We discuss the calculation of the field theory stress tensor from the dual geometry for two recent proposals for gravity duals of non-relativistic conformal field theories. The first of these has a Schrödinger symmetry including Galilean boosts, while the second has just an anisotropic scale invariance (the Lifshitz case). For the Lifshitz case, we construct an appropriate action principle. We ...

I describe how relativistic field theory generalises the defining property of material systems to possess mass to the requirement of them having a mass-energy-momentum density tensor Tμν (energy tensor for short) associated with them. I argue that according to general relativity Tμν is not an intrinsic property of matter, looking at how the energy tensor for a relativistic material system can b...

In the context of the Randall-Sundrum (RS) single-brane scenario, we discuss the bulk geometry and dynamics of a cosmological brane in terms of the local energy conservation law which exists for the bulk that allows slicing with a maximally symmetric 3-space. This conservation law enables us to define a local mass in the bulk. We show that there is a unique generalization of the dark radiation ...

Head on collision of localized waves in cold and dense hadronic matter with and without shear and bulk viscosities is investigated. Non-relativistic dynamics of propagating waves is studied using the hydrodynamics description of the system and suitable equation of state. It will be shown that the localized waves are described by solutions of the Burgers equation. Simulations show that the propa...

Some processes of heat and electrical charge transfer under relativistic conditions have been studied allowing for primordial substance anisotropy. In particular, electrical charge convection and conductivity were examined in the framework of 3-D and 4-D formalisms. Dependences were obtained in which the left-hand-sides and right-hand-sides transformed identically as v , с → where v was the vel...

The relativistic mean field model, the Zimányi Moszkowski (ZM) Lagrangian describes nuclear matter and stable finite nuclei even in the non-relativistic limit. It fails, however, to predict the correct non-relativistic spin-orbit (SO) coupling. In this paper we improve on this matter by an additional tensor coupling analogous to the anomalous gyromagnetic ratio. It can be adjusted to describe t...

Deep space laser ranging missions like ASTROD I (Single-Spacecraft Astrodynamical Space Test of Relativity using Optical Devices) and ASTROD, together with astrometry missions like GAIA and LATOR will be able to test relativistic gravity to an unprecedented level of accuracy. More precisely, these missions will enable us to test relativistic gravity to 10−7−10−9 of the size of relativistic (pos...

Surface and curvature properties of asymmetric semi-infinite nuclear matter are studied to beyond the proton drip. Using the semiclassical extended Thomas–Fermi method, the calculations are performed in the non-relativistic and relativistic mean field theories (Skyrme forces and non-linear σ−ω parametrizations). First we discuss the bulk equilibrium between the nuclear and drip phases. Next we ...