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This is the second of two companion papers on computing the self-force in a radiation gauge; more precisely, the method uses a radiation gauge for the radiative part of the metric perturbation, together with an arbitrarily chosen gauge for…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Abhay Shah , Tobias Keidl , John Friedman , Dong-Hoon Kim , Larry Price

The equations of motion of a point particle interacting with its own field are defined in terms of a certain regularized self-field. Two of the leading methods for computing this regularized field are the mode-sum and effective-source…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Niels Warburton , Barry Wardell

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We revisit the question of the imposition of initial data representing astrophysical gravitational perturbations of black holes. We study their dynamics for the case of nonrotating black holes by numerically evolving the Teukolsky equation…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Manuela Campanelli , William Krivan , Carlos O. Lousto

We investigate the formation of primordial black holes (PBHs), their spin and abundance, in a single-field inflationary model based on a mutated hilltop potential inserted with a small step-like feature. This step induces a brief phase of…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-08 Abolhassan Mohammadi , Yogesh , Qiang Wu , Tao Zhu

Quantum amplitudes for $s=2$ gravitational-wave perturbations of Einstein/scalar collapse to a black hole are treated by analogy with $s=1$ Maxwell perturbations. The spin-2 perturbations split into parts with odd and even parity. We use…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. St. J. Farley , P. D. D'Eath

We construct a new static, spherically symmetric black hole spacetime embedded in a dark matter halo whose density follows the cored Burkert profile. Starting from the halo-only geometry determined by the rotation curve relation, we solve…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Yi Yang , Gaetano Lambiase , Ali Ovgun , Dong Liu , Zheng-Wen Long

There is a strong need for high-accuracy and efficient modeling of extreme-mass-ratio binary black hole systems because these are strong sources of gravitational waves that would be detected by future observatories. In this article, we…

General Relativity and Quantum Cosmology · Physics 2012-06-04 Justin McKennon , Gary Forrester , Gaurav Khanna

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

This paper evaluates the potential for constraining the quantum scale parameter $\xi$ of regular black hole within the asymptotically safe gravity framework using gravitational waves from extreme mass ratio inspirals (EMRIs). Since $\xi$…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Lai Zhao , Meirong Tang , Zhaoyi Xu

Inspirals of stellar-mass compact objects into $\sim 10^6 M_{\odot}$ black holes are especially interesting sources of gravitational waves for LISA. We investigate whether the emitted waveforms can be used to strongly constrain the geometry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Curt Cutler

We use the open source, community-driven, numerical relativity software, the Einstein Toolkit to study the physics of eccentric, spinning, nonprecessing binary black hole mergers with mass-ratios $q=\{2, 4, 6\}$, individual dimensionless…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Abhishek V. Joshi , Shawn G. Rosofsky , Roland Haas , E. A. Huerta

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical,…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Adam Pound , Barry Wardell , Niels Warburton , Jeremy Miller

In the study of perturbations around black hole configurations, whether an external source can influence the perturbation behavior is an interesting topic to investigate. When the source acts as an initial pulse, it is intuitively…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Wei-Liang Qian , Kai Lin , Jian-Pin Wu , Bin Wang , Rui-Hong Yue

In this work we investigate the presence of integrable hidden structures in the dynamics of perturbed non-rotating black holes (BHs). This can also be considered as a first step in a wider program of an effective identification of ``slow''…

General Relativity and Quantum Cosmology · Physics 2024-12-06 José Luis Jaramillo , Michele Lenzi , Carlos F. Sopuerta

We consider the modified Einstein equations obtained in the framework of effective spherically symmetric polymer models inspired by Loop Quantum Gravity. When one takes into account the anomaly free point-wise holonomy quantum corrections,…

General Relativity and Quantum Cosmology · Physics 2019-02-01 Jibril Ben Achour , Frédéric Lamy , Hongguang Liu , Karim Noui

We calculate the gravitational self force acting on a pointlike particle of mass $\mu$, set in a circular geodesic orbit around a Schwarzschild black hole. Our calculation is done in the Lorenz gauge: For given orbital radius, we first…

General Relativity and Quantum Cosmology · Physics 2010-08-30 Leor Barack , Norichika Sago

Modeling the radiation generated by accreting matter is an important step towards realistic simulations of black hole accretion disks, especially at high accretion rates. To this end, we have recently added radiation transport to the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 P. Chris Fragile , Anna Gillespie , Timothy Monahan , Marco Rodriguez , Peter Anninos

The motion of a small compact object in a background spacetime is investigated in the context of a model nonlinear scalar field theory. This model is constructed to have a perturbative structure analogous to the General Relativistic…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Chad R. Galley

Sgr A* represents a unique laboratory for the detailed study of accretion processes around a low-luminosity supermassive black hole (SMBH). Recent X-ray observations have allowed for spatially resolved modeling of the emission from the…

High Energy Astrophysical Phenomena · Physics 2018-11-28 Ren-Yi Ma , Shawn R. Roberts , Ya-Ping Li , Q. Daniel Wang