General relativistic corrections in density-shear correlations

General relativistic corrections to the Sagnac effect

The fact that the round trip time for a light ray moving along a closed path (thanks to suitably placed mirrors) when its source is on a turntable varies with the angular speed ω of the platform may be thought classically as obvious. Furthermore that time, for a given ω, will be different if the beam is co-rotating or counter-rotating: longer in the former case, shorter in the latter. This diff...

Relativistic corrections in magnetic systems

We present a weak-relativistic limit comparison between the Kohn-Sham-Dirac equation and its approximate form containing the exchange coupling, which is used in almost all relativistic codes of density-functional theory. For these two descriptions, an exact expression of the Dirac Green’s function in terms of the nonrelativistic Green’s function is first derived and then used to calculate the e...

Calculation of the relativistic bulk tensor and shear tensor of relativistic accretion flows in the Kerr metric.

In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...

Measuring shear viscosity using transverse momentum correlations in relativistic nuclear collisions.

Elliptic flow measurements at the Brookhaven National Laboratory Relativistic Heavy Ion Collider suggest that quark-gluon fluid flows with very little viscosity compared to weak-coupling expectations, challenging theorists to explain why this fluid is so nearly "perfect." It is therefore vital to find quantitative experimental information on the viscosity of the fluid. We propose that measureme...

Effective Hamiltonians with Relativistic Corrections