6,865 research outputs found
Emergent Dark Matter in Late Time Universe on Holographic Screen
We discuss a scenario that the dark matter in late time universe emerges as
part of the holographic stress-energy tensor on the hypersurface in higher
dimensional flat spacetime. Firstly we construct a toy model with a de Sitter
hypersurface as the holographic screen in the flat bulk. After adding the
baryonic matter on the screen, we assume that both of the dark matter and dark
energy can be described by the Brown-York stress-energy tensor. From the
Hamiltonian constraint equation in the flat bulk, we find an interesting
relation between the dark matter and baryonic matter's energy density
parameters, by comparing with the Lambda cold dark matter parameterization. We
further compare this holographic embedding of emergent dark matter with
traditional braneworld scenario and present an alternative interpretation as
the holographic universe. It can be reduced to our toy constraint in the late
time universe, with the new parameterization of the Friedmann equation. We also
comment on the possible connection with Verlinde's emergent gravity, where the
dark matter is treated as the elastic response of the baryonic matter on the de
Sitter spacetime background. We show that from the holographic de Sitter model
with elasticity, the Tully-Fisher relation and the dark matter distribution in
the galaxy scale can be derived.Comment: 28 pages, 2 figures; Matches published version and we thank the
referees for many insightful comments; v3: typos in the Friedmann equations
are fixe
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
Mini-jet thermalization and diffusion of transverse momentum correlation in high-energy heavy-ion collisions
Transverse momentum correlation in azimuthal angle of produced hadrons due to
mini-jets are studied first within the HIJING Monte Carlo model in high-energy
heavy-ion collisions. Jet quenching in the early stage of thermalization is
shown to lead to significant diffusion (broadening) of the correlation.
Evolution of the transverse momentum density fluctuation that gives rise to
such correlation in azimuthal angle in the later stage of heavy-ion collisions
is further investigated within a linearized diffusion-like equation and is
shown to be determined by the shear viscosity of the evolving dense matter.
Such a diffusion equation for the transverse momentum fluctuation is solved
with initial values given by HIJING and together with the hydrodynamic equation
for the bulk medium. The final transverse momentum correlation in azimuthal
angle is calculated along the freeze-out hyper-surface and is found further
diffused for larger values of shear viscosity to entropy density ratio . Therefore the final transverse momentum correlation in azimuthal
angle can be used to study the thermalization of mini-jets in the early stage
of heavy-ion collisions and the viscous effect in the hydrodynamic evolution of
the strongly coupled quark gluon plasma.Comment: RevTex 4, 4 pages and 2 figures, the method to determine the
fluctuation in transverse fluid velocity in the initial time of the hydro
evolution has been improved. The relevant parts have been rewritten with some
discussions and references adde
The long-range interactions between branes in diverse dimensions
We calculate the long-range interactions between two simple branes placed
parallel at a separation in diverse dimensions via an effective field theory
approach. We also compute for the first time the explicit long-range
interaction between two D-branes with each carrying a world-volume non-abelian
magnetic flux in three special cases, respectively. In particular, we
demonstrate that the half-string creation between a D-brane and a
D-brane continues to hold even in the present context, therefore lending
further support to the previous assertion of this. Our computations re-raise
also the issue in one case on whether so constructed (D, D) bound state
is actually a marginal one.Comment: 28 pages, various discussions expanded and references adde
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