Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity

Recently the Petrov type I condition is introduced to reduce the degrees of freedom in the extrinsic curvature of a timelike hypersurface to the degrees of freedom in the dual Rindler fluid in Einstein gravity. In this paper we show that the Petrov type I condition holds for the solutions of vacuum Einstein-Gauss-Bonnet gravity up to the second order in the relativistic hydrodynamic expansion. On the other hand, if imposing the Petrov type I condition and Hamiltonian constraint on a finite cutoff hypersurface, the stress tensor of the relativistic Rindler fluid in vacuum Einstein-Gauss-Bonnet gravity can be recovered with correct first order and second order transport coefficients.Comment: 25 page

Holographic Charged Fluid with Chiral Electric Separation Effect

Hydrodynamics with both vector and axial currents is under study within a holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields in an asymptotically AdS$_5$ black brane. When gravitational back-reaction is taken into account, the chiral electric separation effect (CESE), namely the generation of an axial current as the response to an external electric field, is realized naturally. Via fluid/gravity correspondence, all the first order transport coefficients in the hydrodynamic constitutive relations are evaluated analytically: they are functions of vector chemical potential $\mu$, axial chemical potential $\mu_5$ and the fluid's temperature $T$. Apart from the proportionality factor $\mu\mu_5$, the CESE conductivity is found to be dependent on the dimensionless quantities $\mu/T$ and $\mu_5/T$ nontrivially. As a complementary study, frequency-dependent transport phenomena are revealed through linear response analysis, demonstrating perfect agreement with the results obtained from fluid/gravity correspondence.Comment: 39 pages, 6 figures, 1 table; Matches published version, the main results are summarized in sec 1.1 and we thank the referee for valuable suggestion

Bis[2-(2-pyridylmethyl­eneamino)benzene­sulfonato-κ3 N,N′,O]cadmium(II) dihydrate

The title complex, [Cd(Paba)2]·2H2O or [Cd(C12H9N2O3S)2]·2H2O, was synthesized by the reaction of the potassium salt of 2-(2-pyridylmethyl­eneamino)benzene­sulfonic acid (PabaK) with CdCl2·2.5H2O in methanol. The CdII atom lies on a crystallographic twofold axis and is coordinated by four N atoms and two O atoms from two deprotonated tridentate 2-(2-pyridylmethyl­eneamino)benzene­sulfonate ligands in a slightly distorted octa­hedral environment. There are extensive hydrogen bonds of the type O—H⋯O between the uncoordinated water molecules and the sulfonate O atoms, through which the complex forms a layered structure parallel to (001)