We present numerical methods to solve the Israel– Stewart (IS) equations of causal relativistic dissipative fluid dynamics with bulk and shear viscosities. We then test these methods studying the Riemann problem in (1+ 1)and (2+ 1)-dimensional geometry. The numerical schemes investigated here are applicable to realistic (3 + 1)-dimensional modeling of a relativistic dissipative fluid. PACS 24.1...

In the holographic model of QCD, baryons are chiral solitons sourced by D4 flavor instantons in bulk of size 1/ √ λ with λ = gNc. Using the ADHM construction we explicit the exact two-instanton solution in bulk. We use it to construct the core NN potential to order Nc/λ. The core sources meson fields to order √ Nc/λ which are shown to contribute to the NN interaction to order Nc/λ. In holograph...

Keywords: Dirac equation Yukawa potential Coulomb-like tensor potential Spin and p-spin symmetry Nikiforov–Uvarov method a b s t r a c t This study presents the solutions of the Dirac equation with a new suggested Yukawa-type potential for any spin–orbit quantum number j interacting with a Coulomb-like tensor interaction. In the presence of spin and pseudospin (p-spin) symmetries, the approxima...

Several finite elastic strain measures are evaluated for use in constitutive models of crystalline elasticity and elasto-plasticity. These include the Green material strain tensor, the Eulerian material strain tensor, and the logarithmic material strain tensor, all of which are referred to locally relaxed coordinates invariant under spatial rotations. New applications of logarithmic strain-base...

Standard notation and terminology of differential geometry and general relativity are used in this article. All considerations are local so that the four-dimensional space-time M is assumed to be a smooth manifold diffeomorphic to R4. It is endowed with a metric tensor g of signature (1, 3) and a linear connection defining the covariant differentiation of tensor fields. Greek indices range from...

We propose a family of exactly solvable toy models for the AdS/CFT correspondence based on a novel construction of quantum error-correcting codes with a tensor network structure. Our building block is a special type of tensor with maximal entanglement along any bipartition, which gives rise to an exact isometry from bulk operators to boundary operators. The entire tensor network is a quantum er...

We believe that the radiation we receive from Gamma-Ray Bursts (GRBs) and radio loud Active Galacti Nuclei (AGNs) originates from the transformation of bulk relativistic motion into random energy. Mechanisms to produce, collimate and accelerates the jets in these sources are uncertain, and it may be fruitful to compare the characteristics of both class of sources in search of enlightening simil...

astrophysics is becoming now an integral part of general physics. considering the black hole theory ,which is a new and exciting branch of relativistic astrophysics, we see many connections between elementary particle physics and astrophysics. in this article we attempt to explain the development of star physics ,in an easy ,understandable manner. previous knowledge of relativistic theory or cl...

The post-Newtonian hydrodynamic equations for a non-perfect fluid are developed within the framework of Boltzmann equation. components energy–momentum tensor determined by considering relativistic Eckart decomposition viscous and heat conducting fluid. From Grad distribution function its expression is derived. mass density, mass-energy density momentum from transfer equation Grad’s function. In...