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In Dirac's canonical quantization theory on systems with second-class constraints, the commutators between the position, momentum and Hamiltonian form a set of algebraic relations that are fundamental in construction of both the quantum…

Quantum Physics · Physics 2015-05-30 Q. H. Liu , L. H. Tang , D. M. Xun

We derive the expressions for canonical energy, momentum, and angular momentum for multiple metric theories. We prove that although the metric fields are generally interacting, the total energy is the sum of conserved energies corresponding…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Idan Talshir

In a previous article [Phys. Rev. D 82 104040 (2010)], we derived an energy-momentum tensor for linear gravity that exhibited positive energy density and causal energy flux. Here we extend this framework by localizing the angular momentum…

General Relativity and Quantum Cosmology · Physics 2012-10-03 Luke M. Butcher , Anthony Lasenby , Michael Hobson

In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and non null nonmetricity…

Mathematical Physics · Physics 2014-11-20 E. A. Notte-Cuello , R. da Rocha , W. A. Rodrigues

The velocity basis of the Poincare group is used in the direct product space of two irreducible unitary representations of the Poincare group. The velocity basis with total angular momentum j will be used for the definition of relativistic…

High Energy Physics - Theory · Physics 2008-11-26 A. Bohm , H. Kaldass

We investigate equatorial geodesics in the gravitational field of a rotating and deformed source described by the approximate Hartle-Thorne metric. In the case of massive particles, we derive within the same approximation analytic…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Kuantay Boshkayev , Hernando Quevedo , Marzhan Abutalip , Zhanerke Kalymova , Sharara Suleymanova

Optical intrinsic angular momentum can be regarded as derivation from spatial superposition of optical vector fields embodied by spinning or and spiraling the electric field vector. We employ vectorial formulation derivation to…

Optics · Physics 2019-12-10 Liang Fang , Jian Wang

In the paper we consider the energy and its flux in the Bonnor spacetime. We construct some non-local expressions from the Einstein canonical energy-momentum pseudotensor of the gravitational field which show that the gravitational energy…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Janusz Garecki

We give a fully covariant energy momentum stress tensor for the gravitational field which is easily physically motivated, and which leads to a very general derivation of the Einstein equation for gravity. We do not need to assume any…

General Relativity and Quantum Cosmology · Physics 2009-03-31 Maurice J. Dupré

We introduce a naturally-defined totally invariant spacetime energy expression for general relativity incorporating the contribution from gravity. The extension links seamlessly to the action integral for the gravitational field. The demand…

General Relativity and Quantum Cosmology · Physics 2015-05-13 F. I. Cooperstock , M. J. Dupre

We derive the balance equation for the Favre averaged angular momentum in toroidal not necessarily axisymmetric magnetic field equilibria. We find that the components of angular momentum are given by the covariant poloidal and toroidal…

Plasma Physics · Physics 2020-06-16 Matthias Wiesenberger , Markus Held

We apply the energy-momentum tensor to calculate energy, momentum and angular-momentum of two different tetrad fields. This tensor is coordinate independent of the gravitational field established in the Hamiltonian structure of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gamal Gergess Lamee Nashed

We set forth a method to analyze the orbital angular momentum of a light field. Instead of using the canonical formalism for the conjugate pair angle-angular momentum, we model this latter variable by the superposition of two independent…

Quantum Physics · Physics 2013-12-20 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , I. Rigas , J. Rehacek , Z. Hradil , G. Leuchs

We discuss in detail the spatial distribution of angular momentum inside the nucleon. We show that the discrepancies between different definitions originate from terms that integrate to zero. Even though these terms can safely be dropped at…

High Energy Physics - Phenomenology · Physics 2017-11-22 Cédric Lorcé , Luca Mantovani , Barbara Pasquini

Einstein, when he began working on the general theory of relativity, believed that energy of any kind is the source of the gravitational field. Therefore, the energy of gravity, like any energy, must be the source of the field. It was…

General Physics · Physics 2025-04-22 V. B. Morozov

We construct a general relativity formula for the law of gravity for material bodies. The formula contains three numeric parameters that are to be determined experimentally. If they are chosen from symmetry considerations, then the theory…

Mathematical Physics · Physics 2007-05-23 N. N. Chaus

The kinetic energy of a local system of objects placed in a curved spacetime is gained by the subsequent acceleration of the object following the more contracted region of spacetime. Normally this happens near massive gravitating stars.…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Eue Jin Jeong

LIGO's successful detection of gravitational waves has revitalized the theoretical understanding of the angular momentum carried away by gravitational radiation. An infinite dimensional supertranslation ambiguity has presented an essential…

General Relativity and Quantum Cosmology · Physics 2021-02-08 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau

Traditionally, the angular momentum of light is calculated for "bullet-like" electromagnetic wave packets, although in actual optical experiments "pencil-like" beams of light are more commonly used. The fact that a wave packet is bounded…

Optics · Physics 2014-03-14 Marco Ornigotti , Andrea Aiello

The vacuum expectation value of the surface energy-momentum tensor is evaluated for a massless scalar field obeying mixed boundary condition on an infinite plate moving by uniform proper acceleration through the Fulling-Rindler vacuum. The…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , M. R. Setare