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Angular momentum at null infinity has a supertranslation ambiguity from the lack of a preferred Poincar\'e group and a similar ambiguity when the center-of-mass position changes as linear momentum is radiated. Recently, we noted there is an…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Geoffrey Compère , David A. Nichols

We argue that already at classical level the energy-momentum tensor for a scalar field on manifolds with boundaries in addition to the bulk part contains a contribution located on the boundary. Using the standard variational procedure for…

High Energy Physics - Theory · Physics 2009-11-10 Aram A. Saharian

The conserved quantities, that are, gravitational energy-momentum and its relevant quantities are investigated for cylindrical and spherical gravitational waves in the framework of teleparallel equivalent of General Relativity using the…

General Relativity and Quantum Cosmology · Physics 2010-03-04 M. Sharif , Sumaira Taj

Within the Lagrange formalism we show that the gauge invariant total energy-momentum tensor for gravitational interactions is zero. If the equations of motion are satisfied the energy tensor is conserved.

Mathematical Physics · Physics 2007-05-23 Walter Wyss

We use the idea of the symmetry between the spacetime coordinates x^\mu and the energy-momentum p^\mu in quantum theory to construct a momentum space quantum gravity geometry with a metric s_{\mu\nu} and a curvature P^\lambda_{\mu\nu\rho}.…

General Relativity and Quantum Cosmology · Physics 2016-03-08 J. W. Moffat

A method for interpreting discontinuities of the twist potential of vacuum stationary axisymmetric solutions of Einstein's equations is introduced. Surface densities for the angular momentum of the source can be constructed after solving a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. Fernandez-Jambrina , F. J. Chinea

The two-body t-matrix is calculated directly as function of two vector momenta for different Malfliet-Tjon type potentials. At a few hundred MeV projectile energy the total amplitude is quite a smooth function showing only a strong peak in…

Nuclear Theory · Physics 2019-08-17 Ch. Elster , J. H. Thomas , W. Gloeckle

Our new formulation of the Spherical Collapse Model (SCM-L) takes into account the presence of angular momentum associated with the motion of galaxy groups infalling towards the centre of galaxy clusters. The angular momentum is responsible…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-30 Guido Cupani , Marino Mezzetti , Fabio Mardirossian

To answer a question of how can one observed angular momentum radiation near null infinity, one can first transform the dynamical twisting vacuum solution and make it satisfy Bondi coordinate conditions in the asymptotical region of the…

General Relativity and Quantum Cosmology · Physics 2013-10-17 Chih-Hung Wang , Yu-Huei Wu

We investigate the conservation law of energy-momentum in teleparallel gravity by using general Noether theorem. The energy-momentum current has also superpotential and is therefore identically conserved. The total energy-momentum, which…

General Relativity and Quantum Cosmology · Physics 2007-08-27 Yu-Xiao Liu , Zhen-Hua Zhao , Jie Yang , Yi-Shi Duan

We calculate the total energy of an exact spherically symmetric solutions, i.e., Schwarzschild and Reissner Nordstr$\ddot{o}$m, using the gravitational energy-momentum 3-form within the tetrad formulation of general relativity. We explain…

General Relativity and Quantum Cosmology · Physics 2014-11-20 G. G. L. Nashed

Invoking Maxwell's classical electrodynamics in conjunction with expressions for the electromagnetic (EM) energy, momentum, force, and torque, we use a few simple examples to demonstrate the nature of linear and angular momentum exchange…

Optics · Physics 2018-09-17 Masud Mansuripur

The Hamiltonian formulation of the teleparallel equivalent of general relativity without gauge fixing has recently been established in terms of the Hamiltonian constraint and a set of six primary constraints. Altogether, they constitute a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Maluf , J. F. da Rocha-Neto , T. M. Toribio , K. H. Castello-Branco

The flux of angular momentum of electromagnetic field of an arbitrarily moving point charge is investigated. General equations are obtained for the transfer of angular momentum at arbitrary distance from the charge, and corresponding…

Classical Physics · Physics 2022-02-17 Vladimir Epp , Ulyana Guselnikova , Irina Kamenskaya

We study properties of particles with zero or negative energy and a nonzero orbital angular momentum in the ergosphere of a rotating black hole. We show that the sign of the particle energy is uniquely determined by the angular velocity of…

General Relativity and Quantum Cosmology · Physics 2017-04-13 A. A. Grib , Yu. V. Pavlov

Charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation is derived. The metric associated with this solution is an axially symmetric metric which is characterized by…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Gamal G. L. Nashed

We show that the spectrum of orbital angular momentum in quantum mechanics consists of two parts when the underlying space has periodic boundaries. While the first part consists of the usual textbook integer quantized values, the second is…

Quantum Physics · Physics 2025-06-05 Daniel Burgarth , Paolo Facchi

The energy and momentum for different cosmological models using various prescriptions are evaluated. In particular, we have focused our attention on the energy and momentum for gravitational waves and discuss the results. It is concluded…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Sharif

Complex and spinorial techniques of general relativity are used to determine all the states of the $SU(2)$ invariant quantum mechanical systems in which the equality holds in the uncertainty relations for the components of the angular…

General Relativity and Quantum Cosmology · Physics 2023-03-10 László B. Szabados

A strengthened canonical quantization scheme for the constrained motion on a curved hypersurface is proposed with introduction of the second category of fundamental commutation relations between Hamiltonian and positions/momenta, whereas…

Quantum Physics · Physics 2014-10-07 Q. H. Liu