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The generalization of scale invariance when gravitational effects are considered is Weyl invariance, namely, invariance under (global or local) rescalings of the metric. In this work, we discuss in some details the implications of the fact…

高能物理 - 理论 · 物理学 2022-10-14 Enrique Alvarez , Jesus Anero , Raquel Santos-Garcia

A comparison is given between the Newtonian and Einsteinian frames of gravitation. From this it is shown that there exist a weak connection to gravitation and electromagnetism. This connection is then studied more thoroughly with the Weyl…

综合物理 · 物理学 2007-05-23 E. F. Halerewicz

We revisit the problem of gravitational-wave extraction in numerical relativity with gauge-invariant metric perturbation theory of spherical spacetimes. Our extraction algorithm allows the computation of even-parity (Zerilli-Moncrief) and…

广义相对论与量子宇宙学 · 物理学 2025-08-07 Joan Fontbuté , Sebastiano Bernuzzi , Simone Albanesi , David Radice , Alireza Rashti , William Cook , Boris Daszuta , Alessandro Nagar

The issue of the gauge invariance of gravitational waves arises if they are produced in the early universe at second-order in perturbation theory. We address it by dividing the discussion about the gauge invariance in three parts: the…

广义相对论与量子宇宙学 · 物理学 2020-03-18 V. De Luca , G. Franciolini , A. Kehagias , A. Riotto

In this paper, we improve the calculation of the relic gravitational waves (RGW) in two aspects: First, we investigate the transfer function after considering the redshift-suppression effect, the accelerating expansion effect, the damping…

广义相对论与量子宇宙学 · 物理学 2010-06-01 Wen Zhao

We provide a gauge-invariant theory of gravitation in the context of Weyl Integrable Space-Times. After making a brief review of the theory's postulates, we carefully define the observers' proper-time and point out its relation with…

广义相对论与量子宇宙学 · 物理学 2014-10-31 F. P. Poulis , J. M. Salim

We investigate gravitational wave emission from an oscillating star modeled in a static Weyl background using a modulated waveform ansatz. First, we revisit the Weyl metric and obtain a Bessel-type curvature solution with regularity and…

广义相对论与量子宇宙学 · 物理学 2025-05-07 Abraão J. S. Capistrano , Newton M. S. Chávez , Víctor A. M. León

The Weyl geometric gravity theory, in which the gravitational action is constructed from the square of the Weyl curvature scalar and the strength of the Weyl vector, has been intensively investigated recently. The theory admits a…

广义相对论与量子宇宙学 · 物理学 2025-11-19 Mohsen Khodadi , Tiberiu Harko

Most problems in gravitational lensing require numerical solutions. The most frequent types of problems are (1) finding multiple images of a single source and classifying the images according to their properties like magnification or…

天体物理学 · 物理学 2007-05-23 Matthias Bartelmann

We compute the linearized Weyl-Weyl correlator using a new solution for the graviton propagator on de Sitter background in de Donder gauge. The result agrees exactly with a previous computation in a noncovariant gauge. We also use…

广义相对论与量子宇宙学 · 物理学 2015-06-05 P. J. Mora , N. C. Tsamis , R. P. Woodard

An overview of some tools and techniques being developed for data conditioning (regression of instrumental and environmental artifacts from the data channel), detector design evaluation (modeling the science ``reach'' of alternative…

广义相对论与量子宇宙学 · 物理学 2009-10-31 L. S. Finn , G. Gonzalez , J. Hough , M. F. Huq , S. Mohanty , J. Romano , S. Rowan , P. R. Saulson , K. A. Strain

We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those -highly symmetric -geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. Deser , Bayram Tekin

We present a fully nonlinear calculation of the waveform of the gravitational radiation emitted in the fission of a vacuum white hole. At early times, the waveforms agree with close-approximation perturbative calculations but they reveal…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

This work elaborates on a detailed analysis of the novel characteristics of gravitational waves (GWs) generated by extreme mass ratio inspirals (EMRIs) within the framework of modified gravity (MOG). Our study begins by exploring the…

广义相对论与量子宇宙学 · 物理学 2024-08-20 Xiongying Qiao , Zhong-Wu Xia , Qiyuan Pan , Hong Guo , Wei-Liang Qian , Jiliang Jing

On the basis of the Poincare-Weyl gauge theory of gravitation, a new conformal Weyl-Dirac theory of gravitation is proposed, which is a gravitational theory in Cartan-Weyl spacetime with the Dirac scalar field representing the dark matter…

广义相对论与量子宇宙学 · 物理学 2017-07-17 O. V. Babourova , B. N. Frolov , P. E. Kudlaev

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

广义相对论与量子宇宙学 · 物理学 2012-10-09 Michele Vallisneri

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

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Lior M. Burko , Gaurav Khanna

We present expressions for the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of the Weyl scalar $\Psi_4$. We also show…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Milton Ruiz , Miguel Alcubierre , Dario Nunez , Ryoji Takahashi

We study the variational principle over an Hilbert-Einstein like action for an extended geometry taking into account torsion and non-metricity. By extending the semi-Riemannian geometry, we obtain an effective energy-momentum tensor which…

广义相对论与量子宇宙学 · 物理学 2016-03-30 Jesús Martín Romero , Mauricio Bellini , José Edgar Madriz Aguilar