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Scientific analysis for the gravitational-wave detector LISA will require theoretical waveforms from extreme-mass-ratio inspirals (EMRIs) that extensively cover all possible orbital and spin configurations around astrophysical Kerr black…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Soichiro Isoyama , Ryuichi Fujita , Alvin J. K. Chua , Hiroyuki Nakano , Adam Pound , Norichika Sago

Recently the non-local gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late-time accelerating expansion of the universe. For any…

广义相对论与量子宇宙学 · 物理学 2019-08-23 Utkarsh Kumar , Sukanta Panda , Avani Patel

Future space-borne interferometers will be able to detect gravitational waves at $10^{-3}$ to $10^{-1}$ Hz. At this band extreme-mass-ratio inspirals (EMRIs) can be promising gravitational wave sources. In this paper, we investigate…

广义相对论与量子宇宙学 · 物理学 2019-10-30 Shuo Xin , Wen-Biao Han , Shu-Cheng Yang

The satellite observatory LISA will be capable of detecting gravitational waves from extreme mass ratio inspirals (EMRIs), such as a small black hole orbiting a supermassive black hole. The gravitational effects of the much smaller mass can…

广义相对论与量子宇宙学 · 物理学 2009-04-02 Mark V. Berndtson

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. It is known that the metric perturbation induced by a particle can be divided into two parts, the…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Hiroyuki Nakano , Norichika Sago , Misao Sasaki

Calculations of the gravitational self-force (GSF) in curved spacetime require as input the metric perturbation in a sufficiently regular gauge. A basic challenge in the program to compute the GSF for orbits around a Kerr black hole is that…

广义相对论与量子宇宙学 · 物理学 2014-01-21 Adam Pound , Cesar Merlin , Leor Barack

Extreme mass-ratio inspirals (EMRIs) are one of the most highly anticipated sources of gravitational radiation novel to detection by millihertz space-based detectors. To accurately estimate the parameters of EMRIs and perform precision…

广义相对论与量子宇宙学 · 物理学 2023-05-22 Leanne Durkan , Niels Warburton

In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here,…

广义相对论与量子宇宙学 · 物理学 2025-10-10 Roman Berens , Trevor Gravely , Alexandru Lupsasca

Vacuum perturbations of the Kerr metric can be reconstructed from the corresponding perturbation in either of the two Weyl scalars $\psi_0$ or $\psi_4$, using a procedure described by Chrzanowski and others in the 1970s. More recent work,…

广义相对论与量子宇宙学 · 物理学 2016-12-06 Cesar Merlin , Amos Ori , Leor Barack , Adam Pound , Maarten van de Meent

We explicitly construct the metric of a Kerr black hole that is tidally perturbed by the external universe in the slow-motion approximation. This approximation assumes that the external universe changes slowly relative to the rotation rate…

广义相对论与量子宇宙学 · 物理学 2014-04-14 Nicolas Yunes , Jose Gonzalez

We consider the self-force on a charged particle moving in a curved spacetime with a background electromagnetic field, extending previous studies to situations in which gravitational and electromagnetic perturbations are comparable. The…

广义相对论与量子宇宙学 · 物理学 2014-10-22 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

广义相对论与量子宇宙学 · 物理学 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano

As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a super massive blackhole for a Nonlocal…

广义相对论与量子宇宙学 · 物理学 2020-08-11 Avani Patel

Inspirals of stellar-mass objects into massive black holes will be important sources for the space-based gravitational-wave detector LISA. Modelling these systems requires calculating the metric perturbation due to a point particle orbiting…

广义相对论与量子宇宙学 · 物理学 2022-01-03 Vahid Toomani , Peter Zimmerman , Andrew Spiers , Stefan Hollands , Adam Pound , Stephen R. Green

Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

广义相对论与量子宇宙学 · 物理学 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

We analyze a rotating regular black hole spacetime with an asymptotically Minkowski core, focusing on extreme mass-ratio inspiral (EMRIs) where a stellar-mass object inspirals a supermassive black hole under consideration. Such spacetimes…

广义相对论与量子宇宙学 · 物理学 2025-10-01 Shailesh Kumar , Tieguang Zi

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a Schwarzschild or Kerr black hole of mass $M$, the particle is subject to an $\O(\mu)$ radiation-reaction "self-force". Here I argue that it's valuable to compute this…

广义相对论与量子宇宙学 · 物理学 2010-06-21 Jonathan Thornburg

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

广义相对论与量子宇宙学 · 物理学 2015-08-10 Cesar Merlin , Abhay G. Shah

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…

广义相对论与量子宇宙学 · 物理学 2018-09-26 Donato Bini , Andrea Geralico

The detection of gravitational waves from Extreme mass Ratio Inspirals (EMRIs) by the future space-based gravitational-wave detectors demands the generation of accurate enough waveform templates. Since the spin of the smaller secondary body…

广义相对论与量子宇宙学 · 物理学 2022-04-21 Viktor Skoupý , Georgios Lukes-Gerakopoulos