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Using effective field theory methods, we derive the Carrollian analog of the geodesic action. We find that it contains both `electric' and `magnetic' contributions that are in general coupled to each other. The equations of motion…

高能物理 - 理论 · 物理学 2023-11-16 Luca Ciambelli , Daniel Grumiller

An attempt is made to describe the general-relativistic equations of motion for the Schwarzschild geometry in terms of the classical concepts of energy and angular momentum. Using the customary terms the geodesic equations can be viewed in…

综合物理 · 物理学 2012-05-15 Y. G. Yi

Acoustic black hole is becoming an attractive topic in recent years, for it open-up new direction for experimental / observational explorations of black holes. In this work, the gravitational bending of acoustic Schwarzschild black hole is…

广义相对论与量子宇宙学 · 物理学 2023-04-11 Chen-Kai Qiao , Mi Zhou

The theory of Schwarzschild geodesics is revisited. Basing on a result by Weierstrass and Biermann, we derive a formula describing all non radial, timelike and null trajectories in terms of Weierstrass elliptic functions. Quite remarkably,…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Adam Cieślik , Patryk Mach

We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy…

广义相对论与量子宇宙学 · 物理学 2024-11-26 Sinya Aoki , Jorge Ovalle

Quantization of the gravitational field may allow the existence of a decay channel of black holes into white holes with an explicit time-reversal symmetry. The definition of a meaningful decay probability for this channel is studied in…

广义相对论与量子宇宙学 · 物理学 2017-04-25 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

We provide expansions of the Detweiler-Whiting singular field for motion along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We transcribe these results into mode-sum regularization parameters, computing previously…

广义相对论与量子宇宙学 · 物理学 2022-09-28 Anna Heffernan , Adrian C. Ottewill , Niels Warburton , Barry Wardell , Peter Diener

The extreme Schwarzschild-de Sitter space-time is a spherically symmetric solution of Einstein's equations with a cosmological constant Lambda and mass parameter m>0 which is characterized by the condition that 9 Lambda m^2=1. The global…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Podolsky

The low-energy dynamics of any system admitting a continuum of static configurations is approximated by slow motion in moduli (configuration) space. Here, following Ferrell and Eardley, this moduli space approximation is utilized to study…

广义相对论与量子宇宙学 · 物理学 2017-10-04 Joan Camps , Shahar Hadar , Nicholas S. Manton

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

广义相对论与量子宇宙学 · 物理学 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

广义相对论与量子宇宙学 · 物理学 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

广义相对论与量子宇宙学 · 物理学 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

A unified equation is employed to analytically investigate the scattering of massless spin particles by a Schwarzschild-type medium black hole. It is found that for spin particles, curved spacetime induces an effective complex potential…

广义相对论与量子宇宙学 · 物理学 2025-12-29 Zhong-Heng Li

In this research note we introduce a new approximation of photon geodesics in Schwarzschild spacetime which is especially useful to describe highly bent trajectories, for which the angle between the initial emission position and the line of…

广义相对论与量子宇宙学 · 物理学 2019-07-30 Riccardo La Placa , Pavel Bakala , Luigi Stella , Maurizio Falanga

We examine whether the Schwarzschild black hole can emerge as the continuous end state of gravitational collapse from a non-singular configuration. Employing a time dependent extension of the regular Schwarzschild metric, we track the…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Jorge Ovalle , Roberto Casadio , Alexander Kamenshchik

We extend the gravitational self-force approach to encompass `self-interaction' tidal effects for a compact body of mass $\mu$ on a quasi-circular orbit around a black hole of mass $M \gg \mu$. Specifically, we define and calculate at…

广义相对论与量子宇宙学 · 物理学 2015-01-27 Sam R. Dolan , Patrick Nolan , Adrian C. Ottewill , Niels Warburton , Barry Wardell

We study the geodesic structure of a $z=2$ Lifshitz black hole in 3+1 spacetime dimensions that is an exact solution to the Einstein-scalar-Maxwell theory. We investigate the motion of massless and massive particles in this background using…

广义相对论与量子宇宙学 · 物理学 2014-06-20 Marco Olivares , Yerko Vásquez , J. R. Villanueva , Felipe Moncada

We show that Schwarzschild black hole binaries can undergo dynamical scalarization (DS) in the inspiral phase, in a subclass of $\mathbb{Z}_2$-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) theories of gravity. The mechanism is analogous to…

广义相对论与量子宇宙学 · 物理学 2023-12-29 Félix-Louis Julié

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 numerically study a formation of near extremal horizons from a gravitational collapse of radially symmetric gravitational waves in $4+1$ dimensions within the framework of pure Einstein gravity with positive cosmological constant.…

广义相对论与量子宇宙学 · 物理学 2026-05-04 Maciej Dunajski , Sebastian J. Szybka