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For specifically coupled values of the quadratic gravity parameters, we present a fully explicit static spherically symmetric solution. It contains the central singularity surrounded by the black-hole or the cosmological horizon for the…

广义相对论与量子宇宙学 · 物理学 2026-02-04 Simon Knoska , David Kofron , Robert Svarc

This revision includes clarified exposition and simplified analysis. Solutions of the Einstein equations which are periodic and have standing gravitational waves are valuable approximations to more physically realistic solutions with…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steven Detweiler

We present results from simulations of axisymmetric relativistic rotational core collapse. The general relativistic hydrodynamic equations are formulated in flux-conservative form and solved using a high-resolution shock-capturing scheme.…

天体物理学 · 物理学 2009-11-06 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. W. van Holten

The modeling of gravitational wave ringdown has traditionally relied on linear perturbation theory, which mainly describes the late-time behavior of a perturbed black hole after a binary merger. However, the need for more accurate ringdown…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Macarena Lagos

In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric). Using the Einstein…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Sigbjorn Hervik

The post-Minkowskian limit and gravitational wave solutions for general fourth-order gravity theories are discussed. Specifically, we consider a Lagrangian with a generic function of curvature invariants $f(R,…

广义相对论与量子宇宙学 · 物理学 2015-04-28 A. Stabile , S. Capozziello

We solve the wave equation for gravitational waves emitted by compact objects systems using the Multipolar Post-Minkowskian (MPM) method, and in the presence of Lorentz invariance violating terms. We select a Lorentz-violating extension of…

广义相对论与量子宇宙学 · 物理学 2025-06-13 Samy Aoulad Lafkih , Marie-Christine Angonin , Christophe Le Poncin-Lafitte , Nils A. Nilsson

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behavior of the solutions under the influence of a…

广义相对论与量子宇宙学 · 物理学 2018-08-15 F. A. Silveira , R. F. Sobreiro , A. A. Tomaz

As a first step in exploring time-periodic solutions of the Einstein equations with a negative cosmological constant, we study the cubic conformal wave equation on the Einstein cylinder. Using a combination of numerical and perturbative…

广义相对论与量子宇宙学 · 物理学 2025-08-28 Ficek Filip , Maciej Maliborski

The cosmological background of gravitational waves can be tuned by Extended Theories of Gravity. In particular, it can be shown that assuming a generic function $f(R)$ of the Ricci scalar $R$ gives a parametric approach to control the…

广义相对论与量子宇宙学 · 物理学 2009-02-19 M. De Laurentis , S. Capozziello , L. Izzo

We consider the dynamics of a charged particle interacting with background electromagnetic field under the influence of linearized gravitational waves in the long wave-length and low-velocity limit. Following the prescription in…

广义相对论与量子宇宙学 · 物理学 2012-11-08 Sunandan Gangopadhyay , Anirban Saha

In this work, we consider a gravitational wave interacting with a quantum harmonic oscillator in the transverse-traceless gauge. We take the gravitational wave to be carrying the signatures of both plus and cross polarization at first. We…

高能物理 - 理论 · 物理学 2023-12-19 Soham Sen , Manjari Dutta , Sunandan Gangopadhyay

In axial symmetry, there is a gauge for Einstein equations such that the total mass of the spacetime can be written as a conserved, positive definite, integral on the spacelike slices. This property is expected to play an important role in…

广义相对论与量子宇宙学 · 物理学 2011-02-01 Sergio Dain , Martín Reiris

A quadratic semiclassical theory, regarding the interaction of gravity with a massive scalar quantum field, is considered in view of the renormalizable energy-momentum tensor in a multi-dimensional curved spacetime. According to it, a…

高能物理 - 理论 · 物理学 2009-11-07 K. Kleidis , A. Kuiroukidis , D. B. Papadopoulos

This research is an extension of the author's article \cite{zar}, in which conformally invariant generalization of string theory was suggested to higher-dimensional objects. Special cases of the proposed theory are Einstein's theory of…

广义相对论与量子宇宙学 · 物理学 2014-10-13 Farkhat Zaripov

A non-perturbative quantum field theory of General Relativity is presented which leads to a new realization of the theory of Covariant Quantum-Gravity (CQG-theory). The treatment is founded on the recently-identified Hamiltonian structure…

广义相对论与量子宇宙学 · 物理学 2017-05-24 Claudio Cremaschini , Massimo Tessarotto

We study the plane (not necessarily monochromatic) gravitational waves at nonlinear quadratic order on a flat background in vacuum. We show that, in the harmonic gauge, the nonlinear waves are unstable. We argue that, at this order, this…

广义相对论与量子宇宙学 · 物理学 2017-07-10 Fabio Briscese , Paolo Maria Santini

The detection of gravitational waves has offered us the opportunity to explore the dynamical and strong-field regime of gravity. Because matched filtering is more sensitive to variations in the gravitational waveform phase than the…

广义相对论与量子宇宙学 · 物理学 2020-01-01 Shammi Tahura , Kent Yagi , Zack Carson

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

广义相对论与量子宇宙学 · 物理学 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach