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Related papers: Classical potential for general spinning bodies

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The low energy scattering of gravitons from a composite extended system, which is made of classical massive bodies, is considered; by using the Feynman rules of effective quantum gravity, the corresponding cross-section is computed to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Guadagnini

By using various properties of the complete elliptic integrals, we have derived an alternative expression for the gravitational potential of axially symmetric bodies, which is free of singular kernel in contrast with the classical form.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 A. Trova , J. M. Huré , F. Hersant

We give a formulation of quantum ergodicity for Pauli Hamiltonians with arbitrary spin in terms of a Wigner-Weyl calculus. The corresponding classical phase space is the direct product of the phase space of the translational degrees of…

Chaotic Dynamics · Physics 2009-11-07 Jens Bolte , Rainer Glaser , Stefan Keppeler

In this thesis, I will study the classical scattering problem of two Kerr black holes in general relativity with novel quantum field theory techniques in the Post-Minkowskian (PM) expansion, generalizing the subleading soft theorem to the…

High Energy Physics - Theory · Physics 2024-12-04 Damiano Barcaro

Consistent coupling of quantum and classical degrees of freedom exists so long as there is both diffusion of the classical degrees of freedom and decoherence of the quantum system. In this paper, we derive the Newtonian limit of such…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Isaac Layton , Jonathan Oppenheim , Andrea Russo , Zachary Weller-Davies

Using the gravitational potential and source multipole moments bilinear in the spins, first computed to next-to-leading order (NLO) in the post-Newtonian (PN) expansion within the effective field theory (EFT) framework, we complete here the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Gihyuk Cho , Brian Pardo , Rafael A. Porto

We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force.…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Mario Goto , Paulo Laerte Natti , Erica Regina Takano Natti

Loop corrections to the gravitational potential are usually inferred from scattering amplitudes, which seems quite different from how the linearized Einstein equations are solved with a static, point mass to give the classical potential. In…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Sohyun Park , R. P. Woodard

We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described…

High Energy Physics - Theory · Physics 2023-03-01 Callum R. T. Jones , Mikhail Solon

An example of mechanical system whose configuration space is direct product of a curved space and the local group of rotations, is presented. The system is considered as a model of spinning particle moving in the space. The Hamiltonian…

dg-ga · Mathematics 2008-02-03 Z. Ya Turakulov

We derive the metric of a circular chiral vorton in the weak field limit. The object is self-supporting by means of its chiral current. A conical singularity with deficit angle, identical to that of straight string with the same linear mass…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Leonardus B. Putra , H. S. Ramadhan

The gravitational couplings of intrinsic spin are briefly reviewed. A consequence of the Dirac equation in the exterior gravitational field of a rotating mass is considered in detail, namely, the difference in the energy of a spin-1/2…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bahram Mashhoon

We continue to investigate correspondences between, on the one hand, scattering amplitudes for massive higher-spin particles and gravitons in appropriate quantum-to-classical limits, and on the other hand, classical gravitational…

High Energy Physics - Theory · Physics 2023-06-08 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

The next-to-next-to-leading order spin-squared interaction potential for generic compact binaries is derived for the first time via the effective field theory for gravitating spinning objects in the post-Newtonian scheme. The spin-squared…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Michèle Levi , Jan Steinhoff

We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing…

High Energy Physics - Theory · Physics 2023-08-02 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

Based on the conserved Hamiltonian for a test particle, we have formulated a Newtonian analogue of Kerr spacetime in the `low energy limit of the test particle motion' that, in principle, can be comprehensively used to describe general…

High Energy Astrophysical Phenomena · Physics 2014-11-11 Shubhrangshu Ghosh , Tamal Sarkar , Arunava Bhadra

In this paper, we investigate the motion of a classical spinning test particle orbiting around a static spherically symmetric black hole in a novel four-dimensional Einstein-Gauss-Bonnet gravity [D. Glavan and C. Lin, Phys. Rev. Lett. 124,…

General Relativity and Quantum Cosmology · Physics 2022-05-02 Yu-Peng Zhang , Shao-Wen Wei , Yu-Xiao Liu

We consider a statistical mechanics of rotating ideal gas consisting of classical non-relativistic spinning particles. The microscopic structure elements of the system are massive point particles with a nonzero proper angular momentum. The…

Statistical Mechanics · Physics 2022-09-28 M. A. Bubenchikov , D. S. Kaparulin , O. D. Nosyrev

Starting with the conceptual foundation of general relativity (GR) - equivalence principle, space-time geometry and special relativity, I train cross hairs on two characteristic predictions of GR - black holes and gravitational waves. These…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Patrick Das Gupta

We derive the exact form of effective potential in Kerr geometry from the general relativistic radial momentum equation. The effective potential accurately mimics the general relativistic features, over the entire range of the spin…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Abhrajit Bhattacharjee , Sandip K. Chakrabarti