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Building on substantial foundational progress in understanding the effect of a small body's self-field on its own motion, the past 15 years has seen the emergence of several strategies for explicitly computing self-field corrections to the…

广义相对论与量子宇宙学 · 物理学 2021-04-07 Barry Wardell

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

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mohammad Vahid Takook

We present a method for solving the first-order field equations in a post-Newtonian (PN) expansion. Our calculations generalize work of Bini and Damour and subsequently Kavanagh et al., to consider eccentric orbits on a Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2016-02-10 Seth Hopper , Chris Kavanagh , Adrian C. Ottewill

Recent years have seen the first production of "post-adiabatic" gravitational-waveform models based on second-order gravitational self-force theory. These models rely on calculations of an effective source in the perturbative second-order…

广义相对论与量子宇宙学 · 物理学 2026-03-05 Samuel D. Upton , Barry Wardell , Adam Pound , Niels Warburton , Leor Barack

A problem of self-energy and self-force for a charged point-like particle in a higher dimensional homogeneous gravitational field is considered. We study two cases, when a particle has usual electric charge and a case when it has a scalar…

高能物理 - 理论 · 物理学 2015-06-22 Valeri P. Frolov , Andrei Zelnikov

The problem of finding a covariant expression for the distribution and conservation of gravitational energy-momentum dates to the 1910s. A suitably covariant infinite-component localization is displayed, reflecting Bergmann's realization…

广义相对论与量子宇宙学 · 物理学 2014-10-10 J. Brian Pitts

The effect of quantum corrections to a conformally invariant field theory for a self-interacting scalar field on a curved manifold with boundary is considered. The analysis is most easily performed in a space of constant curvature the…

高能物理 - 理论 · 物理学 2009-10-31 George Tsoupros

It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various invariants. For instance, a computation of the…

广义相对论与量子宇宙学 · 物理学 2015-08-12 Nathan K. Johnson-McDaniel , Abhay G. Shah , Bernard F. Whiting

The self field of a charged particle has a component that diverges at the particle. We use both coordinate and covariant approaches to compute an expansion of this singular field for generic geodesic orbits in Schwarzschild spacetime for…

广义相对论与量子宇宙学 · 物理学 2013-11-06 Anna Heffernan , Adrian Ottewill , Barry Wardell

For holographic CFT states near the vacuum, entanglement entropies for spatial subsystems can be expressed perturbatively as an expansion in the one-point functions of local operators dual to light bulk fields. Using the connection between…

高能物理 - 理论 · 物理学 2016-07-20 Matthew J. S. Beach , Jaehoon Lee , Charles Rabideau , Mark Van Raamsdonk

Most self-force calculations rely, in one way or another, on representations of a particle's Detweiler- Whiting singular field. We present a simple method of calculating the singular field to high order in a local expansion in powers of…

广义相对论与量子宇宙学 · 物理学 2024-11-04 Patrick Bourg , Adam Pound , Samuel D. Upton , Rodrigo Panosso Macedo

Based on the construction of the 4-dim noncommutative gravity model described in our previous work, first, a more extended description of the covariant noncommutative space (fuzzy 4-dim de Sitter space), which accommodates the gravity…

高能物理 - 理论 · 物理学 2021-09-22 G. Manolakos , P. Manousselis , G. Zoupanos

We investigate puncture statistics based on the covariant area spectrum in loop quantum gravity. First, we consider Maxwell-Boltzmann statistics with a Gibbs factor for punctures. We establish formulae which relate physical quantities such…

高能物理 - 理论 · 物理学 2016-08-24 Takashi Tamaki

A small extended body moving through an external spacetime $g_{\alpha\beta}$ creates a metric perturbation $h_{\alpha\beta}$, which forces the body away from geodesic motion in $g_{\alpha\beta}$. The foundations of this effect, called the…

广义相对论与量子宇宙学 · 物理学 2012-10-05 Adam Pound

A program searching for symmetry structures behind some features of the standard Model is launched. After addressing known no-go theorems, we construct a novel symmetry mixing gauge and Higgs fields which is a Lorentz symmetry extension…

高能物理 - 理论 · 物理学 2024-01-24 Luis Alberto Wills-Toro

The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulation is sufficient to describe the motion of a small object…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Peter Zimmerman , Eric Poisson

In this series we construct an effective field theory (EFT) in curved spacetime to study gravitational radiation and backreaction effects. We begin in this paper with a derivation of the self-force on a compact object moving in the…

广义相对论与量子宇宙学 · 物理学 2009-03-12 Chad R. Galley , B. L. Hu

Series expansions of isotropic Gaussian random fields on $\mathbb{S}^2$ with independent Gaussian coefficients and localized basis functions are constructed. Such representations with multilevel localised structure provide an alternative to…

概率论 · 数学 2022-06-27 Markus Bachmayr , Ana Djurdjevac

The extension of nonlinear higher-spin equations in d=4 proposed in [arXiv:1504.07289] for the construction of invariant functional is shown to respect local Lorentz symmetry. The equations are rewritten in a manifestly Lorentz covariant…

高能物理 - 理论 · 物理学 2018-07-31 V. E. Didenko , N. G. Misuna , M. A. Vasiliev