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Multiple methods for deriving the energy-momentum tensor for a physical theory exist in the literature. The most common methods are to use Noether's first theorem with the 4-parameter Poincar\'{e} translation, or to write the action in a…

Mathematical Physics · Physics 2020-11-24 Mark Robert Baker , Natalia Kiriushcheva , Sergei Kuzmin

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

A field state containing photons propagating in different directions has a non vanishing mass which is a quantum observable. We interpret the shift of this mass under transformations to accelerated frames as defining space-time observables…

Quantum Physics · Physics 2010-12-17 Marc-Thierry Jaekel , Serge Reynaud

In a continuum setting, the energy-momentum tensor embodies the relations between conservation of energy, conservation of linear momentum, and conservation of angular momentum. The well-defined total energy and the well-defined total…

Optics · Physics 2015-02-12 Michael E. Crenshaw

We present a complete resolution of the Abraham-Minkowski controversy . This is done by considering several new aspects which invalidate previous discussions. We show that: 1)For polarized matter the center of mass theorem is no longer…

Classical Physics · Physics 2017-03-09 Rodrigo Medina , J. Stephany

We compute the expectation value of the energy-momentum tensor of a real scalar field in an approximation which accounts for spacetime gradients of the hydrodynamical variables in local thermodynamical equilibrium. We show that the…

High Energy Physics - Phenomenology · Physics 2025-09-01 Sergii V. Akkelin , Dirk H. Rischke

A wavelike scalar-Einstein solution is found and indicating vectors constructed from the Bel-Robinson tensor are used to study which objects co-move with the wave and whether gravitational energy transfer is null.

General Relativity and Quantum Cosmology · Physics 2015-03-16 Mark D. Roberts

The canonical energy-momentum tensor is often considered as a purely academic object because of its gauge dependence. However, it has recently been realized that canonical quantities can in fact be defined in a gauge-invariant way provided…

High Energy Physics - Phenomenology · Physics 2016-04-20 Cédric Lorcé

In a previous Letter, we showed that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. In this…

High Energy Physics - Theory · Physics 2025-12-22 Mark Alaverdian , Zvi Bern , Dimitrios Kosmopoulos , Andres Luna , Radu Roiban , Trevor Scheopner , Fei Teng

The modification of two particle correlations within a jet due to its propagation through dense strongly interacting matter is explored. Different properties of the medium may be probed by varying the momentum of the detected hadrons. Very…

Nuclear Theory · Physics 2008-11-26 A. Majumder

Relativistic magnetized jets from active galaxies are among the most powerful cosmic accelerators, but their particle acceleration mechanisms remain a mystery. We present a new acceleration mechanism associated with the development of the…

High Energy Astrophysical Phenomena · Physics 2018-12-19 E. Paulo Alves , Jonathan Zrake , Frederico Fiuza

The unpolarized and linearly polarized gluon TMDs can be directly probed in heavy quark and jet pair production in unpolarized electron-proton collisions by looking at observables, like transverse momentum distributions and azimuthal…

High Energy Physics - Phenomenology · Physics 2015-12-29 Cristian Pisano

We construct the gravitational energy-momentum tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a tensor under the general coordinate…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Kazuharu Bamba , Katsutaro Shimizu

The problem of the energy-momentum conservation for matter in the gravitational field is discussed on the example of the effective gravity, which arises in superfluids. The "gravitational" field experienced by the relativistic-like massless…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. E. Volovik

A limiting diagram for the Segre classification of the energy-momentum tensor is obtained and discussed in connection with a Penrose specialization diagram for the Segre types. A generalization of the coordinate-free approach to limits of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Filipe M. Paiva , Marcelo J. Reboucas , Graham S. Hall , Malcolm A. H. MacCallum

In the $\bar{\mbox{\rm Poincar\'{e}}}$ gauge theory of gravity, which has been formulated on the basis of a principal fiber bundle over the space-time manifold having the covering group of the proper orthochronous Poincar\'{e} group as the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Toshiharu Kawai

The 4-index energy-momentum tensors for gravitation and matter are analyzed on the basis of new equations for the gravitational field with the Riemann tensor. Some properties of the such defined gravitational energy are discussed.

General Relativity and Quantum Cosmology · Physics 2012-10-09 Zahid Zakir

A very simple illustration of the Bell-Kochen-Specker contradiction is presented using continuous observables in infinite dimensional Hilbert space. It is shown that the assumption of the \emph{existence} of putative values for position and…

Quantum Physics · Physics 2011-11-09 Alberto C. de la Torre

In the article {\it Gen. Rel. Grav.} {\bf 32}, 1633 (2000), by J. G. Pereira and C. M. Zhang, the special relativity energy-momentum tensor was used to discuss the neutrino phase-splitting in a weak gravitational field. However, it would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. G. Pereira , C. M. Zhang

We present the discussion of the energy-momentum tensor of the scalar $\phi^4$- theory on a noncommutative space. The Noether procedure is performed at the operator level. Additionally, the broken dilatation symmetry will be considered in a…

High Energy Physics - Theory · Physics 2007-05-23 A. Gerhold , J. Grimstrup , H. Grosse , L. Popp , M. Schweda , R. Wulkenhaar
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