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Twistors appear to provide a satisfactory treatment of angular momentum for gravitationally radiating systems. The approach is manifestly Bondi-Metzner-Sachs (BMS) invariant, and there are no supertranslation ambiguities. The resulting…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Adam D. Helfer

In this letter, we review the well known ambiguity in defining angular momentum (and mass dipole) fluxes in general relativity and we reinterpret recent works that resolve the ambiguity by defining invariant charges. We resolve the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Reza Javadinezhad , Massimo Porrati

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 discuss correspondence between the predictions of quantum theories for rotation angle formulated in infinite and finite dimensional Hilbert spaces, taking as example, the calculation of matrix elements of phase-angular momentum…

Quantum Physics · Physics 2007-05-23 Ramandeep S. Johal

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 present generalized expressions to calculate the orbital angular momentum for invariant beams using scalars potentials. The solutions can be separated into transversal electric TE, transversal magnetic TM and transversal electromagnetic…

Optics · Physics 2020-08-11 Irving Rondon , Francisco Soto-Eguibar

We compute the motions of null infinity to which the components of the angular momentum of the gravitational field, as defined by Penrose, are conjugate. We find that the boosts are supplemented by anomalous translations. If $c_{ab}$ is the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Adam D. Helfer

The angular momentum radiated in gravitational scattering can be changed by performing a supertranslation of the asymptotic metric, i.e. by adding radiation with infinite wavelenght to the metric. This puzzling property can be avoided by…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Reza Javadinezhad , Massimo Porrati

In relativistic physics, angular momentum is paired with a lesser known conserved quantity, the "mass moment", which appears as the time-space components of the angular momentum tensor. Calculations of mass moment in electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Samuel E. Gralla , Kunal Lobo , Hongji Wei

We find the rules of the conformal transformation for the energetic quantities such as the Einstein energy-momentum complex, the Bergmann-Thomson angular momentum complex, the superenergy tensor, and the angular supermomentum tensor of…

High Energy Physics - Theory · Physics 2011-11-10 Mariusz P. Dabrowski , Janusz Garecki

Angular momentum has recently been defined as a surface integral involving an axial vector and a twist 1-form, which measures the twisting around of space-time due to a rotating mass. The axial vector is chosen to be a transverse,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

The purpose of this note is to point out ambiguities that appear in the calculation of angular momentum and its radiated counterpart when some simple formulae are used to compute them. We illustrate, in two simple different examples, how…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emanuel Gallo , Luis Lehner , Osvaldo M. Moreschi

The angular momentum of radiation from an arbitrarily moving relativistic charge is studied. The angular momentum is presented as the sum of the angular momentum relative to the point where the charge is located at a retarded moment of time…

Classical Physics · Physics 2024-08-27 Vladimir Epp , Ulyana Guselnikova , Julia Janz

Dray and Streubel proposed a definition of angular momentum in general relativity based on `Bondi-Metzner-Sachs (BMS) charges'. I show here that the natural definition of center of mass in this program has an infinite-dimensional ambiguity.…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Adam D. Helfer

We present a simple formula for the radiated angular momentum based on a spin-weighted spherical harmonic decomposition of the Weyl scalar psi_4 representing outgoing radiation in the Kinnersley tetrad. We test our formula by measuring the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Yosef Zlochower

We derive the strange quark transverse momentum distribution for the $% b\to s\gamma $ decay. A resummed formula is presented showing the singularity structure in the impact parameter $b$. We observe the appearance of a new next-to-leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roberto Sghedoni

We model a circular mass-transferring binary system to calculate the exchange of angular momentum between stellar spins and the orbit due to direct impact of the mass transfer stream onto the surface of the accretor. We simulate mass…

Solar and Stellar Astrophysics · Physics 2015-05-19 Jeremy F. Sepinsky , Bart Willems , Vassiliki Kalogera , Frederic A. Rasio

We explain the origin of the controversy about the existence of a transverse angular momentum sum rule, and show that it stems from utilizing an incorrect result in the literature, concerning the expression for the expectation values of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Elliot Leader

The conformability of angular observales (angular momentum and azimuthal angle) with the mathematical rules of quantum mechanics is a question which still rouses debates. It is valued negatively within the existing approaches which are…

Quantum Physics · Physics 2007-05-23 S. Dumitru

The symmetries of asymptotically flat spacetimes in general relativity are given by the Bondi-Metzner-Sachs (BMS) group, though there are proposed generalizations of its symmetry algebra. Associated with each symmetry is a charge and a…

General Relativity and Quantum Cosmology · Physics 2021-09-28 Arwa Elhashash , David A. Nichols
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