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Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is…

广义相对论与量子宇宙学 · 物理学 2024-01-26 Adam Pound , Barry Wardell

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

广义相对论与量子宇宙学 · 物理学 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy…

广义相对论与量子宇宙学 · 物理学 2015-02-04 Niels Warburton

Gravitational coupling of the propagation four-vectors of matter wave functions is formulated in flat space-time. Coupling at the momentum level rather than at the "force-law" level greatly simplifies many calculations. This locally…

广义相对论与量子宇宙学 · 物理学 2015-03-18 Carver Mead

[Abridged] This review surveys the theory of gravitational self-force in curved spacetime and its application to the gravitational two-body problem in the extreme-mass-ratio regime. We first lay the relevant formal foundation, describing…

广义相对论与量子宇宙学 · 物理学 2018-12-26 Leor Barack , Adam Pound

Scalar Induced Gravitational Waves (SIGW) are generated at second order in perturbation theory and to achieve observational relevance, inflationary dynamics must evade the standard slow-roll scenario at small scales, generating large…

宇宙学与河外天体物理 · 物理学 2026-05-27 Giovanni Piccoli

We present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Romy Hanang Setya Budhi

In this work we introduced a new proposal to study the gravitational lensing theory by spherical lenses, starting from its surface mass density $\Sigma(x)$ written in terms of a decreasing function $f$ of a dimensionless coordinate $x$ on…

宇宙学与河外天体物理 · 物理学 2014-07-21 Roger Hurtado , Leonardo Castaneda , Juan M. Tejeiro

We investigate the gravitational waves phenomena in the geometric scalar theory of gravity (GSG) that belongs to a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the…

广义相对论与量子宇宙学 · 物理学 2019-05-16 J. D. Toniato , M. Novello

When considering how self-interaction affects an object's motion, it can be convenient to decompose the self-force into conservative and dissipative pieces. As a toy model for understanding such decompositions of the gravitational…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Francisco M. Blanco , Eanna E. Flanagan , Abraham I. Harte

Unlike scalar and gauge field theories in four dimensions, gravity is not perturbatively renormalizable and as a result perturbation theory is badly divergent. Often the method of choice for investigating nonperturbative effects has been…

高能物理 - 理论 · 物理学 2021-01-12 Herbert W. Hamber , Lu Heng Sunny Yu

The gravitational field of a particle of small mass \mu moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through O(\mu). One part is an inhomogeneous field…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steven Detweiler , Bernard F. Whiting

This paper discusses the gauge issue touching the gravitational waves induced at the second order by the scalar modes of cosmological perturbations. These waves are known to depend on the gauge used for their calculation. In this paper, we…

广义相对论与量子宇宙学 · 物理学 2023-09-27 Vincent Comeau

In this paper, the gauge choices in general spherically symmetric spacetimes have been explored. We construct the gauge invariant variables and the master equations for both the Detweiler easy gauge and the Regge-Wheeler gauge,…

广义相对论与量子宇宙学 · 物理学 2022-10-20 Wentao Liu , Xiongjun Fang , Jiliang Jing , Anzhong Wang

In this paper we study the gravitational lensing effect for the Schwarzschild solution with holonomy corrections. We use two types of approximation methods to calculate the deflection angle, namely the weak and strong field limits. For the…

广义相对论与量子宇宙学 · 物理学 2024-01-10 Ednaldo L. B. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues , Henrique A. Vieira

We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified…

广义相对论与量子宇宙学 · 物理学 2024-11-14 Jing-Zhi Zhou , Yu-Ting Kuang , Di Wu , Fei-Yu Chen , H. Lü , Zhe Chang

We derive a formalism for solving the Lorenz gauge equations for metric perturbations of Kerr spacetime sourced by an arbitrary stress-energy tensor. The metric perturbation is obtained as a sum of differential operators acting on a set of…

广义相对论与量子宇宙学 · 物理学 2025-11-20 Barry Wardell , Chris Kavanagh , Sam R. Dolan

Investigating the evolution of disk galaxies and the dynamics of proto-stellar disks can involve the use of both a hydrodynamical and a Poisson solver. These systems are usually approximated as infinitesimally thin disks using two-…

天体物理仪器与方法 · 物理学 2015-10-14 Hsiang-Hsu Wang , David C. C. Yen , Ronald E. Taam

A tensor-type cosmological perturbation, defined as a transverse and traceless spatial fluctuation, is often interpreted as the gravitational waves. While decoupled from the scalar-type perturbations in linear order, the tensor…

宇宙学与河外天体物理 · 物理学 2017-06-28 Jai-chan Hwang , Donghui Jeong , Hyerim Noh

A stress-energy tensor for linear gravity adapted to the harmonic gauge was recently proposed by Butcher, Hobson and Lasenby. By removing gauge constraints and imposing full metrical GR, we find a natural generalisation to the pseudotensor…

广义相对论与量子宇宙学 · 物理学 2020-03-06 William E V Barker , Anthony N Lasenby , Michael P Hobson , William J Handley