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We formulate a spherical harmonically decomposed 1+1 scheme to self-consistently evolve the trajectory of a point particle and its gravitational metric perturbation to a Schwarzschild background spacetime. Following the work of Moncrief, we…

广义相对论与量子宇宙学 · 物理学 2014-05-28 Huan Yang , Haixing Miao , Yanbei Chen

In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analog of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related…

广义相对论与量子宇宙学 · 物理学 2011-07-19 V. C. de Andrade , J. G. Pereira

We give the governing equations for multiple scalar fields in a flat Friedmann-Robertson-Walker (FRW) background spacetime on all scales, allowing for metric and field perturbations up to second order. We then derive the Klein-Gordon…

天体物理学 · 物理学 2010-10-27 Karim A. Malik

A technique to linearize gravitational field equations is developed in which the perturbation metric coefficients are treated as second rank, symmetric, 1-form fields belonging to the Minkowski background spacetime by using the exterior…

广义相对论与量子宇宙学 · 物理学 2017-01-30 Ahmet Baykal , Tekin Dereli

We analyze the issue of ``particle motion'' in general relativity in a systematic and rigorous way by considering a one-parameter family of metrics corresponding to having a body (or black hole) that is ``scaled down'' to zero size and mass…

广义相对论与量子宇宙学 · 物理学 2009-07-03 Samuel E. Gralla , Robert M. Wald

This is a general work on gravitational lensing. We present new expressions for the optical scalars and the deflection angle in terms of the energy-momentum tensor components of matter distributions. Our work generalizes standard references…

广义相对论与量子宇宙学 · 物理学 2011-05-12 Emanuel Gallo , Osvaldo M. Moreschi

In this paper, we systematically study gravitational waves (GWs) produced by remote compact astrophysical sources. To describe such GWs properly, we introduce three scales, $\lambda, \; L_c$ and $L$, denoting, respectively, the typical…

宇宙学与河外天体物理 · 物理学 2021-06-30 Jared Fier , Xiongjun Fang , Bowen Li , Shinji Mukohyama , Anzhong Wang , Tao Zhu

We calculate the unregularized monopole and dipole contributions to the self-force acting on a particle of small mass in a circular orbit around a Schwarzschild black hole. From a self-force point of view, these non-radiating modes are as…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Steve Detweiler , Eric Poisson

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a controlled series expansion that can in principle be extended…

高能物理 - 理论 · 物理学 2025-11-03 Giacomo Brunello , Vsevolod Chestnov , Giulio Crisanti , Mathieu Giroux , Sid Smith

In this paper, we study the properties of gravitational waves in the scalar-tensor-vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that…

广义相对论与量子宇宙学 · 物理学 2019-12-19 Yunqi Liu , Wei-Liang Qian , Yungui Gong , Bin Wang

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical…

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

Within the next decade the Laser Interferometer Space Antenna (LISA) is due to be launched, providing the opportunity to extract physics from stellar objects and systems, such as \textit{Extreme Mass Ratio Inspirals}, (EMRIs) otherwise…

广义相对论与量子宇宙学 · 物理学 2023-11-07 Lidia J. Gomes Da Silva , Rodrigo Panosso Macedo , Jonathan E. Thompson , Juan A. Valiente Kroon , Leanne Durkan , Oliver Long

The gravitational self-force (GSF) and post-Newtonian (PN) schemes are complementary approximation methods for modelling the dynamics of compact binary systems. Comparison of their results in an overlapping domain of validity provides a…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Sarp Akcay , Alexandre Le Tiec , Leor Barack , Norichika Sago , Niels Warburton

Accurate gravity field calculations are necessary for landing on planets, moons, asteroids, minimoons, or other irregularly shaped bodies, but current methods become increasingly inaccurate and slow near the surface. We present high…

地球与行星天体物理 · 物理学 2024-11-26 Thomas MacLean , Alan H. Barr

We study the effect of the slab topology $T\times R\times R$ of the Universe on the form of gravitational potentials and forces created by point-like masses. We obtain two alternative forms of solutions: one is based on the Fourier series…

广义相对论与量子宇宙学 · 物理学 2021-12-30 M. Eingorn , N. O'Briant , K. Arzu , M. Brilenkov , A. Zhuk

We propose a new metric perturbation scheme under a possible constraint of the gauge conditions in which we obtain a physically expected prediction of the orbital evolution caused by the MiSaTaQuWa self-force. In this new scheme of a metric…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Yasushi Mino

Using a rigorous method of matched asymptotic expansions, I derive the equation of motion of a small, compact body in an external vacuum spacetime through second order in the body's mass (neglecting effects of internal structure). The…

广义相对论与量子宇宙学 · 物理学 2012-09-05 Adam Pound

This is the second in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

广义相对论与量子宇宙学 · 物理学 2011-10-06 Sam R. Dolan , Barry Wardell , Leor Barack

We investigate static cylindrical solutions within an extended theory of modified gravity. By incorporating various coupling functions through a straightforward boost symmetry approach, we establish the equations of motion in a…

广义相对论与量子宇宙学 · 物理学 2024-07-31 Davood Momeni , Phongpichit Channuie , Mudhahir Al-Ajmi

A point particle of small mass m moves in free fall through a background vacuum spacetime metric g_ab and creates a first-order metric perturbation h^1ret_ab that diverges at the particle. Elementary expressions are known for the singular…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Steven Detweiler