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A newly proposed framework of perfect-fluid relativistic hydrodynamics for particles with spin 1/2 is briefly reviewed. The hydrodynamic equations follow entirely from the conservation laws for energy, momentum, and angular momentum. The…

Nuclear Theory · Physics 2019-02-20 W. Florkowski , B. Friman , A. Jaiswal , R. Ryblewski , E. Speranza

A full symmetry classification is given for models of energy transport in radiant plasma when the mass density is spatially variable and the diffusivity is nonlinear. A systematic search for conservation laws also leads to some potential…

Mathematical Physics · Physics 2015-06-18 P. Broadbridge , N. M. Ivanova

The gravitational radiation degrees of freedom of freedom are described in the framework of the 3+1 decomposition of spacetime. The relationship with eigenfields of the Kidder-Scheel-Teukolsky (KST) equations is established. This…

General Relativity and Quantum Cosmology · Physics 2011-04-21 C. Bona , C. Palenzuela

Unimodular gravity is characterized by an extra condition with respect to General Relativity: the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation. Even…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Júlio C. Fabris , Marcelo H. Alvarenga , Mahamadou Hamani-Daouda , Hermano Velten

A fluid described by an Abelian Chern-Simons action principle in 4+1 dimensions is considered. Letting 3+1 dimensions correspond to the usual space and time, and assuming the fields to be independent of the fifth coordinate, the free theory…

Fluid Dynamics · Physics 2025-08-26 Miguel D. Bustamante , Laura Andrianopoli , Mario Trigiante , Jorge Zanelli

In this talk r-form fields in spacetimes of any dimension D are considered (r<D). The weak-field Newtonian-type limit of Einstein's equations, in general, with relativistic sources is studied in the static case yielding a revision of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikolai V. Mitskievich

The ultrarelativistic limit of twodimensional dilaton gravity is presented and its associated (anti-)selfdual energy momentum tensor is derived. It is localized on a null line, although the line element remains twice differentiable.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. Balasin , D. Grumiller

The standard approaches of phenomenology of Quantum Gravity have usually explicitly violated Lorentz invariance, either in the dispersion relation or in the addition rule for momenta. We investigate whether it is possible in 3+1 dimensions…

General Relativity and Quantum Cosmology · Physics 2014-11-05 Andrzej Banburski , Laurent Freidel

A possible way to capture the effects of quantum gravity in spacetime at a mesoscopic scale, for relatively low energies, is through an energy dependent metric, such that particles with different energies probe different spacetimes. In this…

General Relativity and Quantum Cosmology · Physics 2022-10-12 G. Chirco , S. Liberati , J. J. Relancio

Context. Turbulent convection models in nonlinear radial stellar pulsation models rely on an extra equation for turbulent kinetic energy and fail to adequately explain mode-selection problems. Since multidimensional calculations are…

Solar and Stellar Astrophysics · Physics 2026-01-09 Gábor B. Kovács , Róbert Szabó , János Nuspl

We present a conservative numerical method for radiation magnetohydrodynamics with frequency-dependent full transport in stationary spacetimes. This method is stable and accurate for both large and small optical depths and radiation…

High Energy Astrophysical Phenomena · Physics 2020-03-18 Benjamin R. Ryan , Joshua C. Dolence

The Eulerian variational formulation is presented to obtain governing equations of the electromagnetic turbulent gyrokinetic system. A local momentum balance in the system is derived from the invariance of the Lagrangian of the system under…

Plasma Physics · Physics 2024-04-09 H. Sugama

We formulate equations of time-dependent density functional theory (TDDFT) in the co-moving Lagrangian reference frame. The main advantage of the Lagrangian description of many-body dynamics is that in the co-moving frame the current…

Strongly Correlated Electrons · Physics 2009-11-10 I. V. Tokatly

We examine the behavior of the variable Eddington factor for a relativistically moving radiative flow in the vertical direction. We adopt the "one-tau photo-oval" approximation in the comoving frame. Namely, the comoving observer sees…

High Energy Astrophysical Phenomena · Physics 2015-05-13 J. Fukue

We construct a theory of particles moving in curved both momentum space and spacetime, being a generalization of Relative Locality. We find that in order to construct such theory, with desired symmetries, including the general coordinate…

General Relativity and Quantum Cosmology · Physics 2014-03-05 Francesco Cianfrani , Jerzy Kowalski-Glikman , Giacomo Rosati

We give a careful general relativistic and (1+3)-covariant analysis of cosmological peculiar velocities induced by matter density perturbations in the presence of a cosmological constant. In our quasi-Newtonian approach, constraint…

General Relativity and Quantum Cosmology · Physics 2009-11-07 George F R Ellis , Henk van Elst , Roy Maartens

The intrinsic metric symmetries for energy-momentum in warped space-time universally reinforce strict spatial flatness in the GR metric formalism. The passive/active energy-charge for the 1686, 1913, and 1915 gravitational laws maintains…

Mathematical Physics · Physics 2008-05-13 Igor Bulyzhenkov

We present a new multi-dimensional radiation-hydrodynamics code for massive stellar core-collapse in full general relativity (GR). Employing an M1 analytical closure scheme, we solve spectral neutrino transport of the radiation energy and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Takami Kuroda , Tomoya Takiwaki , Kei Kotake

It is generally accepted that the dynamics of relativistic particles in the lab frame can be described by taking into account the relativistic dependence of the particles momenta on the velocity, with no reference to Lorentz…

Accelerator Physics · Physics 2017-04-07 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

Fractons and other subdimensional particles are an exotic class of emergent quasi-particle excitations with severely restricted mobility. A wide class of models featuring these quasi-particles have a natural description in the language of…

Strongly Correlated Electrons · Physics 2019-08-21 Kevin Slagle , Abhinav Prem , Michael Pretko