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Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit…

广义相对论与量子宇宙学 · 物理学 2016-08-07 Serguei Ossokine , Michael Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Béla Szilágyi

More than 50 abstracts were submitted to the A4 session on "Alternatives Theories of Gravity" at the GRG18 conference. About 30 of them were scheduled as oral presentations, that we summarize below. We do not intend to give a critical…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gilles Esposito-Farese

We apply a recently proposed approximation method to the evaluation of non-Gaussian integral and anharmonic oscillator. The method makes use of the truncated perturbation series by recasting it via the modified Laplace integral…

数学物理 · 物理学 2009-10-30 Naoki Mizutani , Hirofumi Yamada

These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the…

Recent breakthroughs in the field of numerical relativity have led to dramatic progress in understanding the predictions of General Relativity for the dynamical interactions of two black holes in the regime of very strong gravitational…

广义相对论与量子宇宙学 · 物理学 2011-02-18 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

Here, we report briefly two topics: 1) The latest version of ``Analytic Perturbation Theory" (APT) devised recently for the QCD observables both in the Euclidean and Minkowskian regions. 2) Results of the APT--based calculation for some…

高能物理 - 唯象学 · 物理学 2007-05-23 D. V. Shirkov

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

We present a "dictionary" to expedite the identification of potential deviations in gravitational waveforms from those predicted by General Relativity (GR) during the inspiral phase of black hole binaries. Assuming deviations from GR can be…

广义相对论与量子宇宙学 · 物理学 2025-12-04 Laura Bernard , Suvendu Giri , Luis Lehner , Riccardo Sturani

Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

Gravitational wave echoes provide our most direct and surprising observational window into quantum nature of black holes. Three years ago, the first search for echoes from Planck-scale modifications of general relativity near black hole…

广义相对论与量子宇宙学 · 物理学 2020-01-06 Jahed Abedi , Niayesh Afshordi

Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in…

广义相对论与量子宇宙学 · 物理学 2024-04-09 Davide Perrone , Thomas Barreira , Alex Kehagias , Antonio Riotto

The post-Newtonian formalism plays an integral role in the models used to extract information from gravitational wave data, but models that incorporate this formalism are inherently approximations. Disagreement between an approximate model…

广义相对论与量子宇宙学 · 物理学 2024-10-17 Caroline B. Owen , Carl-Johan Haster , Scott Perkins , Neil J. Cornish , Nicolás Yunes

The Homotopy Analysis Method (HAM) is a useful method to derive analytical approximate solutions of black holes in modified gravity theories. In this paper, we study the Einstein-Weyl gravity coupled with Maxwell field, and obtain…

广义相对论与量子宇宙学 · 物理学 2023-08-22 Sheng-Yuan Li , Ming Zhang , De-Cheng Zou , Meng-Yun Lai

Pulsar timing arrays (PTAs) are searching for nanohertz-frequency gravitational waves (GWs) through cross-correlation of pulse arrival times from a set of radio pulsars. PTAs have relied upon a frequency-shift formula of the pulse, where…

高能天体物理现象 · 物理学 2024-07-03 Ryousuke Kubo , Kakeru Yamahira , Hideki Asada

Motivated by the possibility of observing gravitational waves from merging black holes whose spins are nearly extremal (i.e., 1 in dimensionless units), we present numerical waveforms from simulations of merging black holes with the highest…

广义相对论与量子宇宙学 · 物理学 2012-01-30 Geoffrey Lovelace , Michael Boyle , Mark A. Scheel , Bela Szilagyi

We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Donato Bini , Thibault Damour

We describe efforts over the last six years to implement regularization methods suitable for studying one or more interacting black holes by direct N-body simulations. Three different methods have been adapted to large-N systems: (i)…

天体物理学 · 物理学 2009-11-13 Sverre J. Aarseth

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field…

广义相对论与量子宇宙学 · 物理学 2024-05-19 Gerhard Schäfer
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