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The Doppler shift considered in general relativity involves mixed contributions of distinct, gravitational and kinematical origins and for most metrics or trajectories it takes a complex form. The expression for the Doppler shift may…

广义相对论与量子宇宙学 · 物理学 2008-11-26 A. Radosz , A. T. Augousti , K. Ostasiewicz

The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth…

广义相对论与量子宇宙学 · 物理学 2020-07-27 Zonghai Li , Xia Zhou , Weijun Li , Guansheng He

Gravitation lensing calculations, which are generally done for light ray, are extended to that for a massive particle. Many interesting results were observed. We discuss the scattering cross section along-with many consequential quantities…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Nikhil J. Joshi

The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global energy-momentum conservation. In this paper…

高能物理 - 理论 · 物理学 2014-06-11 Freddy Cachazo , Andrew Strominger

We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with mass $m$ orbiting in the background spacetime induced by a heavy gravitational source with mass $M$. Observables are organized as an…

高能物理 - 理论 · 物理学 2024-04-02 Dimitrios Kosmopoulos , Mikhail P. Solon

We consider the scattering of gravitational waves off a Schwarzschild black hole in $f(R)$ gravity. We show that the reflection and transmission coefficients for tensor waves are the same as in General Relativity. While the scalar waves,…

广义相对论与量子宇宙学 · 物理学 2017-09-13 Dan B. Sibandze , Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki , Peter K. S. Dunsby

We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

广义相对论与量子宇宙学 · 物理学 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

广义相对论与量子宇宙学 · 物理学 2019-11-13 Plamen P. Fiziev

Upper limits for the mass-radius ratio are derived for arbitrary general relativistic matter distributions in the presence of a cosmological constant. General restrictions for the red shift and total energy (including the gravitational…

广义相对论与量子宇宙学 · 物理学 2012-08-27 M. K. Mak , Peter N. Dobson, , T. Harko

We calculate the gravitational self force acting on a pointlike particle of mass $\mu$, set in a circular geodesic orbit around a Schwarzschild black hole. Our calculation is done in the Lorenz gauge: For given orbital radius, we first…

广义相对论与量子宇宙学 · 物理学 2010-08-30 Leor Barack , Norichika Sago

In Poincar\'e gauge theory of gravity and in $\overline{\mbox{Poincar\'e}}$ gauge theory of gravity, we give the necessary and sufficient condition in order that the Schwarzschild space-time expressed in terms of the Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Toshiharu Kawai , Eisaku Sakane , Takashi Tojo

Localized scattering phenomena may result in the formation of stationary matter waves originating from a compact region in physical space. Mathematically, such waves are advantageously expressed in terms of quantum sources that are…

量子物理 · 物理学 2007-05-23 Tobias Kramer , Christian Bracher , Manfred Kleber

We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach. We will show that the existing decay results for the…

广义相对论与量子宇宙学 · 物理学 2023-07-26 Pham Truong Xuan

We investigate the scattering of gravitino wave in a Schwarzschild gravitational field. Employing the simulating wave function method within the framework of perturbative techniques, we derive the differential scattering cross section for…

广义相对论与量子宇宙学 · 物理学 2025-11-12 Yikang Xiao , Wenbin Lin

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two…

广义相对论与量子宇宙学 · 物理学 2018-01-08 V. Sai sumith Reddy

We explore a theory of large-scale gravitational quantization, using the general relativistic Hamilton-Jacobi equation to create quantization conditions via a new scalar wave equation dependent upon the total mass and the total vector…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Howard G. Preston , Franklin Potter

Scale dependence of fundamental physical parameters is a generic feature of ordinary quantum field theory. When applied to gravity, this idea produces effective actions generically containing a running Newtonian coupling constant, from…

广义相对论与量子宇宙学 · 物理学 2023-05-03 Fabio Scardigli , Gaetano Lambiase

We extract the relativistic classical radial action from scattering amplitudes, to all orders in perturbation theory, in the probe limit. Our sources include point charges and monopoles, as well as the Schwarzschild and pure-NUT…

高能物理 - 理论 · 物理学 2023-12-29 Uri Kol , Donal O'connell , Ofri Telem

In symmetric teleparallel gravities, where the independent connection is characterized by nonmetricity while curvature and torsion are zero, it is possible to find a coordinate system whereby the connection vanishes globally and covariant…

广义相对论与量子宇宙学 · 物理学 2022-11-01 Sebastian Bahamonde , Laur Järv

We explicitly compute the tree-level on-shell four-graviton amplitudes in four, five and six dimensions for local and weakly nonlocal gravitational theories that are quadratic in both, the Ricci and scalar curvature with form factors of the…

高能物理 - 理论 · 物理学 2015-09-30 Pietro Donà , Stefano Giaccari , Leonardo Modesto , Leslaw Rachwal , Yiwei Zhu