English
Related papers

Related papers: Extending Gravitational Wave Extraction Using Weyl…

200 papers

We introduce a novel method to compute gravitational wave amplitudes within the framework of effective field theory. By reinterpreting the Feynman diagram expansion as a Born series, our method offers several key advantages. It directly…

High Energy Physics - Theory · Physics 2025-03-19 Simon Caron-Huot , Miguel Correia , Giulia Isabella , Mikhail Solon

We propose a recipe - arguably the simplest - to compute the holographic type-B Weyl anomaly for general higher-derivative gravity in asymptotically AdS spacetimes. In 5 and 7 dimensions we identify a suitable basis of curvature invariants…

High Energy Physics - Theory · Physics 2017-05-24 F. Bugini , D. E. Diaz

We consider a general class of four-dimensional geometries admitting a null vector field that has no twist and no shear but has an arbitrary expansion. We explicitly present the Petrov classification of such Robinson-Trautman (and Kundt)…

General Relativity and Quantum Cosmology · Physics 2017-05-08 Jiri Podolsky , Robert Svarc

A massless Weyl-invariant dynamics of a scalar, a Dirac spinor, and electromagnetic fields is formulated in a Weyl space, $W_4$, allowing for conformal rescalings of the metric and of all fields with nontrivial Weyl weight together with the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 W. Drechsler , H. Tann

Sapce-borne gravitational wave antennas, such as LISA and LISA-like mission (Taiji and Tianqin), will offer novel perspectives for exploring our Universe while introduce new challenges, especially in data analysis. Aside from the known…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Yuxiang Xu , Minghui Du , Peng Xu , Bo Liang , He Wang

We study the evolution equations for gravitational waves, which are derived using the full metric to raise and lower indices. This method ensures full consistency between the Ricci tensor and all gauge restrictions and requirements, and…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Rosie Hayward , Fabio Biancalana

We present a complete algebraic classification for the curvature tensor in Weyl-Cartan geometry, by applying methods of eigenvalues and principal null directions on its irreducible decomposition under the group of global Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Sebastian Bahamonde , Jorge Gigante Valcarcel

The extraction of the gravitational wave signal, within the context of a characteristic numerical evolution is revisited. A formula for the gravitational wave strain is developed and tested, and is made publicly available as part of the…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Nigel T Bishop , Christian Reisswig

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

The peeling behaviour of the Weyl tensor near null infinity is determined for an asymptotically flat higher dimensional spacetime. The result is qualitatively different from the peeling property in 4d. To leading order, the Weyl tensor is…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Mahdi Godazgar , Harvey S. Reall

Gravitational waves from precessing black-hole binaries exhibit features that are absent in nonprecessing systems. The most prominent of these is a parity-violating asymmetry that beams energy and linear momentum preferentially along or…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Michael Boyle , Lawrence E. Kidder , Serguei Ossokine , Harald P. Pfeiffer

This thesis describes the application of numerical techniques to solve Einstein's field equations in three distinct cases. First we present the first long-term stable second order convergent Cauchy characteristic matching code in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ulrich Sperhake

This paper is to introduce a new software called CBwaves which provides a fast and accurate computational tool to determine the gravitational waveforms yielded by generic spinning binaries of neutron stars and/or black holes on eccentric…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Péter Csizmadia , Gergely Debreczeni , István Rácz , Mátyás Vasúth

Waves propagating through a gravitational potential exhibit wave-optics effects when their wavelength is not significantly smaller than the lensing scales. We study the propagation of a scalar wave, governed by the Klein-Gordon equation in…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Emma Bruyère , Cyril Pitrou

Since gravitational wave spacetimes are time-varying vacuum solutions of Einstein's field equations, there is no unambiguous means to define their energy content. However, Weber and Wheeler had demonstrated that they do impart energy to…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Ibrar Hussain , F. M. Mahomed , Asghar Qadir

We introduce a general algebraic decomposition of Riemann-like and Weyl-like tensors with respect to a non-null vector $u$. We derive Gauss, Codazzi and Ricci-type identities for the Weyl tensor, that allow to relate the components of the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Marc Mars , Carlos Peón-Nieto

A local UV cutoff $\Lambda(x)$ transforming under Weyl rescalings allows to construct Weyl invariant kinetic terms for scalar fields including Wilsonian cutoff functions. First we consider scalar fields in curved space-time with local bare…

High Energy Physics - Theory · Physics 2021-06-02 Ulrich Ellwanger

This is a partly expository article for the volume "Algebraic and Analytic Microlocal Analysis" on pointwise Weyl laws for spectral projections kernels in the Kaehler setting. We prove a 2-term pointwise Weyl law for projections onto sums…

Complex Variables · Mathematics 2019-09-02 Steve Zelditch , Peng Zhou

In this letter, we establish a complete correspondence between the Newman--Penrose and 1+1+2 semitetrad covariant formalisms by expressing all Newman--Penrose spin coefficients, Ricci scalars, and Weyl scalars in terms of the scalar,…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Abbas M Sherif , Peter K S Dunsby

In this paper we study four concrete models, based on no-scale supergravity with SU(2,1)/SU(2)$\times$ U(1) symmetry. We modify either the K\"ahler potential or the superpotential, which are related to the no-scale theory with this…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-06 Vassilis C. Spanos , Ioanna D. Stamou