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This letter describes a scalar curvature invariant for general relativity with a certain, distinctive feature. While many such invariants exist, this one vanishes in regions of space-time which can be said unambiguously to contain no…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Christopher Beetle , Lior M. Burko

A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

广义相对论与量子宇宙学 · 物理学 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

General relativity (GR) has been extensively tested in the solar system and in binary pulsars, but never in the strong-field, dynamical regime. Soon, gravitational-wave (GW) detectors like Advanced LIGO and eLISA will be able to probe this…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Ryan N. Lang

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

广义相对论与量子宇宙学 · 物理学 2014-10-06 Alexandre Le Tiec

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

广义相对论与量子宇宙学 · 物理学 2025-12-25 Azadeh Maleknejad

We numerically integrate the Einstein's equations for a spatially flat Friedmann-Lemaire-Robertson-Walker (FLRW) background spacetime with a spatial curvature perturbation and evolving primordial tensor perturbations using the Einstein…

宇宙学与河外天体物理 · 物理学 2018-08-29 Ke Wang

The prime candidate of LIGO/VIRGO sources of gravitational waves is the spiral in of black holes and neutron stars in compact binaries. While the early stages of the evolution of compact binaries is computable from post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Maurice H. P. M. van Putten

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

广义相对论与量子宇宙学 · 物理学 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

Inspired by the pioneering 1968 work of L Parker, demonstrating matter quanta production in a dynamical spacetime background, we consider production of scalar quanta in a gravitational wave background. Choosing the spacetime to be a flat…

广义相对论与量子宇宙学 · 物理学 2024-08-27 Tanmoy Chakraborty , Parthasarathi Majumdar

We introduce a new geometrically invariant prescription for comparing two different spacetimes based on geodesic deviation. We use this method to compare a family of recently introduced analytical spacetime representing inspiraling…

广义相对论与量子宇宙学 · 物理学 2018-04-11 Jam Sadiq , Yosef Zlochower , Hiroyuki Nakano

We study the nonlinear dynamics of binary black hole systems with scalar charge by numerically evolving the full equations of motion for shift-symmetric Einstein scalar Gauss-Bonnet gravity. We consider quasi-circular binaries with…

广义相对论与量子宇宙学 · 物理学 2023-01-25 Maxence Corman , Justin L. Ripley , William E. East

Gravitational wave observations will probe non-linear gravitational interactions and thus enable strong tests of Einstein's theory of general relativity. We present a numerical relativity study of the late inspiral and merger of binary…

广义相对论与量子宇宙学 · 物理学 2015-06-03 James Healy , Tanja Bode , Roland Haas , Enrique Pazos , Pablo Laguna , Deirdre M. Shoemaker , Nicolás Yunes

Generalizing to relativistic exponential scaling and using the theory of noise from quantum fluctuations, it has been shown that one vacuum (Rindler, Hartle-Hawking, or Gibbons-Hawking for the cases of the uniformly accelerated detector,…

广义相对论与量子宇宙学 · 物理学 2022-03-14 Chiranjeeb Singha , Subhashish Banerjee

The theory of general relativity, which is extremely well verified by classic tests in the solar system as well as by the radiation of the binary pulsar, is one of the fundamental tools of nowadays astrophysics. It permits the computation…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luc Blanchet

We review recent progress in numerical relativity simulations of black-hole (BH) spacetimes. Following a brief summary of the methods employed in the modeling, we summarize the key results in three major areas of BH physics: (i) BHs as…

广义相对论与量子宇宙学 · 物理学 2017-03-22 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso

The purpose of this paper is to discuss in detail the use of scalar matter coupled to linearly polarized Einstein-Rosen waves as a probe to study quantum gravity in the restricted setting provided by this symmetry reduction of general…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. Fernando Barbero G. , Iñaki Garay , Eduardo J. S. Villaseñor

We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature…

广义相对论与量子宇宙学 · 物理学 2023-05-11 Niko Jokela , K. Kajantie , Miika Sarkkinen

Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

广义相对论与量子宇宙学 · 物理学 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Luc Blanchet
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