wave backgrounds from cosmological first-order phase transitions with LISA: we initiate a template databank for these signals, prototype their searches, and forecast their…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-07 Chiara Caprini , Ryusuke Jinno , Marek Lewicki , Eric Madge , Marco Merchand , Germano Nardini , Mauro Pieroni , Alberto Roper Pol , Ville Vaskonen

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the main sources of gravitational waves expected in the low-frequency band, where space-based detectors like Laser Interferometer Space Antenna (LISA) will operate. The large number of…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Pablo F. Muguruza , Carlos F. Sopuerta

This work presents the first application of the method of Genetic Algorithms (GAs) to data analysis for the Laser Interferometer Space Antenna (LISA). In the low frequency regime of the LISA band there are expected to be tens of thousands…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeff Crowder , Neil J. Cornish , Lucas Reddinger

A more accurate, stable, finite-difference time-domain (FDTD) algorithm is developed for simulating Maxwell's equations with isotropic or anisotropic dielectric materials. This algorithm is in many cases more accurate than previous…

Computational Physics · Physics 2015-06-12 Gregory R. Werner , Carl A. Bauer , John R. Cary

Recent progress in gravitational wave observations has positioned Pulsar Timing Arrays as a key tool for detecting the stochastic gravitational wave background in the nanohertz band. It is widely believed that this background is primarily…

High Energy Astrophysical Phenomena · Physics 2026-05-20 Hinano Hisamatsu , Koutarou Kyutoku

Quantum many-body systems involving bosonic modes or gauge fields have infinite-dimensional local Hilbert spaces which must be truncated to perform simulations of real-time dynamics on classical or quantum computers. To analyze the…

Quantum Physics · Physics 2022-09-28 Yu Tong , Victor V. Albert , Jarrod R. McClean , John Preskill , Yuan Su

The Laser Interferometer Space Antenna (LISA) will enable precision studies of Extreme and Intermediate Mass Ratio Inspirals (EMRIs/IMRIs), providing unique probes of astrophysical environments of galactic nuclei and strong-field gravity.…

Instrumentation and Methods for Astrophysics · Physics 2026-03-19 Lorenzo Speri , Francisco Duque , Susanna Barsanti , Alessandro Santini , Shubham Kejriwal , Ollie Burke , Christian E. A. Chapman-Bird

The analysis of gravitational wave data involves many model selection problems. The most important example is the detection problem of selecting between the data being consistent with instrument noise alone, or instrument noise and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Neil J. Cornish , Tyson B. Littenberg

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

The short-period eclipsing binary ZTFJ1539+5027 discovered by Burdge et al. (2019) will be a strong gravitational-wave source for the Laser Interferometer Space Antenna (LISA). We study how well LISA will constrain the parameters of this…

Instrumentation and Methods for Astrophysics · Physics 2019-09-04 Tyson B. Littenberg , Neil J. Cornish

The method of geodesic deviations has been applied to derive accurate analytic approximations to geodesics in Schwarzschild space-time. The results are used to construct analytic expressions for the source terms in the Regge-Wheeler and…

General Relativity and Quantum Cosmology · Physics 2015-11-26 G. Koekoek , J. W. van Holten